A nucleus of mass M is initially at rest.It absorb neutron having `m_(N)` rest mass compound nucleus divided in two nucleus of `m_(1)` and 5 `m_(1)`.If wavelength of nucleus with mass `m_(1)` is `lambda`,then wavelength of other nucleus will be…..

Options

A. `25 lambda`
B. `5 lambda`
C. `(lambda)/(5)`
D. `lambda`

Answer

D

Explanation

From law of conservation of linear momentum ,
`therefore vecp_(1)+vecp_(2)=0 therefore vecp_(1)=-vecp_(2)`
`therefore` Taking only magnitude `p_(1)=p_(2)`
Taking `lambda_(1)=lambda`
`therefore (h)/(lambda_(1))=(h)/(lambda_(2))`
`therefore lambda_(2)=lambda_(1)`
`therefore lambda_(2)=lambda`