DUMET Medical DUMET Medical Solved Paper-2008

  • question_answer
    If radius of earth is reduced

    A)  tide duration is reduced

    B)  earth rotates slower

    C)  time period of earth decreases

    D)  duration of day increases

    Correct Answer: C

    Solution :

     Using the law of conservation of angular momentum, ie, \[I\omega =\] constant or \[m{{r}^{2}}\omega =\] constant \[[\because \,I=m{{r}^{2}}]\] or \[\omega \propto \frac{1}{{{r}^{2}}}\] Therefore, if the radius of earth reduces, co will increase. As a result time period \[T=\left( \frac{2\pi }{\omega } \right)\] will decrease. Hence, on reducing the radius of earth its time period is decreased.


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