NEET AIPMT SOLVED PAPER MAINS 2010

  • question_answer
    The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?                     

    A)  Both together only when angle of inclination of plane is\[45{}^\circ \]

    B)  Both together

    C)  Hollow cylinder

    D)  Solid cylinder

    Correct Answer: B

    Solution :

    \[t=\frac{1}{\sin \theta }\sqrt{\frac{2h}{g}\left( 1+\frac{{{k}^{2}}}{{{R}^{2}}} \right)}\]If a solid and hollow body of same shape are allowed to roll down on inclined plane then as \[{{\left( \frac{{{k}^{2}}}{{{R}^{2}}} \right)}_{s}}<{{\left( \frac{{{k}^{2}}}{{{R}^{2}}} \right)}_{H}},\]solid body will reach the bottom first with greater velocity.


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