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It travelling at same speeds, which of t...

It travelling at same speeds, which of the following matter waves have the shortest wavelength?

A

Electron

B

Alpha particle `(He^(2+))`

C

Neutron

D

Proton

Text Solution

Verified by Experts

The correct Answer is:
B
From de-Broglie equation,
wavelength, `lamda=h/(mv)`
For same speed of different particles, i.e., electron proton, neutron and `alpha`-particle,
`lamdaprop1/m`
As h is constant, greater the mass of matter waves, lesser is wavelength and vice-versa. In these matter waves, alpha particle `(He^(2+))` has higher mass, therefore, shortest wavelength.
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