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NEET Sample Paper NEET Sample Test Paper-16

  • question_answer
    A particle of mass m moving with a velocity u makes an elastic one dimensional collision with a stationary particle of mass m establishing a contact with it for an extremely small time T. Their force of contact increases from 0to\[{{F}_{0}}\]linearly in time\[T/4,\] remains constant for a further time\[T/2\]and decreases linearly from\[{{F}_{0}}\]to 0 in further time \[T/4\] as shown in the figure. The magnitude possessed by\[{{F}_{0}}\] is

    A) \[\frac{mu}{T}\]                                

    B) \[\frac{2mu}{T}\]      

    C)      \[\frac{4mu}{3T}\]    

    D)      \[\frac{3mu}{4T}\]  

    Correct Answer: C

    Solution :

    Change in momentum = Impulse. = Area under force - time graph. \[\therefore \]mv = Area of trapezium \[=\frac{1}{2}\left( T+\frac{T}{2} \right){{F}_{0}}\]or \[mv=\frac{3T{{F}_{0}}}{4}\] or \[{{F}_{0}}=\frac{4mv}{3T}\] Hence, the correction option is (c).            


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