Question

Direction : The question has Statement 1 and Statement 2. Of the four choices given after the statements, choose the one that 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 $K_{max}$ and $V_0$ 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.

• A. Statement 1 is True, Statement 2 is False.
• B. Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanation for Statement 1.
• C. Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1.
• D. Statement 1 is False, Statement 2 is True.

Answer 1

Answer: (D)

Statement 1 is False, Statement 2 is True.

$K{E}_{max}=h\mu -h{\mu }_0$
$e\times \Delta v=h\mu -h{\mu }_0$
$V_0=\frac{h\mu }{e}-\frac{h{\mu }_0}{e}$
${}^{\prime }{\mu }^{\prime }$ is doubled
$K{E}_{max}=2h\mu -h{\mu }_0$
$V_0^{\prime }=(\Delta V{)}^{\prime }=\frac{2h\mu }{e}-\frac{h{\mu }_0}{e}$
$\frac{V_0^{\prime }}{V_0}$ may not be equal to 2
$V=\frac{h\mu }{e}-\frac{h{\mu }_0}{e}$

So, the answer is option (D).