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

Jasmine Grover Content Strategy Manager

Content Strategy Manager

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

Previous Year Questions

Which one among the following shows particle nature of light? [ NEET 2001]
The velocity of electron beam will be...[NEET 2001]
aximum torque exerted by the field on the dipole is….[KEAM]
The average velocity and the average speed of the toy car between 0to30to3 seconds are respectively….[NEET 2018]
The energy of most energetic photoelectron is…. [JIPMER 1999]
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:

$K_{max} = hv - \Phi0$

Also Read:

Chapter 11 Related Articles
Particle Nature of Light: The Photon	Einstein’s Photoelectric Equation: Energy Quantum of Radiation	Radiation
Planck Equation	Effects of Radiation	De broglie Wavelength Formula
Compton Wavelength	Dual Nature of Radiation and Matter MCQ	Dual Nature of Radiation and Matter Important Questions

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CBSE CLASS XII Related Questions

1.
A rectangular glass slab ABCD (refractive index 1.5) is surrounded by a transparent liquid (refractive index 1.25) as shown in the figure. A ray of light is incident on face AB at an angle $i$ such that it is refracted out grazing the face AD. Find the value of angle $i$.
$A rectangular glass slab ABCD (refractive index 1.5)$
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2.
A parallel plate capacitor has plate area $ A $ and plate separation $ d $. Half of the space between the plates is filled with a material of dielectric constant $ K $ in two ways as shown in the figure. Find the values of the capacitance of the capacitors in the two cases.
View Solution
3.
Three batteries E1, E2, and E3 of emfs and internal resistances (4 V, 2 $\Omega$), (2 V, 4 $\Omega$) and (6 V, 2 $\Omega$) respectively are connected as shown in the figure. Find the values of the currents passing through batteries E1, E2, and E3.
View Solution
4.
The electric field at a point in a region is given by $ \vec{E} = \alpha \frac{\hat{r}}{r^3} $, where $ \alpha $ is a constant and $ r $ is the distance of the point from the origin. The magnitude of potential of the point is:
- $ \frac{\alpha}{r} $
- $ \frac{\alpha r^2}{2} $
- $ \frac{\alpha}{2r^2} $
- $ -\frac{\alpha}{r} $
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5.
Answer the following giving reason:
(a) All the photoelectrons do not eject with the same kinetic energy when monochromatic light is incident on a metal surface.
(b) The saturation current in case (a) is different for different intensity.
(c) If one goes on increasing the wavelength of light incident on a metal sur face, keeping its intensity constant, emission of photoelectrons stops at a certain wavelength for this metal.
View Solution
6.
Write the mathematical forms of three postulates of Bohr’s theory of the hydrogen atom. Using them prove that, for an electron revolving in the $ n $-th orbit,
(a) the radius of the orbit is proportional to $ n^2 $, and
(b) the total energy of the atom is proportional to $ \frac{1}{n^2} $.
View Solution