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An electron, proton and an alpha particle all have the same kinetic energy. The de-Broglie wavelength is 

(1) shortest for the electron 

(2) shortest for the proton 

(3) shortest for the alpha particle 

(4) are in the ratio of masses of electron proton and alpha particle 

1 Answer

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Correct option : (3) shortest for the alpha particle

Explanation :

The kinetic energy of a particle is

where p = mv, the momentum of the particle and is given by p = √2m E

From the electron, proton and alpha particle, the alpha particle is the heaviest. Hence it will have the shortest deBroglie wavelength.

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