Answer:
Option D
Explanation:
The energy difference between two sates is given as,
$\triangle E=E_{2}-E_{1}=\frac{-13.6}{2^{2}}-(\frac{-13.6}{1^{2}})$
$\Rightarrow$ $\triangle E=\frac{13.6}{1^{2}}-\frac{13.6}{2^{2}}$
$\Rightarrow$ $\triangle E=13.6\left[\frac{4-1}{4}\right]=13.6 \times\frac{3}{4}$
$\therefore$ $\triangle E$= 10.2 e V
Since , the energy is radiated in form of photons, so we have
Energy of photons =hv =10.2 eV
From Einstein 's photoelectric equation, we have
$hv=\phi_{0}+eV_{s}$
Substituting the given values.
$\therefore$ 10.2 eV=4.2e V+e$V_{s}$
$\Rightarrow$ 6eV=eVs
$\therefore$ $V_{s}$= 6 V