A) \[3{{v}_{1}}\]
B) \[{{v}_{1}}\]
C) \[-{{v}_{1}}\]
D) \[0\]
Correct Answer: B
Solution :
For elastic collision \[{{v}_{2}}=\left( \frac{{{m}_{2}}-{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}} \right){{u}_{2}}+\frac{2{{m}_{1}}{{u}_{1}}}{{{m}_{1}}+{{m}_{2}}}\] Because another body is initially at rest i.e., \[{{u}_{2}}=0\] Velocity of the second particle \[{{v}_{2}}=\frac{2{{m}_{1}}{{v}_{1}}}{2{{m}_{1}}}\] \[\left( \begin{align} & \because \,{{u}_{1}}={{v}_{1}} \\ & {{m}_{2}}={{m}_{1}} \\ \end{align} \right)\] \[{{v}_{2}}={{v}_{1}}\]
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