Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Number of photons increases with increase in frequency of light. Reason R: Maximum kinetic energy of emitted electrons increases with the frequency of incident radiation. In the light of the above statements, choose the most appropriate answer from the options given below:

We need to evaluate the Assertion and Reason about photons and the photoelectric effect.

Assertion A: "Number of photons increases with increase in frequency of light."

The energy of each photon is $$E = h\nu$$. For a light source of constant power $$P$$, the number of photons per second is $$N = \frac{P}{h\nu}$$. As $$\nu$$ increases, each photon carries more energy, so fewer photons are emitted for the same power. Therefore, A is incorrect.

Reason R: "Maximum kinetic energy of emitted electrons increases with the frequency of incident radiation."

By Einstein's photoelectric equation: $$KE_{\max} = h\nu - \phi$$. This shows $$KE_{\max}$$ increases linearly with $$\nu$$. Therefore, R is correct.

The correct answer is Option (3): A is not correct but R is correct.