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Matter Waves: de Broglie Wavelength question from NEET 2021

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Matter Waves: de Broglie Wavelength

An electromagnetic wave of wavelength ' $\lambda$ ' is incident on a photosensitive surface of negligible work function. If 'm' mass is of photoelectron emitted from the surface has de-Broglie wavelength $\lambda$ d, then:

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Answer: (d)

Negligible work function: $\dfrac{hc}{\lambda} = \dfrac{p^2}{2m}$ with $p = \dfrac{h}{\lambda_d}$ .
$\dfrac{hc}{\lambda} = \dfrac{h^2}{2m\lambda_d^2} \Rightarrow \lambda = \left(\dfrac{2mc}{h}\right)\lambda_d^2$
So the answer is (d).

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