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

Options

A. None, all have same wavelength
B. Alpha rays
C. Beta Rays
D. Gamma rays

Answer

A

Explanation

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
`lambda = (h)/(p)`
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 .