JEE Main & Advanced Physics Rotational Motion Question Bank Mock Test - Centre of Mass, Conservation of Linear Momentum and Collisions

  • question_answer
    A ball is projected in a direction inclined to the vertical and bounces on a smooth horizontal plane. The range of one rebound is\[R\]. If the coefficient of restitution is \[e\], then range of the next rebound is

    A) \[R'=eR\]         

    B) \[R'={{e}^{2}}R\]

    C) \[R'=\frac{R}{e}\]        

    D) \[R'=R\]

    Correct Answer: A

    Solution :

    [a]\[R=\frac{2u\cos \theta .u\sin \theta }{g}\] After impact horizontal component remains the same = u \[\cos \theta \] The vertical component becomes \[V=e(\sin \theta )\] New range \[{R}'=\frac{2u\cos \theta .eu\sin \theta }{g}{R}'=eR\]


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