A) \[\frac{M-m}{M}u\]
B) \[\frac{m}{M+m}u\]
C) \[\frac{2m}{M+m}u\]
D) \[\frac{M}{M+m}u\]
Correct Answer: A
Solution :
From law of conservation of momentum \[{{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}={{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}\] \[\Rightarrow \] \[Mu+m\times 0=Mv+Mu\] \[\Rightarrow \] \[v=\frac{M-m}{M}u\]
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