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NCERT Solutions For Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter

July 30, 2018 by Sastry CBSE

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NCERT solutions for Physics Class 12 chapter 11 - Dual Nature of Radiation and Matter [Latest edition]

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Solutions for chapter 11: dual nature of radiation and matter.

Below listed, you can find solutions for Chapter 11 of CBSE NCERT for Physics Class 12.

NCERT solutions for Physics Class 12 Chapter 11 Dual Nature of Radiation and Matter Exercise [Pages 407 - 411]

Find the (a) maximum frequency, and (b) minimum wavelength of X-rays produced by 30 kV electrons.

The work function of caesium metal is 2.14 eV. When light of frequency 6 × 10 14  Hz is incident on the metal surface, photoemission of electrons occurs. What is the

(a) maximum kinetic energy of the emitted electrons,

(b)  Stopping potential, and

(c)  maximum speed of the emitted photoelectrons?

The photoelectric cut-off voltage in a certain experiment is 1.5 V. What is the maximum kinetic energy of photoelectrons emitted?

Monochromatic light of wavelength 632.8 nm is produced by a helium-neon laser. The power emitted is 9.42 mW.

(a)  Find the energy and momentum of each photon in the light beam,

(b) How many photons per second, on average, arrive at a target irradiated by this beam? (Assume the beam to have uniform cross-section which is less than the target area), and

(c)  How fast does a hydrogen atom have to travel in order to have the same momentum as that of the photon?

The energy flux of sunlight reaching the surface of the earth is 1.388 × 10 3  W/m 2 . How many photons (nearly) per square metre are incident on the Earth per second? Assume that the photons in the sunlight have an average wavelength of 550 nm.

In an experiment on the photoelectric effect, the slope of the cut-off voltage versus the frequency of incident light is found to be 4.12 × 10 −15 Vs. Calculate the value of Planck’s constant.

A 100 W sodium lamp radiates energy uniformly in all directions. The lamp is located at the centre of a large sphere that absorbs all the sodium light which is incident on it. The wavelength of the sodium light is 589 nm.

(a) What is the energy per photon associated with the sodium light?

(b) At what rate are the photons delivered to the sphere?

The threshold frequency for a certain metal is 3.3 × 10 14  Hz. If light of frequency 8.2 × 10 14 Hz is incident on the metal, predict the cutoff voltage for the photoelectric emission.

The work function for a certain metal is 4.2 eV. Will this metal give photoelectric emission for incident radiation of wavelength 330 nm?

Light of frequency 7.21 × 10 14 Hz is incident on a metal surface. Electrons with a maximum speed of 6.0 × 10 5 m/s are ejected from the surface. What is the threshold frequency for photoemission of electrons?

Light of wavelength 488 nm is produced by an argon laser which is used in the photoelectric effect. When light from this spectral line is incident on the emitter, the stopping (cut-off) potential of photoelectrons is 0.38 V. Find the work function of the material from which the emitter is made.

Calculate the momentum of the electrons accelerated through a potential difference of 56 V.

Calculate the de Broglie wavelength of the electrons accelerated through a potential difference of 56 V.

What is the

(a)  momentum,

(b)  speed, and

(c)  de Broglie wavelength of an electron with kinetic energy of 120 eV.

The wavelength of light from the spectral emission line of sodium is 589 nm. Find the kinetic energy at which

(a) an electron, and

(b) a neutron, would have the same de Broglie wavelength.

What is the de Broglie wavelength of a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s?

What is the de Broglie wavelength of a ball of mass 0.060 kg moving at a speed of 1.0 m/s?

What is the de Broglie wavelength of a dust particle of mass 1.0 × 10 −9  kg drifting with a speed of 2.2 m/s?

An electron and a photon each have a wavelength of 1.00 nm. Find

(a) their momenta,

(b) the energy of the photon, and

(c) the kinetic energy of electron.

For what kinetic energy of a neutron will the associated de Broglie wavelength be 1.40 × 10 −10 m?

Find the de Broglie wavelength of a neutron, in thermal equilibrium with matter, having an average kinetic energy of `(3/2)` kT at 300 K.

Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).

What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-mean square speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)

Additional questions

(a) Estimate the speed with which electrons emitted from a heated emitter of an evacuated tube impinge on the collector maintained at a potential difference of 500 V with respect to the emitter. Ignore the small initial speeds of the electrons. The specific charge of the electron, i.e., its e/m is given to be 1.76 × 10 11  C kg −1 .

(b) Use the same formula you employ in (a) to obtain electron speed for an collector potential of 10 MV. Do you see what is wrong? In what way is the formula to be modified?

(a) A monoenergetic electron beam with electron speed of 5.20 × 10 6  m s −1  is subject to a magnetic field of 1.30 × 10 −4  T normal to the beam velocity. What is the a radius of the circle traced by the beam, given e/m for electron equals 1.76 × 10 11  C kg −1 ?

(b) Is the formula you employ in (a) valid for calculating the radius of the path of a 20 MeV electron beam? If not, in what way is it modified?

An electron gun with its collector at a potential of 100 V fires out electrons in a spherical bulb containing hydrogen gas at low pressure (∼10 −2  mm of Hg). A magnetic field of 2.83 × 10 −4  T curves the path of the electrons in a circular orbit of radius 12.0 cm. (The path can be viewed because the gas ions in the path focus the beam by attracting electrons, and emitting light by electron capture; this method is known as the ‘fine beam tube’ method. Determine e/m from the data.

(a) An X-ray tube produces a continuous spectrum of radiation with its short wavelength end at 0.45 Å. What is the maximum energy of a photon in the radiation?

(b) From your answer to (a), guess what order of accelerating voltage (for electrons) is required in such a tube?

In an accelerator experiment on high-energy collisions of electrons with positrons, a certain event is interpreted as annihilation of an electron-positron pair of total energy 10.2 BeV into two γ-rays of equal energy. What is the wavelength associated with each γ-ray? (1BeV = 10 9  eV)

Estimating the following two numbers should be interesting. The first number will tell you why radio engineers do not need to worry much about photons! The second number tells you why our eye can never ‘count photons’, even in the barely detectable light.

The number of photons emitted per second by a Medium wave transmitter of 10 kW power, emitting radio waves of wavelength 500 m.

Estimating the following two numbers should be interesting. The first number will tell you why radio engineers do not need to worry much about photons! The second number tells you why our eye can never ‘count photons’, even in barely detectable light.

The number of photons entering the pupil of our eye per second corresponding to the minimum intensity of white light that we humans can perceive (∼10 −10  W m −2 ). Take the area of the pupil to be about 0.4 cm 2 , and the average frequency of white light to be about 6 × 10 14  Hz.

Ultraviolet light of wavelength 2271 Å from a 100 W mercury source irradiates a photo-cell made of molybdenum metal. If the stopping potential is −1.3 V, estimate the work function of the metal. How would the photo-cell respond to a high intensity (∼10 5  W m −2 ) red light of wavelength 6328 Å produced by a He-Ne laser?

Monochromatic radiation of wavelength 640.2 nm (1 nm = 10 −9  m) from a neon lamp irradiates photosensitive material made of caesium on tungsten. The stopping voltage is measured to be 0.54 V. The source is replaced by an iron source and its 427.2 nm line irradiates the same photo-cell. Predict the new stopping voltage.

A mercury lamp is a convenient source for studying frequency dependence of photoelectric emission, since it gives a number of spectral lines ranging from the UV to the red end of the visible spectrum. In our experiment with rubidium photo-cell, the following lines from a mercury source were used:

λ 1  = 3650 Å, λ 2 = 4047 Å, λ 3 = 4358 Å, λ 4 = 5461 Å, λ 5 = 6907 Å,

The stopping voltages, respectively, were measured to be:

V 01  = 1.28 V, V 02  = 0.95 V, V 03  = 0.74 V, V 04  = 0.16 V, V 05  = 0 V

Determine the value of Planck’s constant h, the threshold frequency and work function for the material.

[Note: You will notice that to get h from the data, you will need to know e (which you can take to be 1.6 × 10 −19  C). Experiments of this kind on Na, Li, K, etc. were performed by Millikan, who, using his own value of e (from the oil-drop experiment) confirmed Einstein’s photoelectric equation and at the same time gave an independent estimate of the value of h.]

The work function for the following metals is given: 

Na: 2.75 eV; K: 2.30 eV; Mo: 4.17 eV; Ni: 5.15 eV

Which of these metals will not give photoelectric emission for a radiation of wavelength 3300 Å from a He-Cd laser placed 1 m away from the photocell? What happens if the laser is brought nearer and placed 50 cm away?

Light of intensity 10 −5  W m −2  falls on a sodium photo-cell of surface area 2 cm 2 . Assuming that the top 5 layers of sodium absorb the incident energy, estimate time required for photoelectric emission in the wave-picture of radiation. The work function for the metal is given to be about 2 eV. What is the implication of your answer?

Crystal diffraction experiments can be performed using X-rays, or electrons accelerated through appropriate voltage. Which probe has greater energy? (For quantitative comparison, take the wavelength of the probe equal to 1 Å, which is of the order of inter-atomic spacing in the lattice) (m e = 9.11 × 10 −31 kg).

Obtain the de Broglie wavelength of a neutron of kinetic energy 150 eV. As you have an electron beam of this energy is suitable for crystal diffraction experiments. Would a neutron beam of the same energy be equally suitable? Explain. (m n = 1.675 × 10 −27  kg)

Obtain the de Broglie wavelength associated with thermal neutrons at room temperature (27°C). Hence explain why a fast neutron beam needs to be thermalised with the environment before it can be used for neutron diffraction experiments.

An electron microscope uses electrons accelerated by a voltage of 50 kV. Determine the de-Broglie wavelength associated with the electrons. Taking other factors, such as numerical aperture etc. to be same, how does the resolving power of an electron microscope compare with that of an optical microscope which used yellow light?

The wavelength of a probe is roughly a measure of the size of a structure that it can probe in some detail. The quark structure of protons and neutrons appears at the minute length-scale of 10 −15  m or less. This structure was first probed in early 1970’s using high energy electron beams produced by a linear accelerator at Stanford, USA. Guess what might have been the order of energy of these electron beams. (Rest mass energy of electron = 0.511 MeV.)

Find the typical de Broglie wavelength associated with a He atom in helium gas at room temperature (27°C) and 1 atm pressure, and compare it with the mean separation between two atoms under these conditions.

Compute the typical de Broglie wavelength of an electron in a metal at 27°C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10 −10  m.

Answer the following questions

Quarks inside protons and neutrons are thought to carry fractional charges [(+2/3)e; (–1/3)e]. Why do they not show up in Millikan’s oil-drop experiment?

What is so special about the combination e/m? Why do we not simply talk of e and m separately?

Why should gases be insulators at ordinary pressures and start conducting at very low pressures?

Every metal has a definite work function. Why do all photoelectrons not come out with the same energy if incident radiation is monochromatic? Why is there an energy distribution of photoelectrons?

The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations:

E = hv, p = `"h"/lambda`

But while the value of λ is physically significant, the value of v (and therefore, the value of the phase speed vλ) has no physical significance. Why?

NCERT solutions for Physics Class 12 chapter 11 - Dual Nature of Radiation and Matter

Shaalaa.com has the CBSE Mathematics Physics Class 12 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Physics Class 12 CBSE 11 (Dual Nature of Radiation and Matter) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Physics Class 12 chapter 11 Dual Nature of Radiation and Matter are Einstein’s Photoelectric Equation: Energy Quantum of Radiation, Particle Nature of Light: The Photon, Photoelectric Effect and Wave Theory of Light, Experimental Study of Photoelectric Effect, Einstein’s Equation - Particle Nature of Light, Electron Emission, Davisson and Germer Experiment, de-Broglie Relation, Wave Nature of Matter, Photoelectric Effect - Hallwachs’ and Lenard’s Observations, Photoelectric Effect - Hertz’s Observations, Dual Nature of Radiation.

Using NCERT Physics Class 12 solutions Dual Nature of Radiation and Matter exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Physics Class 12 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 11, Dual Nature of Radiation and Matter Physics Class 12 additional questions for Mathematics Physics Class 12 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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NCERT Solutions for Class 12 Physics Chapter 11 Free PDF Download

Ncert solutions for class 12 physics chapter 11 dual nature of radiation and matter.

Physics is a subject that studies the universe and how it works. In addition, it derives formulas on the basis of their functioning. But class 12 physics is quite hard to understand for students. That’s why we prepared NCERT Solutions for Class 12 Physics Chapter 11 which will direct students through the chapter in an easy manner. Also, our video tutorial explains each topic in simple language with example.

These solutions are pretty easy to understand as our expert teacher has designed them to convey a proper and complete meaning of each topic and formulas of the chapter.

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CBSE Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter NCERT Solutions

To introduce, dual nature of radiation refers to the wave nature and particle nature of the electrons. While dual nature of matter means that the matter shows duel properties of particle and wave nature. Moreover, in the NCERT Solutions for Class 12 Physics Chapter 11 consist of all the study material or guides that students require to score decent marks in exams.

Subtopics covered under NCERT Solutions for Class 12 Physics Chapter 11

11.1 introduction.

This topic explains what different physicist says about the dual nature of different elements. Also, the topic describes what is the dual nature of radiation and matter.

11.2 Electron Emission

This topic defines how an electron escapes from a metal surface. Also, the topic explains the work function of some elements in the form of a chart.

11.3 Photoelectric Effect

11.3.1 Hertz’s Observation- This topic defines when and during which experiment Heinrich Hertz discovers the photoelectric effect.

11.3.2 Hallwach’s and Lenard’s Observation- This topic defines what they discovered about photoelectric effect during their experiment.

11.4 Experimental Study of Photoelectric Effect

This topic outlines the experiment that reveals the various properties and effects of the photoelectric effect.

11.4.1 Effect on the intensity of light on the photocurrent- This topic describes the effect of photoelectric current effect in the presence of light.

11.4.2 Effect of potential on photoelectric current- This topic overviews the positive and negative effects on photoelectric current.

11.4.3 Effect of Frequency of Incident Radiation on stopping Potential- This topic defines how incident radiation affects the potential of photoelectric current. Moreover, the topic contains a graph, which shows the potential of two elements. And, on the basis of this certain observations are made.

11.5 photoelectric Effect and Wave Theory of Light

This topic explains the photoelectric effect in the presence of wave theory of light (the light is an electromagnetic ray that extends over a region). Also, how it affects the functioning of the photoelectric effect.

11.6 Einstein’s Photoelectric Equation: Energy Quantum of Radiation

This topic defines how Einstein experimented on photoelectric current and after some observation derives a formula out of it.

11.7 Particle Nature of Light: The Photon

This topic defines what is a photon, how it works are its properties.

11.8 Wave Nature of Matter

This topic describes the wave nature of objects in dual wave-particle. Besides, the topic has some experiments, and formula related to it.

11.9 Davisson and Germer Experiment

This topic outlines the experiment that these two conducted to find the wave nature of the electron. Also, what they observe there during their experiment.

Summary- It sums up all the topics in pointers. Also, it mentions each formula of the chapter.

You can download NCERT Solutions for Class 12 Physics Chapter 11 PDF by clicking on the button below.

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NCERT Solutions Class 12 Physics Chapter 11 The Dual Nature of Radiation and Matter

NCERT Solutions Class 12 Physics Chapter 11 The Dual Nature of Radiation and Matter: In Chapter 11 of Class 12 Physics, students learn about the Dual Nature of Radiation and Matter. Students can understand concepts better by solving in-text exercises with the help of NCERT Solutions 12th Physics chapter 11.

The NCERT Solutions provided in this article have been prepared by subject experts at Embibe and are available for to download. Students can follow the solutions to understand the correct approach to answer the in-text questions. Embibe also offers over 600 questions from over 55 books for to help students prepare for their exams. Scroll down to learn more on chapter 11 Physics Class 12 NCERT Solutions.

Explore Study Material for CBSE Class 12 Physics Chapter 1 Here

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NCERT Solutions Class 12 Physics Chapter 11: Important Topics

In this chapter, students learn about the Dual Nature of Radiation and Matter and the work function of a metal. The minimum energy required by an electron to come out of a metal surface is called the work function of the metal. Energy (greater than the work function (φο) required for emission of electrons from the metal surface can be supplied by suitably heating or applying a strong electric field or irradiating it with light of suitable frequency. 

Students can visit Embibe to get more important details on NCERT 12th Physics Chapter 11 for. Before delving further into the details of this article, students can refer the table below to check all the important topics covered in this chapter:

NCERT Solutions Class 12 Physics Chapter 11: Points to Remember

We have provided some important points that are covered in NCERT Class 12 Physics Chapter 11 to help students in their exam preparations. Refer to the list below:

• The minimum energy required by an electron to escape from the metal surface is called the work function of the metal.
• One electron volt is the energy gained by an electron when it has been accelerated by a potential difference of 1 Volt, so that 1eV = 1.602 x 10 −19 J.
• There are three ways to provide energy to an electron so that it escapes the metal surface: Thermionic emission, Field emission, Photoelectric emission.
• Some photosensitive substances emit electrons called photoelectrons when they are illuminated by light by a phenomenon called the photoelectric effect. A stream of photoelectrons is called photocurrent.
• The minimum frequency of the incident photon for photoelectric effect to happen is called threshold frequency, and the energy of the photon at this frequency is equal to the work function of the metal.
• According to Heisenberg’s uncertainty principle, it is not possible to measure both the position and momentum of a particle at the same time exactly. The uncertainty in position (Δx) and in momentum (ΔP) are related as ΔxΔP = h/2π.
• Discovery of diffraction of electrons by C.J. Davisson and L.H. Germer lead to verification of the wave nature of electrons. In this experiment, electrons are bombarded on a metal which scatters them. The scattered electrons are collected by a collector and it is observed that the intensity of the scattered electrons is dependent on the subtle variations in the position of the collector, proving the phenomenon of diffraction in electrons.

Students can get more important points for NCERT Class 12 Physics Chapter 11 The Dual Nature of Radiation and Matter on Embibe for!

NCERT Solutions for Class 12 Physics: All Chapters

The NCERT Solutions for Class 12 Physics for all chapters are given below for students’ reference:

• 1st Chapter- Electric Fields and Charge
• 2nd Chapter- Electrostatic Potential and Capacitance
• 3rd Chapter- Current Electricity
• 4th Chapter- Moving Charges and Magnetism
• 5th Chapter- Magnetism and Matter
• 6th Chapter- Electromagnetic Induction
• 7th Chapter- Alternating Current
• 8th Chapter- Electromagnetic Waves
• 9th Chapter- Ray Optics and Optical Instruments
• 10th Chapter- Wave Optics
• 11th Chapter- The Dual Nature of Radiation and Matter
• 12th Chapter- Atoms
• 13th Chapter- Nuclei
• 14th Chapter- Semiconductor Electronics
• 15th Chapter- Communication System

Related Information of CBSE Class 12

FAQs on NCERT Solutions For Class 12 Physics Chapter 11

Given below are some of the frequently asked questions on NCERT solutions for Class 12 Physics chapter 11:

Ans: All NCERT solutions provided by Embibe, including NCERT Class 11 Physics Chapter 12 solutions, are available in PDF format.

Ans : In 1905, Albert Einstein (1879-1955) developed a theory stating that light has a dual nature. Light acts not only as a wave but also as a particle. Each particle of light has a quantum of energy associated with it and is called a photon.

Ans: You can download Class 12 Physics Chapter 12 Solutions/Dual Nature of Radiation and Matter NCERT solutions from Embibe for.

Ans: Students should refer to the NCERT solutions for Class 12 Physics after going through their textbooks properly.

Ans: There are a total of 8 topics with sub-units in NCERT Solutions for Class 12 Physics Chapter 11.

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Dual Nature of Radiation and Matter Class 12 Notes

Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter Notes – PDF Download

Chapter 11 dual nature of radiation and matter.

In Chapter 11 of class 12 Physics, students learn about the dual nature of radiation and matter. Students can use NCERT notes 12th Physics Chapter 11 to better understand concepts by doing text exercises. Students can follow the solutions to understand the correct approach to answering the questions in the text. Scroll down to learn more about the Chapter 11 Physics Class 12 NCERT notes.

CBSE CLASS 12th PHYSICS 11 NOTES

Points to remember.

We have provided some important points that are covered in NCERT Class 12 Physics Chapter 11 to help students in their exam preparations. Refer to the list below:

The minimum energy required by an electron to escape from the metal surface is called the work function of the metal.

One electron volt is the energy gained by an electron when it has been accelerated by a potential difference of 1 Volt so that 1eV = 1.602 x 10−19 J.

There are three ways to provide energy to an electron so that it escapes the metal surface: Thermionic emission, Field emission, Photoelectric emission.

Some photosensitive substances emit electrons called photoelectrons when they are illuminated by light by a phenomenon called the photoelectric effect. A stream of photoelectrons is called a photocurrent.

The minimum frequency of the incident photon for the photoelectric effect to happen is called threshold frequency, and the energy of the photon at this frequency is equal to the work function of the metal.

According to Heisenberg’s uncertainty principle, it is not possible to measure both the position and momentum of a particle at the same time exactly. The uncertainty in position (Δx) and in momentum (ΔP) are related as ΔxΔP = h/2π.

Discovery of diffraction of electrons by C.J. Davisson and L.H. Germer lead to verification of the wave nature of electrons. In this experiment, electrons are bombarded on a metal that scatters them. The scattered electrons are collected by a collector and it is observed that the intensity of the scattered electrons is dependent on the subtle variations in the position of the collector, proving the phenomenon of diffraction in electrons.

Topics and Sub- topics

In this chapter, students learn about radiation, the duality of matter, and the work function of metals. The minimum energy required for an electron to be ejected from a metal surface is called the metal's work function. The energy (greater than the work function (φο)) required to eject electrons from the metal surface can be provided by moderate heating, application of a strong electric field, or irradiation with light of the appropriate frequency.

Before going into the details of this article, students can refer to the table below to identify all the important topics covered in this chapter.

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Important Links:

• CBSE Class 12 Sample Paper Physics 2019
• Previous Year Question Paper Class 12 Physics 2018

Few Important Questions

What is ‘Photoelectric effect?

The phenomenon of emission of electrons from the surface of the metal when the light of suitable frequency falls on it is called the photoelectric effect.

What is a ‘Magnetic field’?

The portion of space near a magnetic body or a current-carrying body in which the magnetic forces due to the body or current can be detected is called a ‘Magnetic field’.

What is ‘De Broglie's equation?

λ = h/mv, where λ is the wavelength, h is Planck’s constant, and m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.

Practice Questions

3 V is The photoelectric cut-off voltage in a certain experiment. Calculate the maximum kinetic energy of photoelectrons emitted.

maximum frequency, and

50 kV electrons produce a minimum wavelength of X-rays.

Monochromatic light of wavelength 700 nm is produced by a helium-neon laser. The power emitted is 10 mW.

The momentum and energy of each photon in the light beam are?

Photons arrive at a target irradiated by this Beam. Find out the number of those photons (Assume the beam to have a uniform cross-section that is less than the target area), and

In order to have the same momentum as that of the photon, how fast does a hydrogen atom have to travel?

Related Links

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• Chapter 1 – Electric Charges and Fields Notes
• Chapter 2 – Electrostatic Potential and Capacitance Notes
• Chapter 3 – Current Electricity Notes
• Chapter 4 – Moving Charges and Magnetism Notes
• Chapter 5 – Magnetism and Matter Notes
• Chapter 6 – Electromagnetic Induction Notes
• Chapter 7 – Alternating Current Notes
• Chapter 8 – Electromagnetic Waves Notes
• Chapter 9 – Ray Optics and Optical Instruments Notes
• Chapter 10 – Wave Optics Notes
• Chapter 11 – Dual Nature of Radiation And Matter Notes
• Chapter 12 – Atoms Notes
• Chapter 13 – Nuclei Notes
• Chapter 14 – Semiconductor Electronics: Materials Notes
• Chapter 15 – Communication Systems Notes

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NCERT Solutions For Class 12 Physics Chapter 11

Chapter 11 – dual nature of radiation and matter.

NCERT Textbooks, e-Content, and Study Materials are Copyright of The National Council of Educational Research and Training . CBSE/ICSE/NIOS & Other Education Board's e-Contents are wholly owned by respective States Governments or the Ministry of Education, India . We do not claim any type of ownership of these materials nor commercially promote them. Please contact us before taking any legal action, we will remove all links related to the copyright owner.

NCERT Solutions for Class 12

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NCERT solutions for class 12 are excellent study materials to enhance students’ preparedness for the board exam. Maths, Physics, Chemistry, Biology, Accounting, and Business Studies NCERT solutions for class 12 are in the attached files.

Class 12 board exams are considered major academic milestones, and all students aim to pass with excellent scores. However, students must prepare strategically to secure their target score in the class 12 board exams. To meet this need, NCERT solutions for class 12 are carefully developed to include comprehensive explanations of all important topics. Step-by-step solutions also accompany all exercise questions. NCERT solutions also help students prepare for class 12 board exams to answer questions correctly and score high marks.

If you are a CBSE class 12 student, we strongly advise you to start your exam preparation with the help of PW NCERT Solutions. Additionally, we have provided subject-wise NCERT solutions for class 12 core subjects to make learning accessible to you. Continue reading the blog to get all the necessary links.

NCERT Solutions for Class 12 Download PDF

These solutions cover all the syllabus topics of Maths, Science, and Commerce subjects. Students can also access NCERT solutions for all individual chapters of these subjects. This way, the NCERT solutions for class 12 assist students in resolving any problems they may have while answering the NCERT textbook questions.

NCERT subject-wise solutions are provided below. Students must click the links to access and download the NCERT solutions for class 12:

NCERT Solutions for Class 12 Maths

Class 12 Maths includes multiple chapters like matrices, vector algebra, probability, etc. An in-depth understanding of all the Maths syllabus chapters is essential for grasping the concept and principles of each chapter. Therefore, the NCERT solutions for class 12 Maths include elaborate explanations of all the exercise questions.

Furthermore, class 12 students must use the NCERT solutions for class 12 Maths to understand all the steps they must follow to solve questions from different chapters. Additionally, they can learn to solve challenging questions by regularly practising with the NCERT solutions for Maths.

Students must click the following links of NCERT solutions for class 12 Maths to access and download chapter-wise solutions:

NCERT Solutions for Class 12 Science

Class 12 students who want to attempt medical and engineering competitive entrance exams must cover all the chapters of different class 12 Science sections. Moreover, class 12 Science covers multiple concepts that are crucial for performing well in class 12 board exams. Therefore, the NCERT solutions for class 12 Science provides detailed answers to all the NCERT exercise questions. Furthermore, these solutions are written in easily understandable language, which makes learning convenient. In addition, the NCERT solutions for class 12 Science are separately categorised into different sections, namely, Physics, Chemistry, and Biology, for better accessibility.

Class 12 students must click the links provided below to access chapter-wise NCERT solutions for Physics:

NCERT Solutions for Class 12 Chemistry

Though Chemistry is considered the most scoring section of class 12 Science, students must thoroughly cover the entire syllabus to perform well in the bosch exam. Some multiple chemical reactions and concepts may be tricky for students. Therefore, they should prepare with the NCERT solutions for class 12 Science , which elaborately explain all the chapters of class 12 Chemistry.

Here is a list of all the chapters covered in the NCERT Solutions for Class 12 Chemistry:

• NCERT Solutions for Class 12 Biology

Class 12 Biology consists of chapters like evolution, human reproduction, health and disease, and so on. All the Biology chapters are lengthy, and students need to give proper attention to thoroughly understand their concepts. Although NCERT textbooks are the best guide for learning about the principles of Biology chapters, NCERT solutions for class 12 Science educate students accurately answer the exercise questions. Therefore, students must refer to the NCERT solutions to strengthen their grasp of Biology topics.

Students can get detailed NCERT solutions for class 12 Biology by clicking the below-mentioned links:

Students can also access detailed subject-wise NCERT solutions for class 12 Science by clicking the links provided below:

NCERT Solutions for Class 12 Business Studies

Class 12 Business Studies is an extension to the chapters covered in class 12. Additionally, all the syllabus chapters are important for understanding the business management process. Furthermore, students must learn about financial management, consumer protection, etc. Therefore, the NCERT solutions for class 12 Business Studies include detailed answers to all the exercise questions. These solutions are written in easy and simple language, which assists students in creating revision notes.

Students can click the following links to access chapter-wise NCERT solutions for class 12 Business Studies:

NCERT Solutions for Class 12 Accountancy

The NCERT solution for the class 12 Accountancy syllabus includes many tricky and challenging chapters. Students must understand the concept and take references from solved examples to solve the questions of all the chapters.

Another effective strategy to enhance a command of Accountancy topics includes preparing with the help of NCERT solutions for class 12 Accountancy . These solutions are carefully designed by PW subject matter experts who focus on explaining all the topics in a simple manner. Additionally, the NCERT solutions offer detailed knowledge about the concepts of all the chapters.

Also Check -  CBSE Compartment Result 2023 Out, Class 10th and 12th Supplementary Result Link

Class 12 students must use the following links to download and save NCERT solutions for class 12 Accountancy:

NCERT Solutions for Class 12 FAQs

Q1. What should class 12 students use NCERT solutions to prepare for Board exams?

Ans. PW subject matter experts meticulously design NCERT solutions to make learning convenient and effective for the board exams. Additionally, students who follow a strategic preparation routine by referring to the NCERT solutions for class 12 can understand all the syllabus chapters and perform well in the board exams.

Q2. How many chapters are covered in NCERT solutions for class 12 Maths?

Ans. Class 12 NCERT Maths solutions are created with the aim to enhance students’ preparation for the board exam. Therefore, it covers all 13 chapters of the class 12 syllabus.

Q3. Can I access chapter-wise NCERT solutions for class 12 Business Studies?

Ans. Yes, all the students can access chapter-wise NCERT solutions for class 12 Business studies on the PW website. These solutions cover all the exercise questions given at the end of each Business Studies chapter.

Q4. What are the subjects included in PW’s NCERT solutions for class 12?

Ans. Our NCERT solutions cover all the core subjects of the Science and Commerce stream. These include the following:

• Business Studies
• Accountancy

Q5. What is the best time to prepare with the NCERT solutions for class 12?

Ans. The class 12 syllabus of each subject includes multiple chapters. To perform well, students need to understand the concepts of all the chapters thoroughly. Therefore, they must start preparing with the NCERT solutions from the beginning of the academic year. This way, they can complete the entire syllabus early and do multiple revisions to enhance their preparation.

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NCERT Solutions for Class 12 Physics For All Chapters Free PDF Download

NCERT Solutions for Class 12 Physics  are designed by highly experienced subject experts at Learninsta.com after thorough research on the subject and brain-mapping the student’s level of understanding. All chapters concept-based and numerical-based questions and detailed solutions are provided in the NCERT Solutions for 12th class physics.

Studying & preparing from NCERT Class 12 Physics Solutions Book can help you figure out how to answer the given questions in the board exams and raise scores. So, download NCERT CBSE 12th Physics Solutions in PDF via the access links available on this page. You can find all chapters detailed and step by step solutions of class 12 physics to ace up your preparation from the provided NCERT Solutions PDF.

Download NCERT Solutions PDF for Class 12 Physics

Here is the list of Chapter-wise NCERT Solutions for Class 12 Physics in PDF Format. So, that you can download a specific chapter of 12th physics CBSE NCERT Solutions by clicking on the below accessible links.

• Class 12 Physics Chapter 1 Electric Charges and Fields
• Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance
• Class 12 Physics Chapter 3 Current Electricity
• Class 12 Physics Chapter 4 Moving Charges and Magnetism
• Class 12 Physics Chapter 5 Magnetism and Matter
• Class 12 Physics Chapter 6 Electromagnetic Induction
• Class 12 Physics Chapter 7 Alternating Current
• Class 12 Physics Chapter 8 Electromagnetic Waves
• Class 12 Physics Chapter 9 Ray Optics and Optical Instruments
• Class 12 Physics Chapter 10 Wave Optics
• Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter
• Class 12 Physics Chapter 12 Atoms
• Class 12 Physics Chapter 13 Nuclei
• Class 12 Physics Chapter 14 Electronics Devices
• Class 12 Physics Chapter 15 Communication Systems

Importance of Preparing from CBSE NCERT Class 12 Physics Solutions

CBSE Class 12 Students should be aware of the importance of NCERT Solutions and start including this study resource as mandatory during exam preparation time. To get full clarity about NCERT Class 12 physics solutions, we have listed some of the main points here below:

• Effective in scoring high marks in the board exams.
• Helps students to learn and understand all-important questions and solutions of every concept.
• Step-by-step solutions for the problem-based questions and detailed answers all logical reasoning questions & descriptive questions.
• Best study books to clarify all the doubts & ace up your exam preparation.
• It identifies the student’s level of subject knowledge and preparation.
• These NCERT CBSE Solutions for class 12 physics includes all chapters.

FAQs on 12th Standard NCERT Solutions PDF’s for all Chapters

1. What is the best part of preparing Class 12 Physics from NCERT Solutions?

By practicing from the NCERT class 12 Physics Solutions, students can easily focus on all chapter’s important questions. Also, they can perfectly plan their structure of presenting the solutions in any exams.

2. Where can I find Chapter Wise NCERT Solutions for Class 12 Physics?

Students can find all chapters CBSE Ncert class 12 physics solutions in PDF format from learninsta.com. It is a reliable source to offer the best study resources for all CBSE and State boards.

3. How to Download Class 12 Physics NCERT Solutions book for all chapters?

Simply press on the above-provided links and download chapterwise NCERT Solutions Book for Class 12 Physics in PDF for free of cost. Kickstart your preparation for CBSE 12th physics board exams & secure high marks by using the best study books.

We hope the provided data about NCERT Solutions for Class 12 Physics gonna help you in your whole preparation. So, practice more from Class 12 Physics NCERT Solutions PDF & score well. Need any assistance regarding Chapter-wise NCERT 12th Class physics solutions PDF Download, then drop your comments below. We’ll solve it & get back to you asap. Meanwhile, bookmark or visit Learninsta.com for more information on CBSE NCERT Solutions PDF.

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Class 12 Physics Index Page

Here, we have provided a complete list of chapters and subtopics discussed in the Class 12 National Council of Educational Research and Training textbook (NCERT). Access free study material by clicking on the respective subtopics.

The chapters and subtopics listed below are according to the latest syllabus of Central Board of Secondary Education. The exhaustive content provided for each of these subtopics will guide you through what you can expect to study in Class 12 Physics.

Class 12 Physics Chapters

Why refer to these articles?

Physics is one of the most interesting subjects which is filled with numerous engaging concepts. The concepts taught in the 12th standard are the fundamentals of the subject. Students must learn these concepts in-depth to develop their skills in the subject and build a strong foundation.

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Assignments For Class 12 Physics

Solve these Physics Assignment for Class 12 PDF with answers. These Physics Assignment for Class 12 PDF are prepared by our expert teachers on the latest exam pattern of the CBSE Board Exam. We have provided you CBSE Class 12 Physics Assignment Pdf with answers to help students to make their preparation better.

Assignments for Class 12 Physics have been developed for Standard 12 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 12 Physics from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 12 Physics. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Physics book and get good marks in class 12 exams.

Assignments for Class 12 Physics as per CBSE NCERT pattern

All students studying in Grade 12 Physics should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Physics exam for standard 12. We have made sure that all topics given in your textbook for Physics which is suggested in Class 12 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

Some advantages of Free Assignments for Class 12 Physics

• Solving Assignments for Physics Class 12 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
• By solving one assignments given in your class by Physics teacher for class 12 will help you to keep in touch with the topic thus reducing dependence on last minute studies
• You will be able to understand the type of questions which are expected in your Physics class test
• You will be able to revise all topics given in the ebook for Class 12 Physics as all questions have been provided in the question banks
• NCERT Class 12 Physics Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
• Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 12 Physics teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 12 Physics Assignments PDF.

Free PDF download of Physics Assignment for Class 12 pdf created by master educators from the latest syllabus of CBSE Boards. By practicing these Assignment of physics Class 12 will help you to score more marks in your CBSE Board Examinations. We also give free NCERT Solutions and other study materials for students to make their preparation better.

Students who are searching for better solutions can download the Physics Assignment for Class 12 PDF with solutions to assist you with revising the whole syllabus and score higher marks in your exam.

This Chapter wise assignment for Class 12 physics with solutions shows up with an answer key with step-by-step answers for students to comprehend the problem at each level and ​not retain it.

We hope this Physics Assignment for Class 12 PDF with answers shared with you will help you to score good marks in your exam. We have also other study material like NCERT Solutions, NCERT Book, Exam Question, and simpler paper of Class 12. If You want to score higher in your exam, So practice all this study material and if you have any problem then, write it in the comment box and we will guide you as much as possible.

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You can get free PDF downloadable assignments for Grade 12 Physics from our website which has been developed by teachers after doing extensive research in each topic.

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