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Question: Answered & Verified by Expert
In an experiment to study photoelectric effect the observed variation of stopping potential with frequency of incident radiation is as shown in the figure. The slope and $y$-intercept are respectively
PhysicsDual Nature of MatterKCETKCET 2023
Options:
  • A $\frac{h}{e},-\frac{h v_0}{e}$
  • B $\frac{h v}{e}, v_0$
  • C $\frac{h v}{e},-\frac{h}{e}$
  • D $h v_1-h v_0$
Solution:
1738 Upvotes Verified Answer
The correct answer is: $\frac{h}{e},-\frac{h v_0}{e}$
The maximum kinetic energy of emitted
photoelectrons is given as

$\begin{array}{ll}\Rightarrow & e V_0=h v-\phi_0 \\ \Rightarrow & V_0=\left(\frac{h}{e}\right) v-\frac{\phi_0}{e}\end{array}$
Comparing with $y=m x+c$, we get
$\begin{aligned} \quad m & =\frac{h}{e} \text { and } c=-\frac{\phi_0}{e}=-\frac{h v_0}{e} \\ \therefore \text { Slope } & =m=\frac{h}{e}\end{aligned}$

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