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Q.

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

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a

None, all have same wavelength

b

Alpha rays

c

Beta rays

d

Gamma rays

answer is A.

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Detailed 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=hp 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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