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

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Solution

Q.
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: [2024]

1 Both A and R are correct and R is not the correct explanation of A.

2 Both A and R are correct and R is the correct explanation of A.

3 A is correct, but R is not correct.

4 A is not correct, but R is correct.

Ans.
(4)

Intensity of light $I = \frac{n h ν}{A}$ , Here $v$ is no. of photons per unit time.

$n = \frac{I A}{h ν}$ , so on increasing frequency $v,$ $n$ decreases taking intensity constant. Number of photons remains unchanged with increase in frequency.

   $k_{\max} = h ν - ϕ$

  So on increasing $v$ , kinetic energy increases.

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