First slide

Quantum Theory of Light

Question

If alpha, beta and gamma rays carry same momentum, which has the longest wavelength?

Easy

A

None, all have same wavelength
B

Alpha rays
C

Beta rays
D

Gamma rays

Solution

On the basis of dual nature of light, Lious de-Broglie suggested that the dual nature is not only of light, but each moving material particle has the dual nature. He assumed a wave to be associated with each moving material particle which is called the matter wave. The wavelength of this wave is determined by the momentum of the particle. If p is the momentum of the particle, the wavelength of the wave associated with it is $λ = \frac{h}{p}$ where ft is Planck's constant. Since it is given that alpha, beta and gamma rays have same momentum, so they will have same wavelength.

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