In a photoelectric experiment, a graph is drawn with stopping potential along $\mathrm{Y}$-axis and the…

In a photoelectric experiment, a graph is drawn with stopping potential along $\mathrm{Y}$-axis and the frequency of the incident light along $\mathrm{X}$-axis. If the graph is a straight line which makes an angle $\theta$ with Y-axis, then $\tan \theta=$ (h-planck's constant, e-charge of electron)
  1. $\frac{\mathrm{h}}{\mathrm{e}}$
  2. $\frac{\mathrm{e}}{\mathrm{h}}$
  3. $\sqrt{\frac{\mathrm{h}}{\mathrm{e}}}$
  4. $\sqrt{\frac{\mathrm{e}}{\mathrm{h}}}$

Solution

From the photoelectric equation $\begin{aligned} & \mathrm{eV}_{\mathrm{s}}=\mathrm{hv}-\phi \\ & \mathrm{V}_{\mathrm{s}}=\frac{\mathrm{hv}}{\mathrm{e}}-\frac{\phi}{\mathrm{e}}\end{aligned}$ By compairing above equation with $\mathrm{y}=\mathrm{mx}+\mathrm{c}$ slope $=\mathrm{m}=\tan \theta=\frac{\mathrm{h}}{\mathrm{e}}$

Asked in: AP EAMCET 2023 (17 May Shift 2)

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