Two identical photocathodes receive the light of frequencies \( f_{1} \) and \( f_{2} \) respect...

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Two identical photocathodes receive the light of frequencies \( f_{1} \) and \( f_{2} \) respectively. If the velocities
\( \mathrm{P} \)
of the photo-electrons coming out are \( v_{1} \) and \( v_{2} \)
W
respectively, then
(1) \( v_{1}^{2}-v_{2}^{2}=\frac{2 h}{m}\left[f_{1}-f_{2}\right] \)
(2) \( v_{1}^{2}+v_{2}^{2}=\frac{2 h}{m}\left[f_{1}+f_{2}\right] \)
(3) \( v_{1}+v_{2}=\left[\frac{2 h}{m}\left(f_{1}+f_{2}\right)\right]^{\frac{1}{2}} \)
(4) \( v_{1}-v_{2}=\left[\frac{2 h}{m}\left(f_{1}-f_{2}\right)\right]^{\frac{1}{2}} \)
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