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MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    A smooth sphere of mass m moving with velocity u directly collides elastically with another sphere of mass M at rest. After collision their final velocities are V and v respectively. The value of v is

    A) \[2u\frac{M}{m}\]                                          

    B) \[2u\frac{m}{M}\]

    C)  \[\frac{2u}{1+\frac{m}{M}}\]                                    

    D)  \[\frac{2u}{1+\frac{M}{m}}\]

    Correct Answer: D

    Solution :

                     Velocity of sphere\[v=\left[ \frac{M-m}{M+m} \right]u'+\frac{2mu}{m+M}\] Before collision, sphere of mass M remain at rest. Therefore\[u'=0\] \[v=\frac{2mu}{m+M}=\frac{2u}{1+\frac{M}{m}}\]


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