When wavelength of incident radiation on the metal surface is reduced… | MHT CET 2021 (23 Sep, Shift 1)

Q113MHT CET 2021 · 23 SEP · SHIFT 1Medium

Photoelectric Effect: Einstein's Equation

When wavelength of incident radiation on the metal surface is reduced from ' $\lambda_1$ ' to ' $\lambda_2$ ', the kinetic energy of emitted photoelectrons is tripled. The work function of metal [ $h =$ Plank's constant, $c =$ velocity of light]

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Answer: (b)

$K = \frac{hc}{\lambda_1} - \phi$ and $3K = \frac{hc}{\lambda_2} - \phi$ .
$\frac{3hc}{\lambda_1} - 3\phi = \frac{hc}{\lambda_2} - \phi \Rightarrow 2\phi = \frac{3hc}{\lambda_1} - \frac{hc}{\lambda_2}$
$\phi = \frac{hc}{2}\left[\frac{3\lambda_2 - \lambda_1}{\lambda_1\lambda_2}\right]$
So the answer is (b).

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Photoelectric Effect: Einstein's Equation question from MHT CET 2021 (23 Sep, Shift 1)

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