Two identical photocathodes receive light of frequencies $\mathrm{f}_1$ and $\mathrm{f}_2$. If the…

Two identical photocathodes receive light of frequencies $\mathrm{f}_1$ and $\mathrm{f}_2$. If the velocities of the photo electrons (of mass $\mathrm{m}$ ) coming out are respectively $\mathrm{v}_1$ and $\mathrm{v}_2$, then
  1. $v_1^2-v_2^2=\frac{2 h}{m}\left(f_1-f_2\right)$
  2. $v_1+v_2=\left[\frac{2 h}{m}\left(f_1+f_2\right)\right]^{1 / 2}$
  3. $v_1^2+v_2^2=\frac{2 h}{m}\left(f_1+f_2\right)$
  4. $\mathrm{v}_1-\mathrm{v}_2=\left[\frac{2 h}{\mathrm{~m}}\left(\mathrm{f}_1-\mathrm{f}_2\right)\right]^{1 / 2}$

Solution

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Asked in: JEE Main 2003

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