RAJASTHAN PMT Rajasthan - PMT Solved Paper-2007

  • question_answer
    The period of oscillation of a simple pendulum of constant length al surface of the earth is T. Its time period inside a mine will be

    A)  cannot be compared

    B)  equal to T

    C)  less than T         

    D)         more than T

    Correct Answer: D

    Solution :

    The time-period \[(T)\] of a simple pendulum is given by                 \[T=2\pi \sqrt{\frac{l}{g}}\] \[\Rightarrow \]               \[T\propto \frac{1}{\sqrt{g}}\] Let mine be at a depth h below the surface of earth of radius R, then \[g=g\left( 1-\frac{h}{R} \right)\]hence, \[g\] decreases. Therefore, \[T\] increases.


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