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NCERT Solutions for Class 12 Physics Chapter 11 Dual Nature and Radiation of Matter: Free PDF Download

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

The dual nature of matter and radiation class 12 explains the duality in nature of matter, namely particle and wave. Phenomena like interference, diffraction and polarisation are part of the wave nature of light. Students also learn about the Compton effect and photoelectric effect where energy-momentum exchange and radiation behave as particles known as a photon.

Furthermore, in NCERT solutions for class 12 physics chapter 11, there is an explanation on electrons released from the surface of metals due to the photoelectric effect. At the same time, De Broglie equation states that a beam of electrons can be diffracted as a beam of light. There is an in-depth explanation of Einstein's photoelectric equation, Davisson and Germer experiment, Hertz's observation, Hallwachs’ and Lenard's experiment.


Important Topics Covered in the NCERT Solutions for Class 12 Physics Chapter 11 

This chapter will help students to know about the characteristics of electrons, the response of electrons in atoms to light, and their properties. This topic also explains the theories and equations of popular scientists in detail. 

  • Electron Emission

  • Photoelectric Effect

  • Experimental Study of Photoelectric Effect

  • Photoelectric Effect and Wave Theory of Light

  • Einstein’s Photoelectric Equation: Energy Quantum of Radiation

  • Particle Nature of Light: The Photon

  • Wave Nature of Matter

  • Davisson and Germer Experiment

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Dual Nature of Radiation and Matter Class 12 NCERT Solutions

This dual nature of matter and radiation class 12 solution is available in PDF format to help CBSE students secure good grades in the board. There is a comprehensive explanation of electricity conduction through gases, electric emission, Hertz observation, Hallwachs’ and Lenard's observation and the practical photoelectric effect. Moreover, concepts like the intensity of light on photocurrent, photoelectric equation of Einstein, photon particle nature of light and wave nature of light has been explained briefly.

 

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NCERT Solutions for Class 12 Physics Chapter 11

Class 12 physics ch 11 CBSE NCERT Solutions have 37 questions divided as equations and theory. Where the first 19 questions are intext questions while the remaining 18 are additional exercise questions.

 

Here is a brief description of the questions in the topic dual nature of matter and radiation class 12.

 

Question 1: Physics class 12 dual nature of matter NCERT solutions.

In the first question, students need to determine the maximum frequency and minimum wavelength of X-rays produced by 30KV electrons.

 

Question 2: Physics class 12 dual nature of matter NCERT solutions.

Students have to calculate the maximum kinetic energy of emitted electrons, stopping potential and maximum speed emitted by photoelectrons when the work function of caesium metal is 2.14eV and light of frequency is 6 x 10¹⁴ Hz.

 

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Question 3: NCERT solution of dual nature of radiation and matter.

In the third question, the kinetic energy of photoelectrons emitted, when cutoff photoelectric voltage is 1.5v, needs to be determined.

 

Question 4:  NCERT solutions of chapter 11 Physics class 12.

This fourth question in dual nature of matter and radiation class 12 asks students to find the energy and momentum of a photon in the light beam and how fast a hydrogen atom travels to have the same speed as a photon. Here, the monochromatic light wavelength is 632.8nm and power emitted is 9.42mW.

 

Question 5: NCERT solutions for class 12 Physics dual nature.

In the fifth question, students need to calculate how many photons per square meter are incident on the earth per second when the energy flux of sunlight to earth surface is 1.388 x 10³ W/m².

 

Question 6: Class 12 Physics dual nature of radiation and matter.

This question requires calculating the Planck’s constant where the slope of cut off voltage vs frequency of incident light is 4.12 x 10‾¹⁵ V.

 

Question 7: NCERT solution of chapter 11 physics class 12.

The seventh question asks students to determine energy per photon associated with the sodium light and the rate at which photons are delivered to the sphere. Here P is 100 W, λ (wavelength) is 589nm.

 

Question 8: NCERT solutions for class 12 Physics chapter 10 dual nature of radiation and matter.

Question number eight gives the variable that is threshold frequency 3.3 x 10¹⁴ Hz, and light frequency is 8.2 x 10¹⁴ Hz. Here students have to find the cut off voltage for photoelectric emission.

 

Question 9: NCERT solution of chapter 11 physics class 12.

In this question, students have to find the value of photoelectric emission of metal where the wavelength is 330nm and the work function of the specific metal is 4.2eV.

 

Question 10: Class 12 Physics Chapter 11.

Here the threshold frequency for photoemission of electrons is needed to be determined. The light of frequency is 7.21 x 10¹⁴ Hz and electrons with a maximum speed of 6.0 x 10⁵ m/s.

 

Question 11: Dual nature of matter and radiation class 12 NCERT solutions.

This question needs to find the work function of the material from which the emitter is made. Its wavelength is 488nm and stopping potential photoelectrons is 0.38 V.

 

Question 12 and 13: Chapter 11 Physics class 12 NCERT solutions.

The twelfth question in the topic dual nature of matter and radiation class 12 is how to calculate the momentum when the de Broglie wavelength of electrons is 56 V, and kinetic energy is 120eV.

 

Question 14: Ch 11 Physics class 12.

In this question, students need to determine the kinetic energy of an electron and whether a de Broglie wavelength will become the neutron. Here λ is 589nm.

 

Question 15: Class 12 physics ch 11 NCERT solutions.

In this question, students will calculate the de Broglie's wavelength where variables are (a) mass 0.04kg, speed 1.0km/s (b) m 0.06kg and speed 1.0m/s (c) mass 1.0 x 10‾9 kg and speed 2.2 m/s.

 

Question 16: NCERT solutions for class 12 physics chapter 11.

Here, students will have to determine the momentum of an electron, photon and kinetic energy of an electron.

 

There are a total of four marks assigned to this topic dual nature of matter and radiation class 12, which is divided as a concise answer and short answer.

 

Marks Weightage of Dual Nature of Matter and Radiation Class 12 NCERT Solutions

Dual Nature of Radiation and Matter

Understanding

Very short answer

1(1)

Short answer II

-

Short answer I

3(1)

Long answer

-

 

Benefits of Dual Nature of Matter and Radiation Class 12 NCERT Solutions:

  • Images and diagrams for step by step explanation.

  • Elaborate examples and definition.

  • Easy to understand language.

  • A brief description of laws by eminent scientists.

 

Apart from these questions in dual nature of matter and radiation class 12, students have additional exercises to solve which include mathematical and theoretical problems. They should go through the complete chapter thoroughly and understanding it to its fullest.


Important Formulas in NCERT Solutions for Class 12 Physics Chapter 11 - Dual Nature of Radiation and Matter

Here is the list of important formulae that you must remember to solve the numerical problems related to the chapter - Dual Nature of Radiation and Matter.

  • Energy of Photon  ε = hv

  • De Broglie wavelength λ = \[\frac{h}{mv}\]

  • Photoelectric effect hv = KE\[_{max}\] + ф

  • Phase velocity V\[_{p}\] = \[\frac{w}{k}\]

We at Vedantu always support your exam preparation. Utilize the link given below to have a specific glance at important formulas in NCERT Solutions for Class 12 Physics Chapter 11 - Dual Nature of Radiation and Matter.


Related Study Materials for Class 12 Physics Chapter 11 Dual Nature and Radiation of Matter


NCERT Class 12 Physics Solutions - Free PDF Download


Class 12 Physics Chapter 11 Dual Nature and Radiation of Matter is one of the chapters covered in the CBSE Term 2 Class 12 Physics syllabus. The main topics covered in the chapter are the photoelectric effect, dual nature of radiation, Einstein’s photoelectric equation, particle nature of light, and Hertz and Leonard’s observations. The other topics discussed in this chapter include the experimental study of the photoelectric effect, matter waves, de Broglie's relation, and the wave nature of particles. Students can download all study materials on this chapter from Vedantu for free and solve the Class 12 Physics sample papers, and previous years’ question papers to prepare the chapter for their exams.

FAQs on NCERT Solutions for Class 12 Physics Chapter 11 Dual Nature and Radiation of Matter: Free PDF Download

1. How Many Subtopics are There in the Dual Nature of Radiation and Matter Chapter of class 12 Physics?

The 11th chapter of class 12 Physics book is the dual nature of radiation and matter which deals with a vast range of subtopics. The chapters are divided as:

  • Electrons and emission

  • Photoelectric effect

  • Hertz's observation

  • Hallwachs’ and Lenard's observation 

  • Tentative study of the photoelectric effect

  • The effect of intensity on photocurrent

  • The result of potential on photoelectric current

  • The frequency of incident radiation on stopping potential and its effect

  • Wave theory light and Photoelectric effect

  • Energy quantum radiation and Einstein's photoelectric equation

  • Photon: particle nature  of light

  • Matter’s wave nature

  • Davisson and Germer's experiment

2. What is the Nature of Radiation?

Radiation is a form of energy. There are two kinds of radiation that is particulate radiation and electromagnetic radiation. The particulate radiation involves tiny fast-moving particles that have both energy and mass. It is principally formed by the disintegration of an unstable atom with Alpha and Beta particles.


The Alpha particles can travel only a short distance and are stopped by an object. At the same time, Beta particles are half the size of alpha particles but are fast-moving electrons.


The electromagnetic radiation is pure energy with no mass and is like vibrating or energetic waves of magnetic and electrical energy. This vibrating charge produces electromagnetic waves, which consists of both electric and magnetic components.

3. What were the Observations Made by Hertz and Lenard’s on the Photoelectric Effect?

There were primarily three observations made be Hertz and Lenard; there are as follow:

  1. The intensity of light falling on an electrode is directly proportional to the photoelectric current. The stopping potential often stays independent of the intensity of the light.

  2. The maximum kinetic energy increases along with the increase in the frequency of light. Stopping potential becomes less as the frequency of light increases, implying that the kinetic energy of the electrons increases.

  3. The light above a certain frequency can create a photoelectric current. This is commonly referred to as the threshold frequency and varies with the electrode material in use.

4. Why is Vedantu NCERT Solutions Class 12 Physics Chapter 11 really helpful?

Vedantu’s NCERT Solutions Class 12 Physics Chapter 11 are really important to every student preparing for the final board exam. Apart from the board exam, these solutions come handy when it comes to the various entrance or competitive exams preparation. These solutions are extremely well designed by the in house Physics experts accurately and comprehensively.


NCERT Solutions Class 12 Physics helps to prepare for the exams without any hassle as it consists of important questions-answers, diagrams, graphs, illustrations and examples that are relevant to the chapter. With the help of this solution, students can understand a chapter in an interactive and efficient way.

5. What is the Chapter 11-”Dual nature of matter and radiation” of  Class 12 Physics about?

The dual nature of matter and radiation in Class 12 explains the duality in the nature of matter, namely particle and wave. In this chapter, it is explained that according to the de Broglie concept of matter waves, when the matter is at rest, it acts like a particle and when the matter is moving, it acts like a wave and shows its properties. Therefore it is said that matter has the dual nature of both a particle and a wave.

6. Who gave the concept of the dual nature of radiation?

Louis De Broglie gave the concept of the dual nature of radiation. Radiation is a form of energy. The process of giving off energy in the form of waves or particles suggests the dual nature of both a particle and a wave. If you are facing any difficulty in any topic, you can take a look at Vedantu’s NCERT Solutions Class 12 Physics Chapter 11 which are prepared by experts and are presented in a very clear and precise manner so that you can understand the concepts well. These NCERT Solutions are also available in the form of PDF which can be downloaded free of cost.

7. What is meant by the dual nature of matter?

The dual nature of matter and radiation class 12 explains the duality in the nature of matter, namely particle and wave.  According to the de Broglie concept of matter waves, when the matter is at rest, it acts like a particle and when the matter is moving, it acts like a wave and shows its properties. Therefore it is said that matter has the dual nature of both a particle and a wave.

8. What concepts can I learn using the NCERT Solutions for class 12 Physics Chapter 11?

The CBSE board question papers have 99% of questions from NCERT only. Sometimes, CBSE asks twisted questions but with the same concept given in NCERT. The trick to scoring well in class 12 Physics Chapter 11 is to clear your concepts instead of mugging them up. In order to score maximum, one should practice a lot. NCERT books offer multiple kinds of questions at the end of each chapter. Vedantu offers solutions for this chapter. You can access these solutions on the vedantu website or the vedantu app. These solutions are prepared by experts and are written in easy to understand language.

9. Why is Class 12 Physics Chapter 11 important?

Aside from these dual nature of matter and radiation class 12 questions, students must also complete extra activities that contain mathematical and theoretical issues. They should look over the whole chapter and make sure they grasp everything there is to know about it. It will help them uplift their analytical and practical skills.