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MHT CET 2023 (9 May, Shift 1) · Photoelectric Effect: Einstein's Equation

Photoelectric Effect: Einstein's Equation question from MHT CET 2023 (9 May, Shift 1)

Q87MHT CET 2023 · 9 MAY · SHIFT 1Medium

Photoelectric Effect: Einstein's Equation

From a metallic surface photoelectric emission is observed for frequencies $v_1$ and $v_2\ (v_1 > v_2)$ of the incident light. The maximum values of the kinetic energy of the photoelectrons emitted in the two cases are in the ratio $1 : x$ . Hence the threshold frequency of the metallic surface is

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Answer: (c)

$K = h(v - v_0)$ , so $\frac{v_1 - v_0}{v_2 - v_0} = \frac{1}{x}$ .
$xv_1 - xv_0 = v_2 - v_0 \Rightarrow v_0(x - 1) = xv_1 - v_2$
So the answer is (c) $v_0 = \frac{xv_1 - v_2}{x - 1}$ .

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