question_answer

A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be [CPMT 1999]

A)          v   

B)          2v

C)          \[\frac{3}{4}v\]            

D)          \[\frac{4}{3}v\]

Correct Answer: D

Solution :

  According to conservation of momentum \[mv=\left( \frac{m}{4} \right)\ {{v}_{1}}+\left( \frac{3m}{4} \right)\ {{v}_{2}}\]Þ \[{{v}_{2}}=\frac{4}{3}v\]