JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

  • question_answer
    A person with his hands in his pockets is skating on ice at the velocity of 10 m/s and describes a circle of radius 50 m. What is his inclination with vertical                   [Pb. PET 2000]

    A)             \[\frac{\sqrt{3}}{2}.\]

    B)                    \[{{\tan }^{-1}}\left( \frac{3}{5} \right)\]

    C)                 \[{{\tan }^{-1}}(1)\]

    D)                             \[{{\tan }^{-1}}\left( \frac{1}{5} \right)\]

    Correct Answer: D

    Solution :

                    The inclination of person from vertical is given by,             \[\tan \theta =\frac{{{v}^{2}}}{rg}=\frac{{{(10)}^{2}}}{50\times 10}=\frac{1}{5}\]\ \[\theta ={{\tan }^{-1}}(1/5)\]


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