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Question: If travelling at same speeds, which of the following matter waves have the shortest wavelength?...

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

A

Electron

B

Alpha particle (He2+He^{2 +})

C

Neutron

D

Proton

Answer

Alpha particle (He2+He^{2 +})

Explanation

Solution

: λ=hmv\lambda = \frac{h}{mv}if v is same, then higher the value of m means lower will be the value of λ\lambda.

NameElectronProtonNeutron

α - particle

(He2+)

Mass/u0.000541.007271.008674.0026

Thus, α\alpha - particle has the largest mass i.e., shortest wavelength.