Step 1: Understanding the concept.
The stopping potential in the photoelectric effect depends on the energy of the incident light, which is directly related to its frequency. The stopping potential is the minimum voltage required to stop the ejected photoelectrons, and it is independent of the light's intensity but depends on the energy (frequency) of the photons.
Step 2: Analyzing the options.
(1) Intensity of incident light: This is incorrect. The stopping potential does not depend on the intensity of light, but rather on its energy.
(2) Energy of incident light: Correct. The energy of the incident light determines the kinetic energy of the ejected electrons and thus the stopping potential.
(3) Surface area of the metal: This is incorrect. The surface area of the metal does not affect the stopping potential.
(4) Independent of intensity of incident light: This is incorrect. While the stopping potential does not depend on intensity, it does depend on the energy of the incident light.
Step 3: Conclusion.
The correct answer is (2) Energy of incident light, as the stopping potential depends on the energy (or frequency) of the incident photons.