physics essay waec 2022

waec/wassce past questions and answers for PHYSICS-2022 including pdf practical

Apr 29 2024 08:13:00 PM

John Elijah

WAEC/GCE/NECO

WASSCE objective, essay, and practical past questions and answer (PHYSICS 2022)

Table of contents, wassce/waec physics (2022) questions and answers 11 - 20, wassce/waec physics (2022) questions and answers 21 - 30, wassce/waec physics (2022) questions and answers 31 - 40, wassce/waec physics (2022) questions and answers 41 - 50, download wassce/waec physics pdf (2022) paper 2 (essay questions and answer 1 - 12), download wassce/waec physics pdf (2022) paper 3 (practical questions and answer 1 - 3), wassce/waec physics (2023) questions and answers 1 - 10, 1. the area under a force-time graph represents, 2. from the principle of flotation, a body sinks in a fluid until it displaces a quantity of fluid equal to its own, 3. suppose three identical steel balls q, r and s are placed on an undulating ground as illustrated in the diagram above. which of the balls is/are neutral equilibrium.

4. The length of a simple pendulum is increased by a factor of Four. By what factor is its period increased?

6. which of the illustrated graphs below represents a body moving with uniform retardation.

7. The correct relationship between the displacement, s of a particle initially at rest in a linear motion and the time, t is?

8. the joule is equivalent to, 9. which of the following statements is/are correct about a fixed mass of gas compressed in an inexpansible container i. the average speed of the molecules increases ii. the temeperature of the gas increases iii. the molecules hit the walls of the container more often than before the compression, 10. an example of a mechanical wave is, 11. which of the following descriptions of the image formed by a plane mirror is not correct the image is, 12. the efficiency of a wheel and axle is 100% and the ratio of their radii is 5:1. calculate the effort required to lift a load of mass 20kg using this machine. [g = 10m/s square], 13. a freely suspended compass needle on the earth's surface settles in a plane called, 14. an object is placed at different distances, u, from a converging lens of focal length, 15.0cm. for what value of u does the lens act as a simple microscope, 15. the periodic rise and fall in the intensity of sound produced when two notes of nearly equal frequencies are sounded together is called, 16. the power of a lens is +2.5 d. what is its radius of curvature, 18. current is passed through two parallel conductors in the same direction. if the conductors are placed near each otherhouses, they will, 20. the magnetic material produced from the chemical combination of metal oxides and has a very high resistance to electric current, 22. which of the following statements about a straight current-carrying wire placed in a uniform magnetic field is correct the wire experiences, 23. three cells each of emf, 1.1 v, and internal resistance, 2 ohms are connected in parallel across a 3 resistor. determine the current in the resistor., 24. which of the following statements about electric potential energy is not correct, 25. a galvanometer with a full scale deflection of 20ma is converted to read 8 v by connecting a 395 ohms resistor in series with it. determine the internal resistance of the galvanometer, 26. an inductor of inductance 10 h is connected across an a.c circuit source of 50 v, 100 hz. what is the current in the circuit [pi = 3.14], 27. the speed of fast moving neutrons in a nuclear reactor can be reduced by using, 28. in a series r-l-c circuit at resonance, impedance is, 29. a lamp is rated 240 v, 60 w. determine the resistance of the lamp when lit, 30. one major reason why electrical appliances in homes are normally earthed is that the, 31. in doping an intrinsic semiconductor to produce a p-type semiconductor,, 32. arrange the following radiations in order of increasing ionization of air i. alpha ii. gamma iii. beta, 34. gamma rays are produced when, 35. the half-life of a radioactive substance is 15 hours. if at some instanceof, the sample has a mass of 512g, calculate the time it will take 7/8 of the sample to decay, 36. when the direction of vibration of the particles of a medium is perpendicular to the direction of propagation of a waveshapernode, the wave is said to be, 37. a hunter fires a gun at a point 408m away from a cliff. if he hears an echo 2.4s later, determine the speed of the sound wave, 38. the distane between the fixed points of a mercury-in-glass thermometer is 30cm. determine the temperature when the mercury level is 10.5cm above the lower fixed point, 39. which of the following statements about electromagnetic waves is not correct, 41. which of the following concepts is a method of heat transfer that does not require a material medium, 42. which of the following statements about light travelling from one material medium to another is not correct, 43. the engine of a car provides a forward force of 1240n and the total resistive force on the car is 800n. if the mass of the car is 1220kg, determine the distance the car has to travel from the rest before acquiring a speed of 4m/s, 45. a small object of mass 50g is released from a point a. determine the velocity of the object when it reaches a point barprop, a vertical distance of 30m below abortcontroller. [g = 10m/s square], 46. molecules move in random motion within a liquid. the total internal energy of the liquid depends on all of the following except its, 47. the viscosity of a fluid depends on the following factors except the, 48. using vernier calipers, which of the following readings gives the correct measurement for the length of a rod, 49. the basic principle of operation of a beam balance is, 50. in which of the following situation is friction not useful, i recommend you check my article on the following:, poscholars team..

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3 Comments on " 2022 WAEC(WASSCE) PDF PAST QUESTIONS AND ANSWERS FOR PHYSICS INCLUDING PRACTICAL "

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2022 WAEC Physics Essay and Objective Questions and Answers Now Available

Wednesday, 15th June 2022 Physics 2 (Essay) 09:30am – 11:00am Physics 1 (Objective) 11:00am – 12:15pm

2022-WAEC-PHYSICS-ESSAY-AND-OBJECTIVE-ANSWERS

PHYSICS-OBJ- Examcode.net PHYSICS OBJ 01-10: BCABBDDCDA 11-20: CAACABBBBC 21-30: BDCCBDABDA 31-40: CABBCBACCD 41-50: DDBDDDCBDD

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PHYSICS-ESSAY- Examcode.net INSTRUCTION: Answer Eight (8) Questions in All. Five Questions From Part I and Three Questions From Part II. ===================================

PART I Answer Any Five Questions From This Part. ===========================

(1) Range /PQ/ = u²sin2θ/g u = 250ms-¹ θ =42° = [250² x sin(2×42°)]/10 = (62,500 x sin84°)/10 = 6250 x 0.9945 = 6215.63m ===========================

(2) (i) They are pure semiconductors with impurities less than 1 and have teravalent crystals (ii) Presence of mobile charge carriers is intrinsic property of material (iii) No doping or addition of impurities required. ===========================

(4) F = 50N k = 100Nm-¹ F = ke 50 = 100e e = 50/100 = 0.5m Work done = (1/2)ke² = 1/2 x 100 x 0.5² = 25/2 = 12.5joules ===========================

(5a) A geostationary satellite is an earth orbiting satellite placed at an altitude of approximately 35,800km directly over the equator that revolves in the same direction which the earth rotates.

(5b) (i) Gas lasers (ii) Solid-state lasers ===========================

(6a) The S.I unit is watt per steradian (W/sr)

(6b) (i) As the temperature of the black body increases, the peak wavelength decreases. (ii) The total energy being radiated is the area under the graph. ===========================

(7) (i) Magnetic materials are materials having a magnetic domain and are attracted to an external magnetic field WHILE Non-magnetic materials are materials that are not attracted to an external magnetic field. (ii) The magnetic domains of magnetic materials are aligned either parallel or antiparallel arrangements thus they can respond to a magnetic field when they are under the influence of an external magnetic field WHILE The magnetic domains of non-magnetic materials are arranged in a random manner in such a way that the magnetic moments of these domains are cancelled out. Thus, they do not respond to a magnetic field. (iii) Magnetic materials are used to make permanent magnets are the parts of operating systems where magnetic properties are required WHILE Non-magnetic materials are used to make parts of some operating systems where no magnetic effect are expected and other things such as cases of compasses. ===========================

PART II Answer Three Questions From This Part. ===========================

(8ai) The law of inertia states that a body will continue in its present state of rest or if it is in motion, will continue to move with uniform speed in a straight line unless it is acted upon by a force.

(8aii) When the brakes of the moving vehicle are suddenly applied, or the passengers jerks forward as thet tend to continue in a straight line. The seat belt helps to provide a backward force and reduces injuries.

(8bi) The moment of a force about a fixed point is the product of the force and the perpendicular distance at the point to the line of action of the force.

(II) clock wise moment = Anticlock wise moment T x 1.5 = 54 x 0.5 T = 54×0.5/1.5 T = 18N

(III) F + T = w F = w – T F = 54 – 8 F = 36N

(8c) [TABULATE]

=STATIC FRICTION= (i) Independent of surface area in contact (ii) Depends on normal reaction ( of one solid surface on the other) (iii) Occurs between solids surfaces in contact

=VISCOSITY= (i) Depends in surface area in contact (ii) Independent of normal reaction (iii) occurs between fluid layers/solid and fluid in contact/in fluids.

(8d) By increasing the number of pulleys.

===========================

(9ai) Coulomb’s law states that the electric force between two point charges, q₁ and q₂ separated by a distance r is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.

(9aii) Given r = 5.28×10-¹¹m k = 9.0×10⁹mF-¹ q₂ = q₁ = 1.6×10⁻¹⁹C = q Electrostatic force F = kq²/r² F = [9.0×10⁹(1.6×10⁻¹⁹)²]/(5.2×10⁻¹¹)² F = 0.852×10⁻¹⁶N F = 8.52×10⁻¹⁷N

(9bi) (i) Current I = Vin/R₁+R₂ I = Ir₁ =Ir₂ Vout = Vr₂ = Ir₁ x R₂ Vout = [Vin/(R₁+R₂)] x R₂ Vout = Vin[R₂/(R₁+R₂)]

(ii) Given; Vin/Vout = (R₁+R₂)/R₂ = 2.5 Where R₂ = 30Ω (R₁+30)/30 = 2.5 R₁+30 = 75 R₁ = 75 – 30 R₁ = 45Ω

(9bii) The volt is the work done of one joule in taking one coulomb of positive charge from one point to another.

(9c) A wooden core cannot provide path to the flux which is needed to link either the secondary or primary side

(9d) Used in medicine for visual functions. ===========================

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WAEC Syllabus for Physics 2022/2023 – PDF

Are you searching for WAEC Syllabus for Physics 2022/2023? If yes, then your search ends here. Edugist has provided you with both PDF and typed version of the WAEC Syllabus for Physics 2022/2023. The syllabus will provide you with vital information the examination and indicate the scope of the course for Physics examination. It is also advisable to study in accordance with your waec syllabus, to succeed in your forthcoming examination. You will also need to have a complete WAEC syllabus for all subjects so that your preparation can have direction

It is structured with the conceptual approach. The broad concepts of matter, position, motion and time; energy; waves; fields; Atomic and Nuclear Physics, electronics are considered and each concept forms a part on which other sub-concepts are further based.

The aims of the syllabus are to enable candidates

acquire proper understanding of the basic principles and applications of Physics;
develop scientific skills and attitudes as pre-requisites for further scientific activities;
recognize the usefulness, and limitations of scientific method to appreciate its applicability ion other disciplines and in every life;
develop abilities, attitudes and skills that encourage efficient and safe practice;
develop scientific attitudes such as accuracy, precision, objectivity, integrity, initiative and inventiveness.

ASSESSMENT OBJECTIVES

The following activities appropriate to Physics will be tested:

(1) Acquisition of knowledge and understanding: Candidates should be able to demonstrate knowledge and understanding of

Scientific phenomena, facts laws, definitions, concepts and theories;
Scientific vocabulary, terminology and conventions (including symbols, quantities and units);
The use of scientific apparatus, including techniques of operation and aspects of safety;
Scientific quantities and their determinations;
Scientific and technological applications with their social economic and environmental implications.

(2) Information Handling and Problem-solving

Candidates should be able, using visual, oral, aural and written (including symbolic, diagrammatic, graphical and numerical) information to

locate select, organize and present information from a variety of sources including everyday experience;
analyse and evaluate information and other data;
use information to identify patterns, report trends and draw inferences;
present reasonable explanations for natural occurrences, patterns and relationships;
make predictions from data.

(3) Experimental and Problem-Solving Techniques

Candidates should be able to

follow instructions;
carry out experimental procedures using apparatus;
make and record observations, measurements and estimates with due regard to precision, accuracy and units;
interpret, evaluate and report on observations and experimental data;
identify problems, plan and carry out investigations, including the selection of techniques, apparatus, measuring devices and materials;
evaluate methods and suggest possible improvements;
state and explain the necessary precautions taken in experiments to obtain accurate results.

SCHEME OF EXAMINATION

There will be three papers, Papers 1, 2 and 3, all of which must be taken. Papers 1 and 2 will be a composite paper to be taken at one sitting.

PAPER 1 : Will consist of fifty multiple choice questions lasting 1¼ hours and carrying 50 marks.

PAPER 2 : Will consist of two sections, Sections A and B lasting1½ hours and carrying 60 marks.

Section A – Will comprise seven short-structured questions. Candidates will be required to answer any five questions for a total of 15 marks.

Section B – Will comprise five essay questions out of which candidates will be required to answer any three for 45 marks.

PAPER 3 : Will be a practical test for school candidates or an alternative to practical work paper for private candidates. Each version of the paper will comprise three questions out of which candidates will be required to answer any two in 2¾ hours for 50 marks.

DETAILED SYLLABUS

It is important that candidates are involved in practical activities in covering this syllabus. Candidates will be expected to answer questions on the topics set in the column headed ‘ TOPIC’. The ‘NOTES’ are intended to indicate the scope of the questions which will be set but they are not to be considered as an exhaustive list of limitations and illustrations.

NOTE: Questions will be set in S.I. units. However, multiples or sub-multiples of the units may be used.

CLICK THE LINK BELOW TO DOWNLOAD THE PDF VERSION

PART 1 : INTERACTION OF MATTER, SPACE & TIME ( WAEC Syllabus for Physics 2022/2023)

TOPICS	NOTES
1. Concepts of matter	Simple structure of matter should be discussed. Three physics states of matter, namely solid, liquid and gas should be treated. Evidence of the particle nature of matter e.g. Brownian motion experiment, Kinetic theory of matter. Use of the theory to explain; states of matter (solid, liquid and gas), pressure in a gas, evaporation and boiling; cohesion, adhesion, capillarity. Crystalline and amorphous substances to be compared (Arrangement of atoms in crystalline structure to be described e.g. face centred, body centred.
2. Fundamental and derived quantities and units Fundamental quantities and units (b) Derived quantities and units	Length, mass, time, electric current luminous intensity, thermodynamic temperature, amount of substance as examples of fundamental quantities and m, kg, s, A, cd, K and mol as their respective units. Volume, density and speed as derived quantities and m3, kgm-3 and ms as their respective units.
3. Position, distance and displacement. (a) Concept of position as a location of point-rectangular coordinates. (b) Measurement of distance (c) Concept of direction as a way of locating a point –bearing (d) Distinction between distance and displacement.	Position of objects in space using the X,Y,Z axes should be mentioned. Use of string, metre rule, vernier calipers and micrometer screw gauge. Degree of accuracy should be noted. Metre (m) as unit of distance. Use of compass and a protractor. Graphical location and directions by axes to be stressed.
4. Mass and weight Distinction between mass and weight	Use of lever balance and chemical/beam balance to measure mass and spring balance to measure weight. Mention should be made of electronic/digital balance. Kilogram (kg) as unit of mass and newton (N) as unit of weight.
5. Time (a) Concept of time as interval between physical events (b) Measurement of time	The use of heart-beat, sand-clock, ticker-timer, pendulum and stopwatch/clock. Second(s) as unit of time.
6. Fluid at rest (a) Volume, density and relative density (b) Pressure in fluids (c) Equilibrium of bodies (i) Archimedes’ principle (ii) Law of flotation	Experimental determination for solids and liquids. Concept and definition of pressure. Pascal’s principle, application of principle to hydraulic press and car brakes. Dependence of pressure on the depth of a point below a liquid surface. Atmospheric pressure. Simple barometer, manometer, siphon, syringe and pump. Determination of the relative density of liquids with U-tube and Hare’s apparatus. Identification of the forces acting on a body partially or completely immersed in a fluid. Use of the principle to determine the relative densities of solids and liquids. Establishing the conditions for a body to float in a fluid. Applications in hydrometer, balloons, boats, ships, submarines etc.
7. Motion (a) Types of motion: Random, rectilinear, translational, Rotational, circular, orbital, spin, Oscillatory. (b) Relative motion (c) Cause of motion (d) Types of force: (i) Contact force (ii) Non-contact force(field force) (e) Solid friction (f) Viscosity (friction in fluids) (g) Simple ideas of circular motion	Only qualitative treatment is required. Illustration should be given for the various types of motion. Numerical problems on co-linear motion may be set. Force as cause of motion. Push and pull These are field forces namely; electric and magnetic attractions and repulsions; gravitational pull. Frictional force between two stationary bodies (static) and between two bodies in relative motion (dynamic). Coefficients of limiting friction and their determinations. Advantages of friction e.g. in locomotion, friction belt, grindstone. Disadvantages of friction e.g reduction of efficiency, wear and tear of machines. Methods of reducing friction; e.g. use of ball bearings, rollers, streamlining and lubrication. Definition and effects. Simple explanation as extension of friction in fluids. Fluid friction and its application in lubrication should be treated qualitatively. Terminal velocity and its determination. Experiments with a string tied to a stone at one end and whirled around should be carried out to (i) demonstrate motion in a Vertical/horizontal circle. (ii) show the difference between angular speed and velocity. (iii) Draw a diagram to illustrate centripetal force. Banking of roads in reducing sideways friction should be qualitatively discussed.
8. Speed and velocity (a) Concept of speed as change of distance with time (b) Concept of velocity as change of displacement with time (c) Uniform/non-uniform speed/velocity (d) Distance/displacement-time graph	Metre per second (ms-1) as unit of speed/velocity. Ticker-timer or similar devices should be used to determine speed/velocity. Definition of velocity as Δ s/ Δt. Determination of instantaneous speed/velocity from distance/displacement-time graph and by calculation.
9. Rectilinear acceleration (a) Concept of Acceleration/deceleration as increase/decrease in velocity with time. (b) Uniform/non-uniform acceleration (c) Velocity-time graph (d) Equations of motion with constant acceleration; Motion under gravity as a special case.	Unit of acceleration as ms-2 Ticker timer or similar devices should be used to determine acceleration. Definition of acceleration as Δ v/ Δt . Determination of acceleration and displacement from velocity-time graph Use of equations to solve numerical problems.
10. Scalars and vectors (a) Concept of scalars as physical quantities with magnitude and no direction (b) Concept of vectors as physical quantities with both magnitude and direction. (c) Vector representation (d) Addition of vectors (e) Resolution of vectors (f) Resultant velocity using vector representation.	Mass, distance, speed and time as examples of scalars. Weight, displacement, velocity and acceleration as examples of vectors. Use of force board to determine the resultant of two forces. Obtain the resultant of two velocities analytically and graphically.
11. Equilibrium of forces (a) Principle of moments (b) Conditions for equilibrium of rigid bodies under the action of parallel and non-parallel forces. (c) Centre of gravity and stability	Torque/Moment of force. Simple treatment of a couple, e.g. turning of water tap, corkscrew and steering wheel.) Use of force board to determine resultant and equilibrant forces. Treatment should include resolution of forces into two perpendicular directions and composition of forces Parallelogram of forces. Triangle of forces. Should ne treated experimentally. Treatment should include stable, unstable and neutral equilibrium.
12. Simple harmonic motion (a) Illustration, explanation and definition of simple harmonic motion (S.H.M) (b) Speed and acceleration of S.H.M. (c) Period, frequency and amplitude of a body executing S.H.M. (d) Energy of S.H.M (e) Forced vibration and resonance	Use of a loaded test-tube oscillating vertically in a liquid, simple pendulum, spiral spring and bifilar suspension to demonstrate simple harmonic motion. Relate linear and angular speeds, linear and angular accelerations. Experimental determination of ‘g’ with the simple pendulum and helical spring. The theory of the principles should be treated but derivation of the formula for ‘g’ is not required Simple problems may be set on simple harmonic motion. Mathematical proof of simple harmonic motion in respect of spiral spring, bifilar suspension and loaded test-tube is not required.
13. Newton’s laws of motion: (a) First Law: Inertia of rest and inertia of motion (b) Second Law: Force, acceleration, momentum and impulse (c) Third Law: Action and reaction	Distinction between inertia mass and weight Use of timing devices e.g. ticker-timer to determine the acceleration of a falling body and the relationship when the accelerating force is constant. Linear momentum and its conservation. Collision of elastic bodies in a straight line. Applications: recoil of a gun, jet and rocket propulsions.

PART II : ENERGY -Mechanical and Heat


14. Energy: (a) Forms of energy (b) World energy resources (c) Conservation of energy.	– Examples of various forms of energy should be mentioned e.g. mechanical (potential and kinetic), heat chemical, electrical, light, sound, nuclear. – Renewable (e.g. solar, wind, tides, hydro, ocean waves) and non-renewable (e.g. petroleum, coal, nuclear, biomass) sources of energy should be discussed briefly. – Statement of the principle of conservation of energy and its use in explaining energy transformations.
15. Work, Energy and Power (a) Concept of work as a measure of energy transfer (b) Concept of energy as capability to do work (c) Work done in a gravitational field. (d) Types of mechanical energy (i) Potential energy (P.E.) (ii) Kinetic energy (K.E) (e) Conservation of mechanical energy. (f) Concept of power as time rate of doing work. (g) Application of mechanical energy-machines. Levers, pulleys, inclined plane, wedge, screw, wheel and axle, gears.	Unit of energy as the joule (J) while unit of electrical consumption is KWh. Work done in lifting a body and by falling bodies Derivation of P.E and K.E are expected to be known. Identification of types of energy possessed by a body under given conditions. Verification of the principle. Unit of power as the watt (W) The force ratio (F.R), mechanical advantage (M.A), velocity ratio (V.R) and efficiency of each machine should be treated. Identification of simple machines that make up a given complicated machine e.g. bicycle. Effects of friction on Machines. Reduction of friction in machines.
16. Heat Energy (a) Temperature and its measurement (b) Effects of heat on matter e.g (i) Rise in temperature (ii) Change of phase state (iii) Expansion (iv) Change of resistance (c) Thermal expansion – Linear, area and volume expansivities (d) Heat transfer – Condition, convention and radiation. (e) The gas laws-Boyle’s law Charles’ law, pressure law and general gas law (f) Measurement of heat energy: (i) Concept of heat capacity (ii) Specific heat capacity. (g) Latent heat (i) Concept of latent heat (ii) Melting point and boiling Point (iii) Specific latent heat of fusion and of vaporization (h) Evaporation and boiling (i) Vapour and vapour pressure (j) Humidity, relative humidity and dew point (k) Humidity and the weather	Concept of temperature as degree of hotness or coldness of a body. Construction and graduation of a simple thermometer. Properties of thermometric liquids. The following thermometer, should be treated: Constant – volume gas thermometer, resistance thermometer, thermocouple, liquid-in-glass thermometer including maximum and minimum thermometer and clinical thermometer, pyrometer should be mentioned. Celsius and Absolute scales of temperature. Kelvin and degree Celsius as units of temperature. Use of the Kinetic theory to explain effects of heat. Mention should be made of the following effects: Change of colour Thermionic emission Change in chemical properties Qualitative and quantitative treatment Consequences and application of expansions. Expansion in buildings and bridges, bimetallic strips, thermostat, over-head cables causing sagging nd in railway lines causing buckling. Real and apparent expansion of liquids. Anomalous expansion of water. Per Kelvin (K-1) as the unit of expansivity. Use of the kinetic theory to explain the modes of heat transfer. Simple experimental illustrations. Treatment should include the explanation of land and sea breezes, ventilation and application s in cooling devices. The vacuum flask. The laws should be verified using simple apparatus. Use of the kinetic theory to explain the laws. Simple problems may be set. Mention should be made of the operation of safety air bags in vehicles. Use of the method of mixtures and the electrical method to determine the specific heat capacities of solids and liquids. Land and sea breezes related to the specific heat capacity of water and land, Jkg-1 K as unit of specific heat capacity. Explanation and types of latent heat. Determination of the melting point of solid and the boiling point of a liquid. Effects of impurities and pressure on melting and boiling points. Application in pressure cooker. Use of the method of mixtures and the electrical method to determine the specific latent heats of fusion of ice and of vaporization of steam. Applications in refrigerators and air conditioners. Jkg as unit of specific latent heat Effect of temperature, humidity, surface area and draught on evaporation to be discussed. Explanation of vapour and vapour pressure. Demonstration of vapour pressure using simple experiments. Saturated vapour pressure and its relation to boiling. Measurement of dew point and relative humidity. Estimation of humidity of the atmosphere using wet and dry-bulb hygrometer. Formation of dew, fog and rain.

PART III: WAVES

17. Production and propagation of waves (a) Production and propagation of mechanical waves (b) Pulsating system: Energy transmitted with definite speed, frequency and wavelength. (c) Waveform (d) Mathematical relationship connecting frequency (f), wavelength(𝛌), period (T) and velocity (v)	Use of ropes and springs (slinky) to generate mechanical waves Use of ripple tank to show water waves and to demonstrate energy propagation by waves. Hertz(Hz) as unit of frequency. Description and graphical representation. Amplitude, wave length, frequency and period. Sound and light as wave phenomena. V= f𝛌 and T = 1𝑓 simple problems may be set.
18. Types of waves (a) Transverse and longitudinal (b) Mathematical representation of wave motion.	Examples to be given Equation y = A sin (wt± 2𝜋𝑥/𝜆) to be explained Questions on phase difference will not be set.
19. Properties of waves: Reflection, refraction, diffraction, Interference, superposition of progressive waves producing standing stationary waves	Ripple tank should be extensively used to demonstrate these properties with plane and circular waves. Explanation of the properties.
20. Light waves (a) Sources of light (b) Rectilinear propagation of light (c) Reflection of light at plane surface: plane mirror (d) Reflection of light at curved surfaces: concave and convex mirrors (e) Refraction of light at plane surfaces: rectangular glass prism (block) and triangular prism. (f) Refraction of light at curved surfaces: Converging and diverging lenses (g) Application of lenses in optical instruments. (h) Dispersion of white light by a triangular glass prism.	Natural and artificial. Luminous and non-luminous bodies. Formation of shadows and eclipse. Pinhole camera. Simple numerical problems may be set. Regular and irregular reflections. Verification of laws of reflection. Formation of images. Inclined plane mirrors. Rotation of mirrors. Applications in periscope, sextant and kaleidoscope. Laws of reflection. Formation of images. Characteristics of images. Use of mirror formulae: 1𝑢+1𝑣 = 1𝑓 and magnification m = 𝑣𝑢 to solve numerical problems. (Derivation of formulae is not required) Experimental determination of the focal length of concave mirror. Applications in searchlight, parabolic and driving mirrors, car headlamps etc. Laws of refraction. Formation of images, real and Apparent depths. Critical angle and total internal reflection. Lateral displacement and angle of deviation. Use of minimum deviation equation: Sin (A + Dm) / Sin A/2 𝜇 = 2 (Derivation of the formula is not required) Applications: periscope, prism binoculars, optical fibres. The mirage. Formation of images. Use of lens formulae 1/𝑢+1/𝑣 = 1/𝑓 and magnification 𝑣/𝑢 =m solve numerical problems. (derivation of the formulae not required). Experimental determination of the focal length of converging lens. Power of lens in dioptres (D) Simple camera, the human eye, film projector, simple and compound microscopes, terrestrial and astronomical telescopes. Angular magnification. Prism binoculars. The structure and function of the camera and the human eye should be compared. Defects of the human eye and their corrections. Production of pure spectrum of a white light. Recombination of the components of the spectrum. Colours of objects. Mixing coloured lights.
21. Electromagnetic waves: Types of radiation in electromagnetic Spectrum	Elementary description and uses of various types of radiation: Radio, infrared, visible light, ultra-violet, X-rays, gamma rays.
22. Sound Waves (a) Sources of sound (b) Transmission of sound waves (c) Speed of sound in solid, liquid and air (d) Echoes and reverberation (e) Noise and music (f) Characteristics of sound (g) Vibration in strings (h) Forced vibration (i) Resonance (ii) Harmonies and overtones (i) Vibration of air in pipe – open and closed pipes	Experiment to show that a material medium is required. To be compared. Dependence of velocity of sound on temperature and pressure to be considered. Use of echoes in mineral exploration, and determination of ocean depth. Thunder and multiple reflections in a large room as examples of reverberation. Pitch, loudness and quality. The use of sonometer to demonstrate the dependence of frequency (f) on length (1), tension (T) and mass per unit length (liner density) (m) of string should be treated. Use of the formula: 𝑓o = 1/2l Ö 𝑇/𝑚 In solving simple numerical problems. Applications in stringed instruments: e.g. guitar, piano, harp and violin. Use of resonance boxes and sonometer to illustrate forced vibration. Use of overtones to explain the quality of a musical note. Applications in percussion instruments: e.g drum, bell, cymbals, xylophone. Measurement of velocity of sound in air or frequency of tuning fork using the resonance tube. Use of the relationship v = 𝑓𝛌 in solving numerical problems. End correction is expected to be mentioned. Applications in wind instruments e.g. organ, flute, trumpet, horn, clarinet and saxophone.

PART IV : FIELDS

23. Description property of fields. (a) Concept of fields: Gravitational, electric and Magnetic (b) Properties of a force field	Use of compass needle and iron filings to show magnetic field lines.
24. Gravitational field (a) Acceleration due to gravity, (g) (b) Gravitational force between two masses: Newton’s law of gravitation (c) Gravitational potential and escape velocity.	G as gravitational field intensity should be mentioned, g = F/m. Masses include protons, electrons and planets Universal gravitational constant (G) Relationship between ‘G’ and ‘g’ Calculation of the escape velocity of a rocket from the earth’s gravitational field.
25. Electric Field (1) Electrostatics (a) Production of electric charges (b) Types of distribution of charges (c) Storage of charges (d) Electric lines of force (e) Electric force between point charges: Coulomb’s law (f) Concepts of electric field, electric field intensity (potential gradient) and electric potential. (g) Capacitance- Definition, arrangement and application (2) Current electricity (a) Production of electric current from primary and secondary cells (b) Potential difference and electric current (c) Electric circuit (d) Electric conduction through materials (e) Electric energy and power (f) Shunt and multiplier (g) Resistivity and Conductivity (h) Measurement of electric current, potential difference, resistance, e.m.f. and internal resistance of a cell.	Production by friction, induction and contact. A simple electroscope should be used to detect and compare charges on differently-shaped bodies. Application in light conductors. Determination, properties and field patterns of charges. Permittivity of a medium. Calculation of electric field intensity and electric potential of simple systems. Factors affecting the capacitance of a parallel-plate capacitor. The farad (F) as unit of capacitance. Capacitors in series and in parallel. Energy stored in a charged capacitor. Uses of capacitors: e.g. in radio and Television. (Derivation of formulae for capacitance is not required) Simple cell and its defects. Daniel cell, Lechanché cell (wet and dry). Lead-acid accumulator. Alkalne-cadium cell. E.m.f. of a cell, the volt (V) as unit of e.m.f. Ohm’s law and resistance. Verification of Ohm’s law. The volt (V), ampere (A) and ohm (Ω) as units of p.d., current and reisistance respectively. Series and parallel arrangement of cells and resistors. Lost volt and internal resistance of batteries. Ohmic and non ohmic conductors. Examples of ohmic conductors are metals, non-ohmic conductors are semiconductors. Quantitative definition of electrical energy and power. Heating effect of an electric current and its application. Conversion of electrical energy to mechanical energy e.g. electric motors. Conversion of solar energy to electrical and heat energies: e.g. solar cells, solar heaters. Use in conversion of a galvanometer into an ammeter and a voltmeter. Factors affecting the electrical resistance of a material should be treated. Simple problems may be set. Principle of operation and use of ammeter, voltmeter, potentiometer. The wheatstone bridge and metre bridge.
26. Magnetic field (a) Properties of magnets and magnetic materials. (b) Magnetization and demagnetization. (c) Concept of magnetic field (d) Magnetic force on: (i) a current-carrying conductor placed in a magnetic field; (ii) between two parallel current-carrying conductors (e) Use of electromagnets (f) The earth’s magnetic field (g) Magnetic force on a moving charged particle	Practical examples such as soft iron, steel and alloys. Temporary and permanent magnets. Comparison of iron and steel as magnetic materials. Magnetic flux and magnetic flux density. Magnetic field around a permanent magnet, a current-carrying conductor and a solenoid. Plotting of line of force to locate neutral points Units of magnetic flux and magnetic flux density as weber (Wb) and tesla (T) respectively. Qualitative treatment only. Applications: electric motor and moving-coil galvanometer. Examples in electric bell, telephone earpiece etc. Mariner’s compass. Angles of dip and declination. Solving simple problems involving the motion of a charged particle in a magnetic field, using F=qvB sin 𝜃
27. Electromagnetic field (a) Concept of electromagnetic field (b) Electromagnetic induction Faraday’s law ,Lenz’s law and motor-generator effect (c) Inductance (d) Eddy currents (e) Power transmission and distribution	Applications: Generator (d.c.and a.c.) induction coil and transformer. The principles underlying the production of direct and alternating currents should be treated. Equation E = Eo sinwt should be explained. Qualitative explanation of self and mutual inductance. The unit of inductance is henry (H). (E = ½ LI ) Application in radio,T.V., transformer. (Derivation of formula is not required). A method of reducing eddy current losses should be treated. Applications in induction furnace, speedometer, etc. Reduction of power losses in high-tension transmission lines. Household wiring system should be discussed.
28. Simple a.c. circuits (a) Graphical representation of e.m.f and current in an a.c. circult. (b) Peak and r..m.s. values (c) Series circuit containing resistor, inductor and capacitor (d) Reactance and impedance (e) Vector diagrams (f) Resonance in an a.c, circuit (g) Power in an a.c. circuit.	Graphs of equation I – Io sin wt and\E = Eo sinwt should be treated. Phase relationship between voltage and current in the circuit elements; resistor, inductor and capacitor. Simple calculations involving a.c. circuit. (Derivation of formulae is not required.) XL and Xc should be treated. Simple numerical problems may be set. Applications in tuning of radio and T.V. should be discussed.

PART V: ATOMIC AND NUCELAR PHYSICS

29. Structure of the atom (a) Models of the atom (b) Energy quantization (c) Photoelectric effect (d) Thermionic emission (e) X-rays	Thomson, Rutherford, Bohr and electron-cloud (wave-mechanical) models should be discussed qualitatively. Limitations of each model. Quantization of angular momentum (Bohr) Energy levels in the atom. Colour and light frequency. Treatment should include the following: Frank-Hertz experiment, Line spectra from hot bodies, absorption spectra and spectra of discharge lamps. Explanation of photoelectric effect. Dual nature of light. Work function and threshold frequency. Einstein’s photoelectric equation and its explanation. Application in T.V., camera, etc. Simple problems may be set. Explanation and applications. Production of X-rays and structure of X-ray tube. Types, characteristics, properties, uses and hazards of X-rays. Safety precautions
30. Structure of the nucleus (a) Composition of the nucleus (b) Radioactivity – Natural and artificial (c) Nuclear reactions — Fusion and Fission	Protons and neutrons. Nucleon number (A), proton number (Z), neutron number (N) and the equation: A-Z + N to be treated. Nuclides and their notation. Isotopes. Radioactive elements, radioactive emissions (𝛼,β,𝛾)and their properties and uses. Detection of radiations by G – M counter, photographic plates, etc. should be mentioned. Radioactive decay, half-life and decay constant. Transformation of elements. Applications of radioactivity in agriculture, medicine, industry, archaeology, etc. Distinction between fusion and fission. Binding energy, mass defect and energy equation: E= Δ mc2 Nuclear reactors. Atomic bomb. Radiation hazards and safety precautions. Peaceful uses of nuclear reactions.
31. Wave-particle paradox (a) Electron diffraction (b) Duality of matter	Simple illustration of the dual nature of light.

HARMONISED TOPICS FOR SHORT STRUCTURED QUESTIONS FOR ALL MEMBER COUNTRIES


1. Derived quantities and dimensional Analysis	Fundamental quantities and units e.g. Length, mass, time, electric current, luminous intensity e.t.c., m, kg,s, A, cd, e.t.c. as their respective units Derived quantities and units. e.g. volume, density, speed e.t.c. m , kgm , ms e.t.c. as their respective unit Explanation of dimensions in terms of fundamental and derived quantities. Uses of dimensions to – verity dimensional correctness of a given equation – derive the relationship between quantities – obtain derived units.
2. Projectile motion concept of projectiles as an object thrown/release into space	Applications of projectiles in warfare, sports etc. Simple problems involving range, maximum height and time of flight may be set.
3. Satellites and rockets	Meaning of a satellite comparison of natural and artificial satellites parking orbits, Geostationary satellites and period of revolution and speed of a satellite. Uses of satellites and rockets
4. Elastic Properties of solid: Hooke’s law, Young’s modules and work done in springs and string	Behaviour of elastic materials under stress – features of load – extension graph Simple calculations on Hook’s law and Young’s modulus.
5. Thermal conductivity: Solar energy collector and Black body Radiation.	Solar energy; solar panel for heat energy supply. Explanation of a blackbody. Variation of intensity of black body radiation with wavelength at different temperatures.
6. Fibre Optics	Explanation of concept of fibre optics. Principle of transmission of light through an optical fibre Applications of fibre optics e.g. local area Networks (LAN) medicine, rensing devices, carrying laser beams e.t.c.
7. Introduction to LASER	Meaning of LASER Types of LASERS (Solid state, gas, liquid and semi-conductor LASERS Application of LASERS (in Scientific research, communication, medicine military technology, Holograms e.t.c. Dangers involved in using LASERS.
8. Magnetic materials	Uses of magnets and ferromagnetic materials.
9. Electrical Conduction through materials [Electronic]	Distinction between conductors, semiconductors and insulators in term of band theory. Semi conductor materials (silicon and germanium) Meaning of intrinsic semiconductors. (Example of materials silicon and germanium). Charge carriers Doping production of p-type and n-type extrinsic semi conductors. Junction diode – forward and reverse biasing, voltage characteristics. Uses of diodes Half and full wave rectification.
10. Structure of matter	– Use of kinetic theory to explain diffusion.
11. Wave – particle paradox	– Electron diffraction – Duality of matter – Simple illustrations of dual nature of light.

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2022 WAEC Physics Theory (a)(i) State Coulomb's law of electrostatics. (ii) The electron and proton of a hydrogen atom...

(a)(i) State Coulomb's law of electrostatics.

(ii) The electron and proton of a hydrogen atom are separated by a mean distance of 5.2 x 10\(^{-11}\)m.

Calculate the magnitude of the electrostatic force between the particles.

[e = 1.6 x 10\(^{-19}\) C, (4\(\pi\) \(\mathcal{E}_{0}\))\(^{-1}\) = 9.0 x 10\(^{9}\) mF\(^{1}\)]

(b) The diagram above shows a potential divider circuit. (see diagram above)

i. Show that V\(_{out}\) = V\(_{in}\) (\(\frac{R_{1}}{R_{1} + R_{2}})\)

ii. If \(\frac{V_{in}}{V_{out}}\) = 2.5 and R\(_{2}\) = 30\(\Omega\), calculate R\(_{1}\)

iii. Define the volt.

(d) State one application for the cathode ray tube.

Explanation

(a)(i) Coulomb's law of electrostatics

The electrostatic force between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

(ii) Calculation of the magnitude of the electrostatic force

F = \(\frac{kq_{1}q_{2}}{d^{2}}\)

F = \(\frac{9.0 \times 10^{9} \times 1.6 \times 10^{-19} \times 1.6 \times 10^{-19}}{(5.2 \times 10^{-11})^{2}}\)

= 8.52 x 10\(^{-8}\) N

(b)(I) Proof of V\(_{out}\)

Let the current through the circuit be I

V\(_{in}\) = I(R\(_{1}\) + R\(_{2}\))

I = \(\frac{V_{in}}{R_{1} + R_{2}}\)

V\(_{out}\) = IR \(_{2}\)

II. Calculation of R\(_{1}\);

V\(_{out}\) = V\(_{in}\)(\(\frac{R_{1}}{R_{1} + R_{2}}\))

\(\frac{V_{out}}{V_{in}} = \frac{R_{1}}{R_{1} + R_{2}}\)

\(\frac{1}{2.5} = \frac{R_{1}}{R_{1} + R_{30}}\)

R\(_{1}\) = 20\(\Omega\)

(ii) The Volt The unit of potential difference between two points when one joule of work is done in taking one coulomb of charge between the points,

(c) Why wood is not suitable for use as the Core of transformers Wood is a non-magnetic material and would not provide magnetic coupling between the coils for electromagnetic induction.

(d) Applications of cathode ray tube

i. For studying alternating current waveform

ii. For measuring frequency/voltage/ reactance/power factor and resistance of an electronic device

iii. Used to monitor signals/check FM/AM characteristics

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Physics (Essay) Paper 2 WASSCE (SC), 2023

Subject Home

General Comments

The quality of this year's exam paper was impressive, with appropriate items and clear, unambiguous questions that fell within the scope of the syllabus. The paper also included well-reflected operational and graphical cases, and rubrics were provided clearly. Additionally, the allotted time for the exam was sufficient.

However, there was a significant decline in performance compared to the WASSCE for School Candidates 2022 examination, with only 846,875 candidates taking the exam and achieving a raw mean score of 19 out of 60, and a standard deviation of 09.00. In contrast, the 2022 exam had 801,212 candidates and a raw mean score of 25 out of 60, with a standard deviation of 10.15.

WAEC SYLLABUS FOR PHYSICS 2021/2022 (WASSCE)

locate select, organize and present information from a variety of sources including everyday experience;
analyse and evaluate information and other data;
use information to identify patterns, report trends and draw inferences;
present reasonable explanations for natural occurrences, patterns and relationships;
make predictions from data.
Experimental and Problem-Solving Techniques

Candidates should be able to

follow instructions;
carry out experimental procedures using apparatus;

precision, accuracy and units;

identify problems, plan and carry out investigations, including the selection of

techniques, apparatus, measuring devices and materials;

state and explain the necessary precautions taken in experiments to obtain

accurate results.

SCHEME OF EXAMINATION

There will be three papers, Papers 1, 2 and 3, all of which must be taken. Papers 1 and 2 will be a composite paper to be taken at one sitting.

PAPER 1 : Will consist of fifty multiple choice questions lasting 1¼ hours and carrying 50 marks.

PAPER 2 : Will consist of two sections, Sections A and B lasting1½ hours and carrying 60 marks.

Section A – Will comprise seven short-structured questions. Candidates will be required to answer any five questions for a total of 15 marks.

Section B – Will comprise five essay questions out of which candidates will be required to answer any three for 45 marks.

DETAILED SYLLABUS

NOTE: Questions will be set in S.I. units. However, multiples or sub-multiples of the units may be used.

INTERACTION OF MATTER, SPACE & TIME

TOPICS

NOTES

1. Concepts of matter

2. Fundamental and derived quantities and

units

(a) Fundamental quantities and units

(b) Derived quantities and units

3. Position, distance and displacement.

(a) Concept of position as a location of

point-rectangular coordinates.

(b) Measurement of distance

a point –bearing

(d) Distinction between distance and

displacement.

Simple structure of matter should be discussed.

Three physics states of matter, namely solid, liquid and gas should be treated. Evidence of the particle nature of matter e.g. Brownian motion experiment, Kinetic theory of matter. Use of the theory to explain; states of matter (solid, liquid and gas), pressure in a gas, evaporation and boiling; cohesion, adhesion, capillarity. Crystalline and amorphous substances to be compared (Arrangement of atoms in crystalline structure to be described e.g. face centred, body centred.

Length, mass, time, electric current luminous intensity, thermodynamic temperature, amount of substance as examples of fundamental quantities and m, kg, s, A, cd, K and mol as their respective units.

Volume, density and speed as derived quantities and m , kgm and ms as their respective units.

Position of objects in space using the X,Y,Z axes should be mentioned.

Use of string, metre rule, vernier calipers and micrometer screw gauge. Degree of accuracy should be noted. Metre (m) as unit of distance.

Use of compass and a protractor.

Graphical location and directions by axes to be stressed.

TOPICS

NOTES

4. Mass and weight

Distinction between mass and weight

5. Time

(a) Concept of time as interval between

physical events

(b) Measurement of time

6. Fluid at rest

(i) Archimedes’ principle

(ii) Law of flotation

Use of lever balance and chemical/beam balance to measure mass and spring balance to measure weight. Mention should be made of electronic/digital balance.

Kilogram (kg) as unit of mass and newton (N) as unit of weight.

The use of heart-beat, sand-clock, ticker-timer, pendulum and stopwatch/clock.

Second(s) as unit of time.

Experimental determination for solids and liquids.

Concept and definition of pressure. Pascal’s principle, application of principle to hydraulic press and car brakes. Dependence of pressure on the depth of a point below a liquid surface. Atmospheric pressure. Simple barometer, manometer, siphon, syringe and pump. Determination of the relative density of liquids with U-tube and Hare’s apparatus.

Identification of the forces acting on a body partially or completely immersed in a fluid.

Use of the principle to determine the relative densities of solids and liquids.

Establishing the conditions for a body to float in a fluid. Applications in hydrometer, balloons, boats, ships, submarines etc.

7. Motion

Random, rectilinear, translational,

Rotational, circular, orbital, spin,

Oscillatory.

(i) Contact force

(ii) Non-contact force(field force)

Only qualitative treatment is required.

Illustration should be given for the various types of motion.

Numerical problems on co-linear motion may be set.

Force as cause of motion.

Push and pull

These are field forces namely; electric and magnetic attractions and repulsions; gravitational pull.

Frictional force between two stationary bodies (static) and between two bodies in relative motion (dynamic). Coefficients of limiting friction and their determinations. Advantages of friction e.g. in locomotion, friction belt, grindstone. Disadvantages of friction e.g reduction of efficiency, wear and tear of machines. Methods of reducing friction; e.g. use of ball bearings, rollers, streamlining and lubrication.

Definition and effects. Simple explanation as extension of friction in fluids. Fluid friction and its application in lubrication should be treated qualitatively. Terminal velocity and its determination.

Experiments with a string tied to a stone at one end and whirled around should be carried out to

(i) demonstrate motion in a

Vertical/horizontal circle.


8. Speed and velocity distance with time 9. Rectilinear acceleration Acceleration/deceleration as increase/decrease in velocity with time. Motion under gravity as a special case.	(i) show the difference between angular speed and velocity. (ii) Draw a diagram to illustrate centripetal force. Banking of roads in reducing sideways friction should be qualitatively discussed. Metre per second (ms ) as unit of speed/velocity. Ticker-timer or similar devices should be used to determine speed/velocity. Definition of velocity as Determination of instantaneous speed/velocity from distance/displacement-time graph and by calculation. Unit of acceleration as ms v t . Determination of acceleration and displacement from velocity-time graph Use of equations to solve numerical problems.

10. Scalars and vectors quantities with magnitude and no direction 11. Equilibrium of forces 12. Simple harmonic motion	Mass, distance, speed and time as examples of scalars. Weight, displacement, velocity and acceleration as examples of vectors. Use of force board to determine the resultant of two forces. Obtain the resultant of two velocities analytically and graphically. Torque/Moment of force. Simple treatment of a couple, e.g. turning of water tap, corkscrew and steering wheel.) Use of force board to determine resultant and equilibrant forces. Treatment should include resolution of forces into two perpendicular directions and composition of forces Parallelogram of forces. Triangle of forces. Should ne treated experimentally. Treatment should include stable, unstable and neutral equilibra. Use of a loaded test-tube oscillating vertically in a liquid, simple pendulum, spiral spring and bifilar suspension to demonstrate simple harmonic motion.

13. Newton’s laws of motion: Inertia of rest and inertia of motion Force, acceleration, momentum and impulse Action and reaction	Relate linear and angular speeds, linear and angular accelerations. Experimental determination of ‘g’ with the simple pendulum and helical spring. The theory of the principles should be treated but derivation of the formula for ‘g’ is not required Simple problems may be set on simple harmonic motion. Mathematical proof of simple harmonic motion in respect of spiral spring, bifilar suspension and loaded test-tube is not required. Distinction between inertia mass and weight Use of timing devices e.g. ticker-timer to determine the acceleration of a falling body and the relationship when the accelerating force is constant. Linear momentum and its conservation. Collision of elastic bodies in a straight line. Applications: recoil of a gun, jet and rocket propulsions.

ENERGY: Mechanical and Heat

14. Energy:

(a) Forms of energy

(b) World energy resources

15. Work, Energy and Power

(i) Potential energy (P.E.)

(ii) Kinetic energy (K.E)

Examples of various forms of energy should be mentioned e.g. mechanical (potential and kinetic), heat chemical, electrical, light, sound, nuclear.

Renewable (e.g. solar, wind, tides, hydro, ocean waves) and non-renewable (e.g. petroleum, coal, nuclear, biomass) sources of energy should be discussed briefly.

Statement of the principle of conservation of energy and its use in explaining energy transformations.

Unit of energy as the joule (J)

Unit of energy as the joule (J) while unit of electrical consumption is KWh.

Work done in lifting a body and by falling bodies

Derivation of P.E and K.E are expected to be known. Identification of types of energy possessed by a body under given conditions.

Verification of the principle.

Levers, pulleys, inclined plane, wedge, screw, wheel and axle, gears.

16. Heat Energy

(i) Rise in temperature

(ii) Change of phase state

(iii) Expansion

(iv) Change of resistance

Unit of power as the watt (W)

The force ratio (F.R), mechanical advantage (M.A), velocity ratio (V.R) and efficiency of each machine should be treated.

Identification of simple machines that make up a given complicated machine e.g. bicycle.

Effects of friction on Machines. Reduction of friction in machines.

Concept of temperature as degree of hotness or coldness of a body. Construction and graduation of a simple thermometer.

Properties of thermometric liquids. The following thermometer, should be treated:

Constant – volume gas thermometer, resistance thermometer, thermocouple, liquid-in-glass thermometer including maximum and minimum thermometer and clinical thermometer, pyrometer should be mentioned. Celsius and Absolute scales of temperature. Kelvin and degree Celsius as units of temperature.

Use of the Kinetic theory to explain effects of heat.

Mention should be made of the following effects:

Change of colour

Thermionic emission

Change in chemical properties

Qualitative and quantitative treatment

Consequences and application of expansions.

Expansion in buildings and bridges, bimetallic strips, thermostat, over-head cables causing sagging nd in railway lines causing buckling. Real and apparent expansion of liquids. Anomalous expansion of water.

Condition, convention and

radiation.

Charles’ law, pressure law and

general gas law

(i) Concept of heat capacity

(ii) Specific heat capacity.

(i) Concept of latent heat

(ii) Melting point and boiling

Point

(iii) Specific latent heat of fusion

and of vaporization

Per Kelvin (K ) as the unit of expansivity.

Use of the kinetic theory to explain the modes of heat transfer. Simple experimental illustrations. Treatment should include the explanation of land and sea breezes, ventilation and application s in cooling devices. The vacuum flask.

The laws should be verified using simple apparatus. Use of the kinetic theory to explain the laws. Simple problems may be set. Mention should be made of the operation of safety air bags in vehicles.

Use of the method of mixtures and the electrical method to determine the specific heat capacities of solids and liquids. Land and sea breezes related to the specific heat capacity of water and land, Jkg

K as unit of specific heat capacity.

Explanation and types of latent heat.

Determination of the melting point of solid and the boiling point of a liquid. Effects of impurities and pressure on melting and boiling points. Application in pressure cooker.

Use of the method of mixtures and the electrical method to determine the specific latent heats of fusion of ice and of vaporization of steam. Applications in refrigerators and air conditioners.

Jkg as unit of specific latent heat

dew point

Effect of temperature, humidity, surface area and draught on evaporation to be discussed.

Explanation of vapour and vapour pressure.

Demonstration of vapour pressure using simple experiments. Saturated vapour pressure and its relation to boiling.

Measurement of dew point and relative humidity. Estimation of humidity of the atmosphere using wet and dry-bulb hygrometer.

Formation of dew, fog and rain.

17. Production and propagation of waves

Energy transmitted with definite speed, frequency and wavelength.

18. Types of waves

19. Properties of waves:

Reflection, refraction, diffraction,

Interference, superposition of

progressive waves producing standing

stationary waves

20. Light waves

Use of ropes and springs (slinky) to generate mechanical waves

Use of ripple tank to show water waves and to demonstrate energy propagation by waves.

Hertz(Hz) as unit of frequency.

Description and graphical representation.

Amplitude, wave length, frequency and period.

Sound and light as wave phenomena.

V= f? and T = simple problems may be set.

Examples to be given

Equation y = A sin (wt ) to be explained

Questions on phase difference will not be set.

Ripple tank should be extensively used to demonstrate these properties with plane and circular waves. Explanation of the properties.

Natural and artificial. Luminous and non-luminous bodies.

Converging and diverging lenses

Formation of shadows and eclipse. Pinhole camera. Simple numerical problems may be set.

Regular and irregular reflections. Verification of laws of reflection. Formation of images.

Inclined plane mirrors. Rotation of mirrors.

Applications in periscope, sextant and kaleidoscope.

Laws of reflection. Formation of images.

Characteristics of images. Use of mirror formulae:

= and magnification m = to solve numerical problems.

(Derivation of formulae is not required)

Experimental determination of the focal length of concave mirror.

Applications in searchlight, parabolic and driving mirrors, car headlamps etc.

Laws of refraction. Formation of images, real and Apparent depths. Critical angle and total internal reflection. Lateral displacement and angle of deviation. Use of minimum deviation equation:

)

= 2

(Derivation of the formula is not required)

Applications: periscope, prism binoculars, optical fibres. The mirage.

Formation of images. Use of lens formulae

= and magnification tp solve numerical problems.

21. Electromagnetic waves:

Types of radiation in electromagnetic

Spectrum

22. Sound Waves

(derivation of the formulae not required).

Experimental determination of the focal length of converging lens. Power of lens in dioptres (D)

Simple camera, the human eye, film projector, simple and compound microscopes, terrestrial and astronomical telescopes. Angular magnification. Prism binoculars. The structure and function of the camera and the human eye should be compared. Defects of the human eye and their corrections.

Production of pure spectrum of a white light.

Recombination of the components of the spectrum. Colours of objects. Mixing coloured lights.

Elementary description and uses of various types of radiation: Radio, infrared, visible light, ultra-violet, X-rays, gamma rays.

Experiment to show that a material medium is required.

To be compared. Dependence of velocity of sound on temperature and pressure to be considered.

Use of echoes in mineral exploration, and determination of ocean depth. Thunder and multiple reflections in a large room as examples of reverberation.

Pitch, loudness and quality.

(i) Resonance

(ii) Harmonies and overtones

and closed pipes

The use of sonometer to demonstrate the dependence of frequency (f) on length (1), tension (T) and mass per unit length (liner density) (m) of string should be treated. Use of the formula:

In solving simple numerical problems.

Applications in stringed instruments: e.g. guitar, piano, harp and violin.

Use of resonance boxes and sonometer to illustrate forced vibration.

Use of overtones to explain the quality of a musical note. Applications in percussion instruments: e.g drum, bell, cymbals, xylophone.

Measurement of velocity of sound in air or frequency of tuning fork using the resonance tube. Use of the relationship v = ? in solving numerical problems. End correction is expected to be mentioned. Applications in wind instruments e.g. organ, flute, trumpet, horn, clarinet and saxophone.

23. Description property of fields.

Gravitational, electric and

Magnetic

24. Gravitational field

Newton’s law of gravitation

25. Electric Field

Use of compass needle and iron filings to show magnetic field lines.

G as gravitational field intensity should be mentioned, g = F/m.

Masses include protons, electrons and planets

Universal gravitational constant (G)

Relationship between ‘G’ and ‘g’

Calculation of the escape velocity of a rocket from the earth’s gravitational field.

Production by friction, induction and contact.

A simple electroscope should be used to detect and compare charges on differently-shaped bodies.

Application in light conductors.

Determination, properties and field patterns of charges.

Definition, arrangement and application

Permittivity of a medium.

Calculation of electric field intensity and electric potential of simple systems.

Factors affecting the capacitance of a parallel-plate capacitor. The farad (F) as unit of capacitance. Capacitors in series and in parallel.

Energy stored in a charged capacitor. Uses of capacitors: e.g. in radio and Television.

(Derivation of formulae for capacitance is not required)

Simple cell and its defects. Daniel cell, Lechanché cell (wet and dry).

Lead-acid accumulator. Alkalne-cadium cell.

E.m.f. of a cell, the volt (V) as unit of e.m.f.

Ohm’s law and resistance. Verification of Ohm’s law. The volt (V), ampere (A) and ohm (Ω) as units of p.d., current and reisistance respectively.

Series and parallel arrangement of cells and resistors. Lost volt and internal resistance of batteries.

Ohmic and non ohmic conductors. Examples of ohmic conductors are metals, non-ohmic conductors are semiconductors.

Quantitative definition of electrical energy and power. Heating effect of an electric current and its application. Conversion of electrical energy to mechanical energy e.g. electric motors.

Conversion of solar energy to electrical and heat energies: e.g. solar cells, solar heaters.

26. Magnetic field

(i) a current-carrying conductor

placed in a magnetic field;

(ii) between two parallel

current-carrying conductors

27. Electromagnetic field

Use in conversion of a galvanometer into an ammeter and a voltmeter.

Factors affecting the electrical resistance of a material should be treated. Simple problems may be set.

Principle of operation and use of ammeter, voltmeter, potentiometer. The wheatstone bridge and metre bridge.

Practical examples such as soft iron, steel and alloys.

Temporary and permanent magnets. Comparison of iron and steel as magnetic materials.

Magnetic flux and magnetic flux density.

Magnetic field around a permanent magnet, a current-carrying conductor and a solenoid.

Plotting of line of force to locate neutral points

Units of magnetic flux and magnetic flux density as weber (Wb) and tesla (T) respectively.

Qualitative treatment only. Applications: electric motor and moving-coil galvanometer.

Examples in electric bell, telephone earpiece etc.

Mariner’s compass. Angles of dip and declination.

Solving simple problems involving the motion of a charged particle in a magnetic field, using F=qvB sin

Identifying the directions of current, magnetic field and force in an electromagnetic field (Fleming’s left-hand rule).

26. Magnetic field

(i) a current-carrying conductor

placed in a magnetic field;

(ii) between two parallel

current-carrying conductors

27. Electromagnetic field

Use in conversion of a galvanometer into an ammeter and a voltmeter.

Factors affecting the electrical resistance of a material should be treated. Simple problems may be set.

Principle of operation and use of ammeter, voltmeter, potentiometer. The wheatstone bridge and metre bridge.

Practical examples such as soft iron, steel and alloys.

Temporary and permanent magnets. Comparison of iron and steel as magnetic materials.

Magnetic flux and magnetic flux density.

Magnetic field around a permanent magnet, a current-carrying conductor and a solenoid.

Plotting of line of force to locate neutral points

Units of magnetic flux and magnetic flux density as weber (Wb) and tesla (T) respectively.

Qualitative treatment only. Applications: electric motor and moving-coil galvanometer.

Examples in electric bell, telephone earpiece etc.

Mariner’s compass. Angles of dip and declination.

Solving simple problems involving the motion of a charged particle in a magnetic field, using F=qvB

sin

Identifying the directions of current, magnetic field and force in an electromagnetic field (Fleming’s left-hand rule).

TOPIC

NOTES

Faraday’s law ,Lenz’s law and motor-generator effect

28. Simple a.c. circuits

and current in an a.c. circult.

Applications: Generator (d.c.and a.c.) induction coil and transformer. The principles underlying the production of direct and alternating currents should be treated. Equation E = E sinwt should be explained.

Qualitative explanation of self and mutual inductance. The unit of inductance is henry (H).

(E = LI )

Application in radio,T.V., transformer.

(Derivation of formula is not required).

A method of reducing eddy current losses should be treated. Applications in induction furnace, speedometer, etc.

Reduction of power losses in high-tension transmission lines. Household wiring system should be discussed.

Graphs of equation I – Io sin wt and\E = E sinwt should be treated.

Phase relationship between voltage and current in the circuit elements; resistor, inductor and capacitor.

resistor, inductor and capacitor

(d) Reactance and impedance

(e) Vector diagrams

Simple calculations involving a.c. circuit.

(Derivation of formulae is not required.)

X and X should be treated. Simple numerical problems may be set.

Applications in tuning of radio and T.V. should be discussed.

ATOMIC AND NUCELAR PHYSICS

29. Structure of the atom

30. Structure of the nucleus

Thomson, Rutherford, Bohr and electron-cloud (wave-mechanical) models should be discussed qualitatively. Limitations of each model. Quantization of angular momentum (Bohr)

Energy levels in the atom. Colour and light frequency. Treatment should include the following: Frank-Hertz experiment, Line spectra from hot bodies, absorption spectra and spectra of discharge lamps.

Explanation of photoelectric effect. Dual nature of light. Work function and threshold frequency. Einstein’s photoelectric equation and its explanation. Application in T.V., camera, etc.

Simple problems may be set.

Explanation and applications.

Production of X-rays and structure of X-ray tube.

Types, characteristics, properties, uses and hazards of X-rays. Safety precautions

Protons and neutrons. Nucleon number (A), proton number (Z), neutron number (N) and the equation: A-Z + N to be treated. Nuclides and their notation. Isotopes.

Natural and artificial

Fusion and Fission

31. Wave-particle paradox

Radioactive elements, radioactive emissions

(,βand their properties and uses. Detection of radiations by G – M counter, photographic plates, etc. should be mentioned. Radioactive decay, half-life and decay constant.

Transformation of elements. Applications of radioactivity in agriculture, medicine, industry, archaeology, etc.

Distinction between fusion and fission. Binding energy, mass defect and energy equation:

E= mc

Nuclear reactors. Atomic bomb. Radiation hazards and safety precautions. Peaceful uses of nuclear reactions.

Simple illustration of the dual nature of light.

HARMONISED TOPICS FOR SHORT STRUCTURED QUESTIONS FOR ALL MEMBER COUNTRIES


1. Derived quantities and dimensional Analysis 2. Projectile motion concept of projectiles as an object thrown/release into space 3. Satellites and rockets 4. Elastic Properties of solid: Hooke’s law, Young’s modules and work done in springs and string Thermal conductivity: Solar energy collector and Black body Radiation. 5. Fibre Optics	Fundamental quantities and units e.g. Length, mass, time, electric current, luminous intensity e.t.c., m, kg,s, A, cd, e.t.c. as their respective units Derived quantities and units. e.g. volume, density, speed e.t.c. m , kgm , ms e.t.c. as their respective unit Explanation of dimensions in terms of fundamental and derived quantities. Uses of dimensions – to verity dimensional correctness of a given equation – to derive the relationship between quantities – to obtain derived units. Applications of projectiles in warfare, sports etc. Simple problems involving range, maximum height and time of flight may be set. Meaning of a satellite comparison of natural and artificial satellites parking orbits, Geostationary satellites and period of revolution and speed of a satellite. Uses of satellites and rockets Behaviour of elastic materials under stress – features of load – extension graph Simple calculations on Hook’s law and Young’s modulus. Solar energy; solar panel for heat energy supply. Explanation of a blackbody. Variation of intensity of black body radiation with wavelength at different temperatures. Explanation of concept of fibre optics. Principle of transmission of light through an optical fibre Applications of fibre optics e.g. local area Networks (LAN) medicine, rensing devices, carrying laser beams e.t.c.

6. Introduction to LASER 7. Magnetic materials 8. Electrical Conduction through materials [Electronic] 9. Structure of matter 10. Wave – particle paradox	Meaning of LASER Types of LASERS (Solid state, gas, liquid and semi-conductor LASERS Application of LASERS (in Scientific research, communication, medicine military technology, Holograms e.t.c. Dangers involved in using LASERS. Uses of magnets and ferromagnetic materials. Distinction between conductors, semiconductors and insulators in term of band theory. Semi conductor materials (silicon and germanium) Meaning of intrinsic semiconductors. (Example of materials silicon and germanium). Charge carriers Doping production of p-type and n-type extrinsic semi conductors. Junction diode – forward and reverse biasing, voltage characteristics. Uses of diodes Half and full wave rectification. Use of kinetic theory to explain diffusion. Electron diffraction Duality of matter Simple illustrations of dual nature of light.

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WASSCE objective, essay, and practical past questions and answer (PHYSICS 2022)

4. The length of a simple pendulum is increased by a factor of Four. By what factor is its period increased?

7. The correct relationship between the displacement, s of a particle initially at rest in a linear motion and the time, t is?

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HISTORY A LEVEL(FORM SIX) NOTES - THE EMERGENCE OF U.S.A AS A NEW CAPITALIST SUPER POWER

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