1. Tardigrade
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  4. The stopping potential for photoelect ons from a metal surface is V1 when monochromatic light of frequency v1 is incident on it. The stopping potential becomes V2 when monochromatic light of another frequency is incident on the same metal surface. If h be the Planck’s constant and e be the charge of an electron, then the frequency of light in the second case is

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Q. The stopping potential for photoelect ons from a metal surface is $V_1$ when monochromatic light of frequency $v_1$ is incident on it. The stopping potential becomes $V_2$ when monochromatic light of another frequency is incident on the same metal surface. If $h$ be the Planck’s constant and $e$ be the charge of an electron, then the frequency of light in the second case is

WBJEEWBJEE 2013Dual Nature of Radiation and Matter

Solution:

Here, $h v_{1}=\phi_{0}=e V_{1} .... (i) $
and $h v_{2}=\phi_{0}+e V_{2}$..... (ii)
From Eqs. (i) and (ii), we have $h\left( v _{2}- v _{1}\right)= e \left(V_{2}-V_{1}\right)$
$\Rightarrow v_{2}=\frac{e}{h}\left(V_{2}-V_{1}\right)+v_{1}$