The maximum velocity of the photoelectron emitted by the metal surface is $v$, charge and mass of the…

The maximum velocity of the photoelectron emitted by the metal surface is $v$, charge and mass of the photoelectron are denoted by $e$ and $m$ respectively. The stopping potential in volt is
  1. $\frac{v^2 e}{m}$
  2. $\frac{v^2 m}{2 e}$
  3. $\frac{v^2 m}{e}$
  4. $\frac{v^2 e}{2 m}$

Solution

We have, potential energy to stop the fastest moving electrons is equal to the kinetic energy: $\frac{1}{2} m v^2=e V$ $V$ is the stopping potential $\therefore V=\frac{v^2 m}{2 e}$ .

Asked in: MHT CET 2022 (10 Aug Shift 1)

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