A) 6 m/s, 12 m/s
B) 12 m/s, 6 m/s
C) 12 m/s, 10 m/s
D) 12 m/s, 25 m/s
Correct Answer: A
Solution :
\[{{v}_{1}}=\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)\,{{u}_{1}}+\left( \frac{2{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)\,{{u}_{2}}\] and \[{{v}_{2}}=\left( \frac{2{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}} \right)\,{{u}_{1}}+\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)\,{{u}_{2}}\] on putting the values \[{{v}_{1}}=6\,m/s\] and \[{{v}_{2}}=12\,m/s\]
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