First slide

Photo Electric Effect

Question

Two identical photo cathodes receive light of frequencies f₁ and f₂ If the velocities of the photo electrons (of mass m) coming out are respectively v₁ and v₂,then

Moderate

A

${v_{1}}^{2} - v_{2}^{2} = \frac{2 h}{m} (v_{1} - v_{2})$
B

$v_{1} + v_{2} = {[\frac{2 h}{m} (v_{1} + v_{2})]}^{1 / 2}$
C

${v_{1}}^{2} + {v_{2}}^{2} = \frac{2 h}{m} (v_{1} + v_{2})$
D

$v_{1} - v_{2} = {[\frac{2 h}{m} (v_{1} - v_{2})]}^{1 / 2}$

Solution

$hv = {hv}_{0} + \frac{1}{2} {mv}^{2} v_{1}^{2} = \frac{2 {hv}_{1}}{m} - \frac{2 {hv}_{0}}{m} and v_{2}^{2} = \frac{2 {hv}_{2}}{m} - \frac{2 {hv}_{0}}{m} v_{1}^{2} - v_{2}^{2} = \frac{2 h}{m} [v_{1} - v_{2}]$

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