Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

A photosensitive surface is illuminated by a point source of light 1 m away. When the source is shifted to 2 m, then

Options:

each emitted electron carries one eighth of the initial energy.

number of emitted electrons is half the initial number

each emitted electron carries half the initial energy

number of emitted electrons is a quarter of the initial number

Correct Answer:

number of emitted electrons is a quarter of the initial number

Explanation:

The correct answer is Option (4) → number of emitted electrons is a quarter of the initial number

Given: A point source of light is moved from 1 m to 2 m away from a photosensitive surface.

Since light intensity varies inversely as the square of distance,

$I \propto \frac{1}{r^2}$

Therefore,

$\frac{I_2}{I_1} = \left(\frac{1}{2}\right)^2 = \frac{1}{4}$

Photoelectric current (number of emitted electrons per second) ∝ Intensity.

Thus, when the source distance doubles, the number of emitted electrons becomes one-fourth of the original.

Energy of each emitted electron depends only on frequency of light, not on intensity.

Final Answer: number of emitted electrons is a quarter of the initial number.