The speed of daugther nuclei is

Options

A. `c sqrt((2Deltam)/(M))`
B. `c sqrt((Deltam)/M)`
C. `c sqrt((Deltam)/(M+Deltam))`
D. `c (Deltam)/(M+Deltam)`

Answer

A

Explanation

K.E. of daugther nucleus of mass M moving with velocity `v=1/2Mv^(2)`.
Energy released due to decreases in mass `Deltam` of parent nucleus =`Deltamc^(2)`.
`:. 1/2Mv^(2)=Deltamc^(2) or v=sqrt((2Deltamc^(2))/M)= c sqrt((2Deltam)/M)`