In photo electric effect A. The photocurrent is proportional to the intensity of the incident radiation B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light. C. Max. K.E with which photoelectrons are emitted depends on the frequency of incident light. D. The emission of photoelectrons require a minimum threshold intensity of incident radiation. E. Max. K.E of the photoelectrons is independent of the frequency of the incident light. Choose the correct answer from the options given below:

Dual Nature of Radiation PYQ — JEE Main 2023 · 8 Apr · Shift 2 · Q45 with Solution

View written solutionFree

Correct answer: D

Use the basic laws of photoelectric effect

For incident light of frequency $\nu$ : $K_{\max} = h\nu - \phi$ where $h$ is Planck's constant and $\phi$ is the work function of the metal.

Also, photoelectric current depends on the number of photoelectrons emitted per second, which is related to the intensity of incident light (provided frequency is above threshold).
Check each statement

A. The photocurrent is proportional to the intensity of the incident radiation.
This is true. Higher intensity means more photons per second, hence more emitted electrons per second, so photocurrent increases.

B. Maximum kinetic energy with which photoelectrons are emitted depends on the intensity of incident light.
This is false. From $K_{\max} = h\nu - \phi$ maximum kinetic energy depends on frequency $\nu$ , not intensity.

C. Maximum kinetic energy with which photoelectrons are emitted depends on the frequency of incident light.
This is true.

D. The emission of photoelectrons require a minimum threshold intensity of incident radiation.
This is false. The requirement is threshold frequency, not threshold intensity. Even very low intensity light can cause emission if $\nu \ge \nu_0$ .

E. Maximum kinetic energy of the photoelectrons is independent of the frequency of the incident light.
This is false, since $K_{\max}$ directly depends on $\nu$ .
Identify correct statements

Correct statements are: $A \text{ and } C$
Match with options

Option D says: $A$ and $C$ only.

Therefore, the correct answer is D.

View written solutionFree

Correct answer: D

Use the basic laws of photoelectric effect

For incident light of frequency $\nu$ : $K_{\max} = h\nu - \phi$ where $h$ is Planck's constant and $\phi$ is the work function of the metal.

Also, photoelectric current depends on the number of photoelectrons emitted per second, which is related to the intensity of incident light (provided frequency is above threshold).
Check each statement

A. The photocurrent is proportional to the intensity of the incident radiation.
This is true. Higher intensity means more photons per second, hence more emitted electrons per second, so photocurrent increases.

B. Maximum kinetic energy with which photoelectrons are emitted depends on the intensity of incident light.
This is false. From $K_{\max} = h\nu - \phi$ maximum kinetic energy depends on frequency $\nu$ , not intensity.

C. Maximum kinetic energy with which photoelectrons are emitted depends on the frequency of incident light.
This is true.

D. The emission of photoelectrons require a minimum threshold intensity of incident radiation.
This is false. The requirement is threshold frequency, not threshold intensity. Even very low intensity light can cause emission if $\nu \ge \nu_0$ .

E. Maximum kinetic energy of the photoelectrons is independent of the frequency of the incident light.
This is false, since $K_{\max}$ directly depends on $\nu$ .
Identify correct statements

Correct statements are: $A \text{ and } C$
Match with options

Option D says: $A$ and $C$ only.

Therefore, the correct answer is D.