Statement I: A metallic surface is irradiated by a monochromatic light of frequency $\nu > \nu_0$ (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 $K_{max}$ and $V_0$ are also doubled.
Statement II: The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.
Answer: (D) Statement I is false, Statement II is true
$K_{max} = eV_0 = h\nu - \phi$. Both depend linearly on $\nu$, so Statement II is true.
But the dependence is linear, not proportional: doubling $\nu$ gives $2h\nu - \phi$, which is more than double $h\nu - \phi$. So Statement I is false.
Solution by Sreeraj P, M.Sc Physics