Physics Electron, Photon, Photoelectric Effect and X-rays JEE Main 2023 - ( Dual Nature of Matter ) MCQ (Single Correct)

Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, m p = 1849 m e )

A
1 : 1
B
1: 1849
C
1 : 43
D
43 : 1

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Verified by Experts
The correct answer is:
A

The De Broglie wavelength is

The momentum is given by p = mv

The momentum of proton is p p = m p v p

The momentum of electron is p' = m e v e

Since h is the Planck's constant and it is given that both wavelengths are same, i.e.

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