Q. 16 II.3.9( 8 Votes )

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

B. An alpha particle (He2+)

C. Neutron

D. Proton

Answer :

o According to de-Broglie, where is the wavelength of a material particle, m is the mass and v is the velocity of the particle having dual nature, his plank’s constant.

o Hence, the wavelength is directly related to the mass of a particle and the relation is inversely proportional; i.e. greater the mass shorter will be the wavelength. And amongst the given particles the alpha particle has the greatest mass, therefore, it will have the shortest wavelength.

Other 3 options (i) Electron (iii) Neutron

(iv) Proton are incorrect.

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