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NEET Sample Paper NEET Sample Test Paper-65

  • question_answer
    A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to \[{{F}_{0}}\] linearly of time\[T/2\], and decreases linearly to zero in further time\[T/2\]. The magnitude of \[{{F}_{0}}\] is   

    A) \[mu/T~\]                     

    B) \[2mu/T\]

    C) \[mu/T\]                        

    D) none of these              

    Correct Answer: B

    Solution :

    In elastic one-dimensional collision particle rebounds with same speed in opposite direction i.e., change in momentum \[=\text{ }2\,\,mu\] But impulse \[=\text{ }F\times T\text{ }=\] change in momentum, \[\Rightarrow \,\,{{F}_{0}}\times T=2mu\,\,\Rightarrow \,\,{{F}_{0}}=\frac{2mu}{T}\]


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