In photoelectric effect, the stopping potential $\left(\mathrm{V}_0\right) \mathrm{v} / \mathrm{s}$…

In photoelectric effect, the stopping potential $\left(\mathrm{V}_0\right) \mathrm{v} / \mathrm{s}$ frequency $(\nu)$ curve is plotted.
( h is the Planck's constant and $\phi_0$ is work function of metal)
(A) $\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu$ is linear.
(B) The slope of $\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu$ curve $=\frac{\phi_0}{\mathrm{~h}}$
(C) h constant is related to the slope of $\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu$ line.
(D) The value of electric charge of electron is not required to determine $h$ using the $V_0 \mathrm{v} / \mathrm{s} \nu$ curve.
(E) The work function can be estimated without knowing the value of $h$.
Choose the correct answer from the options given below :
  1. (C) and (D) only
  2. (A), (C) and (E) only
  3. (A), (B) and (C) only
  4. (D) and (E) only

Solution

$\begin{aligned}
& \mathrm{hv}=\phi+\mathrm{KE}_{\max } \\ & \mathrm{KE}_{\max }=\mathrm{eV}_0 \\ & \mathrm{~V}_0=\frac{\mathrm{hv}-\phi}{\mathrm{e}}
\end{aligned}$
(A) $\mathrm{V}_0 \mathrm{v} / \mathrm{s} \mathrm{V}$ is linear correct
(B) Slope
$\mathrm{v}_0=\left(\frac{\mathrm{h}}{\mathrm{e}}\right) \mathrm{v}-\frac{\phi}{\mathrm{e}} \text { Wrong }$
Slope $\frac{h}{e}$
(C) Correct
(D) Incorrect
(E) Correct

Asked in: JEE Main 2025 (24 Jan Shift 2)

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