Question:

Given below are two statements :
Statement I: Stopping potential in photoelectric effect does not depend on the power of the light source
Statement II: For a given metal, the maximum kinetic energy of the photoelectron depends on the wavelength of the incident light.
In the light of above statements, choose the most appropriate answer from the options given below

Updated On: Mar 19, 2025
  • Both Statement I and Statement II are incorrect
  • Statement I is correct but statement II is incorrect
  • Both Statement I and statement II are correct
  • Statement I is incorrect but statement II is correct
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Approach Solution - 1

Stopping potential

Stopping potential does not depend on intensity or power of light used, it only depends on frequency or wavelength of incident light.
So both statements I and II are correct
Was this answer helpful?
2
0
Hide Solution
collegedunia
Verified By Collegedunia

Approach Solution -2

Statement I: True. The stopping potential in the photoelectric effect depends on the frequency (or wavelength) of the light, rather than its intensity or power.
Statement II: True. The maximum kinetic energy of the emitted photoelectrons is given by the equation: \[ KE_{\text{max}} = \frac{hc}{\lambda} - \phi \] where \( \lambda \) is the wavelength of the incident light and \( \phi \) is the work function of the metal.
Both statements are accurate and correctly reflect the principles of the photoelectric effect.
Was this answer helpful?
0
0

Concepts Used:

Photoelectric Effect

When light shines on a metal, electrons can be ejected from the surface of the metal in a phenomenon known as the photoelectric effect. This process is also often referred to as photoemission, and the electrons that are ejected from the metal are called photoelectrons.

Photoelectric Effect Formula:

According to Einstein’s explanation of the photoelectric effect :

The energy of photon = energy needed to remove an electron + kinetic energy of the emitted electron

i.e. hν = W + E

Where,

  • h is Planck’s constant.
  • ν is the frequency of the incident photon.
  • W is a work function.
  • E is the maximum kinetic energy of ejected electrons: 1/2 mv².

Laws of Photoelectric Effect:

  1. The photoelectric current is in direct proportion to the intensity of light, for a light of any given frequency; (γ > γ Th).
  2. There exists a certain minimum (energy) frequency for a given material, called threshold frequency, below which the discharge of photoelectrons stops completely, irrespective of how high the intensity of incident light is.
  3. The maximum kinetic energy of the photoelectrons increases with the increase in the frequency (provided frequency γ > γ Th exceeds the threshold limit) of the incident light. The maximum kinetic energy is free from the intensity of light. 
  4. The process of photo-emission is an instantaneous process.