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his question has Statememtn-1 and Statement-2. Of the four choices given after the statements,

Question:

This question has Statememtn-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.

Statement-1 : A metallic surface is irradiated by a monochromatic light of frequency $v>v_{0}$ (the threshold frequency). The maximum kinetic energy and the stopping potential are $K_{\max }$ and $V_{0}$ respectively. If the frequency incident on the surface is doubled, both the $\mathrm{K}_{\max }$ and $\mathrm{V}_{0}$ are also doubled.

Statement-2 : The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.

  1. Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1

  2. Statement-1 is false, Statement-2 is true

  3. Statement-1 is true, Statement $-2$ is false

  4. Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of Statement-1

Correct Option: , 2

Solution:

$2 \mathrm{hv}=2 \mathrm{w}+2 \mathrm{ev}_{0} \Rightarrow \mathrm{h}(2 \mathrm{v})=\mathrm{w}+\left(2 \mathrm{ev}_{0}+\mathrm{w}\right) \Rightarrow \mathrm{K} \cdot \mathrm{E}_{\max }=\mathrm{ev}_{0}^{\prime}=\mathrm{w}+2 \mathrm{ev}_{0}$

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