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MHT CET 2023 (9 May, Shift 2) · Photoelectric Effect: Einstein's Equation

Photoelectric Effect: Einstein's Equation question from MHT CET 2023 (9 May, Shift 2)

Q77MHT CET 2023 · 9 MAY · SHIFT 2Easy

Photoelectric Effect: Einstein's Equation

When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are $v_1$ and $v_2$ respectively. The ratio $v_1 : v_2$ is

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Answer: (d)

$v \propto \sqrt{E - W}$
$K_1 = 2W - W = W$ , $K_2 = 3W - W = 2W$
$\frac{v_1}{v_2} = \sqrt{\frac{W}{2W}} = \frac{1}{\sqrt{2}}$
So the answer is (d) $1 : \sqrt{2}$ .

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