JEE Main 2023 · 24 January · morning · Single correct · +4 / −1

From the photoelectric effect experiment, following observations are made. Identify which of these are correct.
A. The stopping potential depends only on the work function of the metal.
B. The saturation current increases as the intensity of incident light increases.
C. The maximum kinetic energy of a photo electron depends on the intensity of the incident light.
D. Photoelectric effect can be explained using wave theory of light.
Choose the correct answer from the options given below :

  1. (a) A, B, D only
  2. (b) A, C, D only
  3. (c) B, C only
  4. (d) B only
Answer and solution

Answer (d) B only

Solution

Physics sir · 2 steps

Intensity decides how many electrons come out, frequency decides how fast. Test each statement against that.

  1. Einstein's equation. One photon gives its energy hν to one electron. The fastest electron leaves with whatever is left after paying the work function, and the stopping potential V₀ is just enough to stop it.

    eV₀ = Kₘₐₓ = hν - φ₀

    StatementCheckVerdict
    AV₀ depends on ν as well as φ₀, so not on the work function onlywrong
    BMore intensity means more photons per second, so more electrons per second and a larger saturation currentcorrect
    CKₘₐₓ = hν - φ₀ has no intensity term in itwrong
    DWave theory cannot explain the threshold frequency, the instant emission, or why Kₘₐₓ does not depend on intensitywrong
  2. So. Only statement B is correct, which is option (d).

The idea to keep. In the photoelectric effect, intensity controls the number of photoelectrons and so the current. Frequency and work function control Kₘₐₓ and the stopping potential.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Dual Nature of Radiation & Matter

Asked about 150 times in JEE Main since 2020. This question is from 2023.