MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    A pendulum suspended from the ceiling of a train has a period T when the train is at rest. When the train accelerates with a uniform acceleration a, the period of oscillation will

    A)  increase                             

    B)  decrease

    C)  remain unaffected        

    D)  become infinite

    Correct Answer: B

    Solution :

                     \[T=2\pi \sqrt{\frac{l}{g}}\] When train accelerates, the effective value of g changes to g' given by\[(g')=\sqrt{{{a}^{2}}+{{g}^{2}}}\] \[\therefore \]  \[T'=\sqrt{\frac{l}{g'}}\] As        \[g'>g,T'<T\]


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