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Physics · Class 12 Science

Ch 7Dual Nature of Radiation and Matter — Class 12 Physics, concept-first.

Everyday experience gives us two very different pictures of how energy and matter move about. A particle -- a marble, a grain of sand, an atom, an electron -- is a tiny, localized concentration of matter that occupies a definite position at a definite instant.

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Key concepts

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Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

7.1

INTRODUCTION

Everyday experience gives us two very different pictures of how energy and matter move about. A particle -- a marble, a grain of sand, an atom, an electron -- is a tiny, localized concentration of mat…

7.1.1

Electron emission

Inside any metal, the electrons in the outermost (valence) shells of the atoms are only loosely bound to their nuclei, so even at ordinary room temperature a huge number of these electrons wander abou…

7.2

PHOTO ELECTRIC EFFECT

Photoelectric emission -- the ejection of electrons from a metal surface by incident light or other electromagnetic radiation -- is the single richest source of evidence for the particle nature of rad…

7.2.1

Hertz, Hallwachs and Lenard's observation

Heinrich Hertz, in 1887, was the first person to experimentally generate and detect electromagnetic waves, using a high-voltage induction coil to produce a spark discharge between two metal spheres (t…

7.2.2

Effect of intensity of incident light on photoelectric current

A dedicated apparatus is used to study the photoelectric effect systematically: a source S of electromagnetic radiation of adjustable, known frequency and intensity illuminates a photosensitive cathod…

7.2.3

Effect of potential difference on photoelectric current

Keeping the frequency and intensity of the incident light fixed, the anode's potential relative to the cathode is now varied and the resulting photocurrent recorded.

7.2.4

Effect of frequency of incident light on stopping potential

Keeping the intensity fixed this time, the stopping-potential measurement of the previous subsection is repeated for several different frequencies of incident light.

7.2.5

Laws of photoelectric effect

Bringing together the results of sections 7.2.2 through 7.2.4, the detailed experimental study of the photoelectric effect can be distilled into five compact laws that any correct theory of the effect…

7.2.6

Concept of quantization of energy

Having established the five experimental laws of the photoelectric effect, the natural next step is to try to explain them using the classical wave theory of light -- and this attempt fails badly, on…

7.2.7

Particle nature of light: Einstein's explanation

In 1905, Einstein extended Planck's quantum idea from the atomic oscillators that emit or absorb light to light itself.

7.2.8

Photo electric cells and their applications

A photo cell (photoelectric cell) is a device that converts light energy directly into electrical energy, working on the principle of the photoelectric effect: when light falls on a photosensitive mat…

7.3

MATTER WAVES

Sections 7.1 and 7.2 established that electromagnetic radiation -- ordinarily understood as a wave -- also behaves like a stream of particles (photons) whenever it interacts with matter, most dramatic…

7.3.1

Introduction - Wave nature of particles

A wave, in the classical sense, is described by its frequency, wavelength, wave velocity, amplitude and intensity, and it spreads out to occupy a relatively large region of space.

7.3.2

De Broglie wave length

A photon of frequency carries momentum ; since the speed of light satisfies , this can equally be written , giving the photon's wavelength in terms of its momentum as De Broglie's key insight was to t…

7.3.3

De Broglie wave length of electrons

For an electron of mass starting from rest and accelerated through a potential difference of volts, the kinetic energy it gains equals the work done by the accelerating field, , so its speed on emergi…

7.3.4

Davisson – Germer experiment

De Broglie's hypothesis of matter waves, though a bold theoretical proposal, needed direct experimental confirmation, and this came in 1927 from Clinton Davisson and Lester Germer, who demonstrated th…

7.3.5

Electron Microscope

The resolving power of any microscope -- its ability to distinguish two closely spaced points as genuinely separate -- is inversely proportional to the wavelength of the radiation used to illuminate t…

7.4

X – RAYS

Wilhelm Roentgen, in 1895, discovered that whenever fast-moving electrons strike certain materials, a highly penetrating form of radiation is given off.

X-ray Spectra and Applications

Plotting the intensity of the X-rays produced by a tube against their wavelength gives what is called an X-ray spectrum, and every such spectrum is made up of two physically distinct parts superimpose…

SUMMARY

This unit developed the dual (particle-and-wave) nature of both radiation and matter across four connected stages.

CONCEPT MAP

The unit's concept map is rooted at 'Dual nature of radiation and matter' and branches into three major limbs that mirror the unit's own three sections.

EVALUATION

57 Q

This end-of-unit EVALUATION block is the chapter's complete self-assessment, organised into four parts exactly as printed in the book.

+I Multiple Choice Questions15 questions
  1. Q1The wavelength $\lambda_e$ of an electron and $\lambda_p$ of a photon of the same energy $E$ are related as (NEET 2013): (a) $\lambda_p \pro…Free
  2. Q2In an electron microscope, the electrons are accelerated by a voltage of 14 kV. If the voltage is changed to 224 kV, then the de Broglie wav…Free
  3. Q3A particle of mass $3 \times 10^{-6}$ g has the same wavelength as an electron moving with a velocity $6 \times 10^{6}\ \text{m s}^{-1}$. Th…Free
  4. Q4When a metallic surface is illuminated with radiation of wavelength $\lambda$, the stopping potential is $V$. If the same surface is illumin…Preview
  5. Q5If a light of wavelength 330 nm is incident on a metal with work function 3.55 eV, the electrons are emitted. Then the wavelength of the emi…Preview
  6. Q6A photoelectric surface is illuminated successively by monochromatic light of wavelength $\lambda$ and $\dfrac{\lambda}{2}$. If the maximum…Preview
  7. Q7In photoelectric emission, a radiation whose frequency is 4 times the threshold frequency $\nu_0$ of a certain metal is incident on the meta…Preview
  8. Q8Two radiations with photon energies 0.9 eV and 3.3 eV respectively are falling on a metallic surface successively. If the work function of t…Preview
  9. Q9A light source of wavelength 520 nm emits $1.04 \times 10^{15}$ photons per second while a second source of wavelength 460 nm produces $1.38…Preview
  10. Q10The mean wavelength of light from the sun is taken to be 550 nm and its mean power is $3.8 \times 10^{26}$ W. The number of photons received…Preview
  11. Q11The threshold wavelength for a metal surface whose photoelectric work function is 3.313 eV is (a) 4125 Å (b) 3750 Å (c) 6000 Å (d) 2062.5 ÅPreview
  12. Q12A light of wavelength 500 nm is incident on a sensitive plate of photoelectric work function 1.235 eV. The kinetic energy of the photoelectr…Preview
  13. Q13Photons of wavelength $\lambda$ are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of…Preview
  14. Q14The work functions for metals A, B and C are 1.92 eV, 2.0 eV and 5.0 eV respectively. The metal(s) which will emit photoelectrons for a radi…Preview
  15. Q15Emission of electrons by the absorption of heat energy is called ……… emission. (a) photoelectric (b) field (c) thermionic (d) secondaryPreview
+II Short Answer Questions14 questions
  1. Q1Why do metals have a large number of free electrons?Free
  2. Q2Define work function of a metal. Give its unit.Free
  3. Q3What is photoelectric effect?Free
  4. Q4How does photocurrent vary with the intensity of the incident light?Preview
  5. Q5Give the definition of intensity of light and its unit.Preview
  6. Q6How will you define threshold frequency?Preview
  7. Q7What is a photo cell? Mention the different types of photocells.Preview
  8. Q8Write the expression for the de Broglie wavelength associated with a charged particle of charge $q$ and mass $m$, when it is accelerated thr…Preview
  9. Q9State de Broglie hypothesis.Preview
  10. Q10Why we do not see the wave properties of a baseball?Preview
  11. Q11A proton and an electron have same kinetic energy. Which one has greater de Broglie wavelength. Justify.Preview
  12. Q12Write the relationship of de Broglie wavelength $\lambda$ associated with a particle of mass $m$ in terms of its kinetic energy $K$.Preview
  13. Q13Name an experiment which shows wave nature of the electron. Which phenomenon was observed in this experiment using an electron beam?Preview
  14. Q14An electron and an alpha particle have same kinetic energy. How are the de Broglie wavelengths associated with them related?Preview
+III Long Answer Questions13 questions
  1. Q1What do you mean by electron emission? Explain briefly various methods of electron emission.Free
  2. Q2Briefly discuss the observations of Hertz, Hallwachs and Lenard.Free
  3. Q3Explain the effect of potential difference on photoelectric current.Free
  4. Q4Explain how frequency of incident light varies with stopping potential.Preview
  5. Q5List out the laws of photoelectric effect.Preview
  6. Q6Explain why photoelectric effect cannot be explained on the basis of wave nature of light.Preview
  7. Q7Explain the quantum concept of light.Preview
  8. Q8Obtain Einstein's photoelectric equation with necessary explanation.Preview
  9. Q9Explain experimentally observed facts of photoelectric effect with the help of Einstein's explanation.Preview
  10. Q10Give the construction and working of photo emissive cell.Preview
  11. Q11Derive an expression for de Broglie wavelength of electrons.Preview
  12. Q12Briefly explain the principle and working of electron microscope.Preview
  13. Q13Describe briefly Davisson – Germer experiment which demonstrated the wave nature of electrons.Preview
+IV. Numerical problems15 questions
  1. Q1How many photons per second emanate from a 50 mW laser of wavelength 640 nm?Free
  2. Q2Calculate the maximum kinetic energy and maximum velocity of the photoelectrons emitted when the stopping potential is 81 V for a photoelect…Free
  3. Q3Calculate the energies of the photons associated with the following radiation: (i) violet light of 413 nm (ii) X-rays of 0.1 nm (iii) radio…Free
  4. Q4A 150 W lamp emits light of mean wavelength 5500 Å. If the efficiency is 12%, find out the number of photons emitted by the lamp in one seco…Preview
  5. Q5How many photons of frequency $10^{14}$ Hz will make up 19.86 J of energy?Preview
  6. Q6What should be the velocity of the electron so that its momentum equals that of a 4000 Å wavelength photon?Preview
  7. Q7When a light of frequency $9 \times 10^{14}$ Hz is incident on a metal surface, photoelectrons are emitted with a maximum speed of $8 \times…Preview
  8. Q8When a 6000 Å light falls on the cathode of a photo cell and produces photoemission, a stopping potential of 0.8 V is required to stop the e…Preview
  9. Q9A 3310 Å photon liberates an electron from a material with energy $3 \times 10^{-19}$ J, while another 5000 Å photon ejects an electron with…Preview
  10. Q10At a given point of time, the earth receives energy from the sun at 4 cal cm$^{-2}$ min$^{-1}$. Determine the number of photons received on…Preview
  11. Q11UV light of wavelength 1800 Å is incident on a lithium surface whose threshold wavelength is 4965 Å. Determine the maximum energy of the ele…Preview
  12. Q12Calculate the de Broglie wavelength of a proton whose kinetic energy is equal to $81.9 \times 10^{-15}$ J. (Given: mass of proton is 1836 ti…Preview
  13. Q13A deuteron and an alpha particle are accelerated with the same potential. Which one of the two has (i) greater value of de Broglie wavelengt…Preview
  14. Q14An electron is accelerated through a potential difference of 81 V. What is the de Broglie wavelength associated with it? To which part of th…Preview
  15. Q15The ratio between the de Broglie wavelengths associated with protons, accelerated through a potential of 512 V, and that of alpha particles…Preview

BOOK FOR REFERENCES

The unit closes with a short reading list of four standard textbooks recommended for students who want to explore modern physics and the wave-particle duality of radiation and matter in greater depth…

ICT CORNER

This closing activity box, titled 'Dual nature of radiation and matter', points students to the PhET Interactive Simulations website's legacy Photoelectric Effect simulation, an interactive, browser-b…

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 39 questions39 questions
  1. Q1The photoelectric effect can be explained on the basis of : (a) corpuscular theory of light (b) wave theory of light (c) electromagnetic the…Preview
  2. Q2In Raman effect, the wavelength of the incident radiation is 5890 Å. The wavelengths of Stokes' and anti-Stokes' lines are respectively : (a…Preview
  3. Q3The energy of a photon of characteristic X-ray from a Coolidge tube comes from : (a) the kinetic energy of the free electrons of the target…Preview
  4. Q4The threshold frequency of a photosensitive surface is $5 \times 10^{14}$ Hz. Then which of the following will produce photoelectric effect…Preview
  5. Q5Write any three medical applications of X-rays.Preview
  6. Q6Write any five properties of cathode rays.Preview
  7. Q7Derive an expression for de-Broglie's wavelength of matter waves.Preview
  8. Q8Write any five applications of photo electric cells.Preview
  9. Q9Draw a neat sketch of Ruby Laser. Explain its working with the help of energy level diagram.Preview
  10. Q10The stopping potential of a metal surface is independent of : (a) the nature of the metal surface (b) frequency of incident radiation (c) ve…Preview
  11. Q11In Thomson's experiment for the determination of $(e/m)$ of electron, electric field of intensity 'E' only is applied. Now the deflection pr…Preview
  12. Q12In photoelectric effect, the momentum of incident photon of energy $3 \times 10^{-19}$ J is : (a) $9\times10^{11}$ kg m s$^{-1}$ (b) Zero (c…Preview
  13. Q13Write the uses of electron microscope.Preview
  14. Q14Derive Einstein's photoelectric equation.Preview
  15. Q15The threshold frequency of a photo-sensitive surface is $5\times10^{14}$ Hz. Then which of the following can produce photoelectric emission…Preview
  16. Q16What are the characteristics of laser ?Preview
  17. Q17The de-Broglie wavelength of a neutron of kinetic energy K is λ. When its kinetic energy is 4K, what is the de-Broglie wavelength of the neu…Preview
  18. Q18A light of wavelength 500 nm is incident on a sensitive plate of photoelectric work function 1.235 eV. The kinetic energy of the photo elect…Preview
  19. Q19Why electron is preferred over X-ray in microscope ?Preview
  20. Q20Derive an expression for de-Broglie wavelength of electrons.Preview
  21. Q21(a) Describe Davisson-Germer experiment which demonstrated the wave nature of electrons. **OR** (b) (i) Derive an expression for the orbital…Preview
  22. Q22In an electron microscope, the electrons are accelerated by a voltage of 14 kV. If the voltage is changed to 224 kV, then the de-Broglie wav…Preview
  23. Q23Emission of electrons by the absorption of heat energy is called ________ emission. (a) Thermionic (b) Photo electric (c) Secondary (d) Fiel…Preview
  24. Q24The charge of cathode ray is : (a) neutral (b) positive (c) not defined (d) negativePreview
  25. Q25Define work function of a metal. Mention its unit.Preview
  26. Q26List out the laws of photo electric effect.Preview
  27. Q27The wavelength $\lambda_e$ of an electron and $\lambda_p$ of a photon of same energy E are related by : (a) $\lambda_p \propto \dfrac{1}{\sq…Preview
  28. Q28Define work function of a metal. Give its unit.Preview
  29. Q29Write any three Laws of Photoelectric Effect.Preview
  30. Q30The threshold wavelength for a metal surface whose photoelectric work function is 3.313 eV : (a) 6000 Å (b) 4125 Å (c) 2062.5 Å (d) 3750 ÅPreview
  31. Q31The half-life of radioactive sample is 5.01 days. Calculate the decay constant.Preview
  32. Q32How many photons per second emanate from a 50 mW laser of 640 nm ?Preview
  33. Q33(a) Obtain Einstein's photoelectric equation with necessary explanations. **OR** (b) Find out the phase relationship between the voltage and…Preview
  34. Q34In photoelectric emission, a radiation whose frequency is 4 times threshold frequency of a certain metal is incident on the metal. Then, the…Preview
  35. Q35Define stopping potential.Preview
  36. Q36A radiation of wavelength 300 nm is incident on calcium surface. Will photoelectrons be observed ? Justify your answer. (Work function of ca…Preview
  37. Q37Emission of electrons by the absorption of heat energy is called ________ emission. (a) field (b) thermionic (c) photoelectric (d) secondaryPreview
  38. Q38What are matter waves ?Preview
  39. Q39When a light of frequency $9 \times 10^{14}$ Hz is incident on a metal surface, photoelectrons are emitted with a maximum speed of $8.14 \ti…Preview