Given below are two statements: one is labelled as Assertion A and...

Given below are two statements: one is labelled as Assertion

\mathbf{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:

Options

ABoth $\mathbf{A}$ and $\mathbf{R}$ are correct and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$ .
BBoth $\mathbf{A}$ and $\mathbf{R}$ are correct and $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$ .
C $\mathbf{A}$ is not correct but $\mathbf{R}$ is correct.
D $\mathbf{A}$ is correct but $\mathbf{R}$ is not correct.

Correct answer

C. $\mathbf{A}$ is not correct but $\mathbf{R}$ is correct.

Step-by-step solution

Intensity of light

\mathrm{I}=\frac{\mathrm{nh} \nu}{\mathrm{A}}

Here

\mathrm{n}

is no. of photons per unit time.

\mathrm{n}=\frac{\mathrm{IA}}{\mathrm{h} \nu}

so on increasing frequency

v, \mathrm{n}

decreases taking intensity constant.

\mathrm{k}_{\max }=\mathrm{h} v-\phi

So on increasing

v

, kinetic energy increases.

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