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

A proton and an a-particle are accelerated from rest by 2 V and 4 V potentials, respectively. The ratio of their de-Broglie wavelength is:

A
8 : 1
B
2 : 1
C
4 : 1
D
16 : 1

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Verified by Experts
The correct answer is:
C

The formula to calculate the de Broglie wavelength of the proton is given by

The formula to calculate the de Broglie wavelength of the alpha particle is given by

Divide equation by equation and simplify to obtain the required ratio.

Substitute the values of the known parameters into equation to calculate the required ratio.

= 4 : 1

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