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

Options

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

Answer

d

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 to 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 Plank's constant.
Since, it is given that,alpha,beta and gamma rays cany same momemtum, so they will have same wavelength.