A light of wavelength λ is incident on a photosensitive surface of… | MHT CET 2025 (20 Apr, Shift 2)

Q36MHT CET 2025 · 20 APR · SHIFT 2Medium

Matter Waves: de Broglie Wavelength

A light of wavelength $\lambda$ is incident on a photosensitive surface of negligible work function. The photoelectrons emitted from the surface have de-Broglie wavelength $\lambda_1$ . Then ratio $\lambda : \lambda_1^{\,2}$ is ( $\mathrm{h} =$ Planck's constant, $\mathrm{c} =$ velocity of light, $\mathrm{m} =$ mass of electron)

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Answer: (c)

Negligible work function: $\dfrac{hc}{\lambda} = \dfrac{p^2}{2m} = \dfrac{h^2}{2m\lambda_1^2}$ .
$\lambda = \dfrac{2mc}{h}\lambda_1^2 \Rightarrow \dfrac{\lambda}{\lambda_1^2} = \dfrac{2mc}{h}$
So the answer is (c) $2mc : h$ .

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