Q.

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

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a

Proton

b

Neutron

c

Alpha particle (He2+)

d

Electron

answer is B.

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Detailed Solution

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According to de-Broglie equation,

λ=hmv

For the same speed of different particles, this implies v is constant and h is also constant.

λ1m

Higher is the mass of matter waves, lesser is the wavelength, and vice-versa. In these matter waves, an alpha particle (He2+) has a higher mass, and therefore has the shortest wavelength.

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