If `U^(238)` nucleus at rest decays by emitting an alpha particle with a speed of V m/s. The recoil speed of residual nucleus in m//s is:

Options

A. `(-V)/(4)`
B. `-Vxx(4)/(238)`
C. `-Vxx(4)/(234)`
D. `V(4)/(234)`

Answer

c

Explanation

Initial momentum = Final momentum
`0 = m_(1)upsilon_(1) + m_(2)upsilon_(2)`
` 0 = (4 amu) V+ (234 amu) nu_(2)`
`impliesupsilon_(2)=(-4)/(234)Vm//s`
Hence the correct choice is (d).