NEET2021Physics-Dual Nature of Radiation and Matter

NEET 2021 Physics Photoelectric Effect MCQ Question

Type: MCQ-numerical-Hard-Class 12

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

A

λ=(2mhc)λe2λ = \left( \frac{2m}{hc} \right) λₑ^2

B

λe=2mchλ2λₑ = \frac{2mc}{h} λ^2

C

λ=(2mch)λe2λ = \left( \frac{2mc}{h} \right) λₑ^2

D

λ=(2hmc)λe2λ = \left( \frac{2h}{mc} \right) λₑ^2

Correct Answer

Option C

Detailed Explanation

The de-Broglie wavelength of the photoelectron is given by λe=hmvλₑ = \frac{h}{mv}. Using energy conservation, λe=2mchλ2λₑ = \frac{2mc}{h} λ^2.

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