A) \[\frac{A-4}{4v}\]
B) \[\frac{4v}{A-4}\]
C) \[v\]
D) \[\frac{v}{4}\]
Correct Answer: B
Solution :
: According to law of conservation of linear momentum, \[0={{m}_{D}}{{v}_{D}}+{{m}_{\alpha }}{{v}_{\alpha }}\] where subscripts D and a represent daughter nucleus and a-particle respectively. \[0=(A-4){{v}_{D}}+4v\] \[{{v}_{D}}=-\frac{4v}{(A-4)}\] Negative sign shows the recoil of the daughter nucleus.
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