Two incident radiations having energies two times and ten times of the work function of a metal surface,…

Two incident radiations having energies two times and ten times of the work function of a metal surface, produce photoelectric effect. The ratio of maximum velocities of emitted photo electrons respectively is
  1. $3: 2$
  2. $1: 3$
  3. $2: 3$
  4. $1: 2$

Solution

$\frac{1}{2} m v_{1}^{2}=2 \phi_{0}-\phi_{0}$ $\frac{1}{2} m v_{2}^{2}=10 \phi_{0}-\phi_{0}$ $\frac{v_{1}^{2}}{v_{2}^{2}}=\frac{1}{9}$ $\therefore \frac{v_{1}}{v_{2}}=\frac{1}{3}$

Asked in: MHT CET 2020 (20 Oct Shift 2)

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