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Question 17

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:

Solution

Evaluate each statement about the photoelectric effect:

Statement A: The stopping potential depends only on the work function of the metal.

From Einstein's equation: $$eV_0 = h\nu - \phi$$. The stopping potential depends on both the frequency of incident light ($$\nu$$) and the work function ($$\phi$$). It does NOT depend only on the work function. Statement A is incorrect.

Statement B: The saturation current increases as the intensity of incident light increases.

Higher intensity means more photons per second, which means more photoelectrons are emitted, leading to a higher saturation current. Statement B is correct.

Statement C: The maximum kinetic energy of a photoelectron depends on the intensity of the incident light.

The maximum kinetic energy $$KE_{max} = h\nu - \phi$$ depends on frequency, not intensity. Increasing intensity increases the number of electrons but not their maximum energy. Statement C is incorrect.

Statement D: Photoelectric effect can be explained using the wave theory of light.

The wave theory fails to explain key features of the photoelectric effect (instantaneous emission, frequency threshold, independence of $$KE_{max}$$ from intensity). It requires the particle (quantum) theory. Statement D is incorrect.

Only Statement B is correct, which corresponds to Option 3.

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