If and be threshold wavelength and wavelength of incident light, the velocity of photoelectrons ejected from the metal surface is :

Question

If $λ_{0}$ and $λ$ be threshold wavelength and wavelength of incident light, the velocity of photoelectrons ejected from the metal surface is :

Smart Achievers · Accepted Answer

(3)

$\frac{h c}{λ} = \frac{h c}{λ_{0}} + \frac{1}{2} m v^{2}$

$\frac{1}{2} m v^{2} = \frac{h c}{λ} - \frac{h c}{λ_{0}}$

$m v^{2} = 2 c h [\frac{1}{λ} - \frac{1}{λ_{0}}]$

$v^{2} = \frac{2 h c}{m} [\frac{λ_{0} - λ}{λ λ_{0}}]$

$v = \sqrt{\frac{2 h c}{m} [\frac{λ_{0} - λ}{λ λ_{0}}]}$

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