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

  • question_answer
    A ball of mass 0.1 Kg. is whirled in a horizontal circle of radius 1 m. by means of a string at an initial speed of 10 R.P.M.  Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value.  The new speed is                                                [MP PMT 2001]

    A)             5 r.p.m.

    B)                      10 r.p.m.

    C)             20 r.p.m.         

    D)             14 r.p.m.

    Correct Answer: A

    Solution :

                    \[T=m{{\omega }^{2}}r\]Þ \[\omega \propto \sqrt{T}\]\\[\frac{{{\omega }_{2}}}{{{\omega }_{1}}}=\sqrt{\frac{1}{4}}\Rightarrow {{\omega }_{2}}=\frac{{{\omega }_{1}}}{2}=5\,rpm\]


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