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Q.

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

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a

Gamma rays

b

Beta rays

c

Alpha rays

d

all have same wavelength

answer is D.

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Detailed Solution

On the basis of dual nature of light, de-Broglie suggested that the dual nature is not only for 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=hp where h 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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