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MHT CET 2020 (16 Oct, Shift 2) · Photoelectric Effect: Einstein's Equation

Photoelectric Effect: Einstein's Equation question from MHT CET 2020 (16 Oct, Shift 2)

Q119MHT CET 2020 · 16 OCT · SHIFT 2Easy

Photoelectric Effect: Einstein's Equation

The light of wavelength $\lambda$ incident on the surface of metal having work function $\phi$ emits the electrons. The maximum velocity of electrons emitted is [ $c =$ velocity of light, $h =$ Planck's constant, $m =$ mass of electron]

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Answer: (b)

$\frac{1}{2}mv_{max}^2 = \frac{hc}{\lambda} - \phi = \frac{hc - \lambda\phi}{\lambda}$
$v_{max} = \left[\frac{2(hc - \lambda\phi)}{m\lambda}\right]^{1/2}$
So the answer is (b).

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