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
Concept. $K_{max}=h\nu-\phi$ and $eV_0=K_{max}$: both are linear in $\nu$ but not proportional to it, because of the $-\phi$ term.
Step 1. Statement I. Doubling $\nu$ gives $2h\nu-\phi$, which is more than double $h\nu-\phi$: false.
Step 2. Statement II. Linear dependence: true.
Answer. Statement I false, Statement II true (Option D).
Solution by Sreeraj P, M.Sc Physics
