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

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Jasmine Grover

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NCERT Solutions for Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter are provided in the article with a detailed explanation of all the concepts. A substance can have wave nature, exhibiting the phenomena of interference and diffraction, as well as a particle nature (quanta or light packets). 

Unit 7 Dual Nature of Radiation and Matter along with Unit 8 Atoms and Nuclei has a weightage of 12 marks in the CBSE Class 12 Physics Examination. NCERT Solutions for Class 12 Physics Chapter 11 covers the concepts of the photoelectric effect and Electron Emission.

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


NCERT Solutions for Class 12 Physics Chapter 11

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Previous Year Questions

  1.  Which one among the following shows particle nature of light? [ NEET 2001]
  2. The velocity of electron beam will be...[NEET 2001]
  3. aximum torque exerted by the field on the dipole is….[KEAM]
  4. The average velocity and the average speed of the toy car between 0to30to3 seconds are respectively….[NEET 2018]
  5. The energy of most energetic photoelectron is…. [JIPMER 1999]
  6. An example for the best source of monochromatic light is… [JKCET 2019]

Class 12 Physics Chapter 11 – Topics Covered

  • Photoelectric Effect is the phenomenon of emission of photoelectron from the metal surface when a beam of light of suitable frequency is incident on it.

The electrons that are emitted from the surface are known as photoelectrons and the current produced is known as the photoelectric current.

  • Effect of Intensity of Light on Photo current: For a fixed frequency of incident radiation, the photoelectric current linearly increases with an increase in the intensity of incident light.

Effect of Intensity of light on photocurrent

  • Work Function is the minimum amount of energy that is required to eject an electron from the outermost surface of a metal.
\(Work\ Function, W = hv_o\ (threshold\ frequency)= {hc \over \lambda_0 (threshold\ wavelength)}\)
  • For a given frequency of incident radiation, the minimum negative potential V0 given to a plate for which the photoelectric current becomes zero is known as cut-off or stopping potential.
\(KE_{max} = eV_0 => {1 \over 2} mv^2_{max} = eV_0\)
  •  Einstein Photoelectric Equation: When hv is the energy of photon and Ф is the work-function, the equation is given by:
\(K_{max} = hv - \Phi0\)

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CBSE CLASS XII Related Questions

  • 1.
    A part of a wire carrying \( 2.0 \, \text{A} \) current and bent at \( 90^\circ \) at two points is placed in a region of uniform magnetic field \( \vec{B} = -0.50 \, \hat{k} \, \text{T} \), as shown in the figure. Calculate the magnitude of the net force acting on the wire.


      • 2.
        In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.


          • 3.
            Assertion : Photoelectric effect is a spontaneous phenomenon. Reason (R): According to the wave picture of radiation, an electron would take hours/days to absorb sufficient energy to overcome the work function and come out from a metal surface.

              • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
              • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
              • Assertion (A) is true, but Reason (R) is false.
              • Both Assertion (A) and Reason (R) are false.

            • 4.
              Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

                • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                • Assertion (A) is true, but Reason (R) is false.
                • Both Assertion (A) and Reason (R) are false.

              • 5.
                Consider a cylindrical conductor of length \( l \) and area of cross-section \( A \). Current \( I \) is maintained in the conductor and electrons drift with velocity \( \vec{v}_d \, (|\vec{v}_d| = \frac{eE}{m} \tau) \), where symbols have their usual meanings. Show that the conductivity of the material of the conductor is given by \[ \sigma = \frac{n e^2 \tau}{m}. \]


                  • 6.
                    Four long straight thin wires are held vertically at the corners A, B, C and D of a square of side \( a \), kept on a table and carry equal current \( I \). The wire at A carries current in upward direction whereas the current in the remaining wires flows in downward direction. The net magnetic field at the centre of the square will have the magnitude:

                      • \( \dfrac{\mu_0 I}{\pi a} \) and directed along OC
                      • \( \dfrac{\mu_0 I}{\pi a \sqrt{2}} \) and directed along OD
                      • \( \dfrac{\mu_0 I \sqrt{2}}{\pi a} \) and directed along OB
                      • \( \dfrac{2\mu_0 I}{\pi a} \) and directed along OA
                    CBSE CLASS XII Previous Year Papers

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