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JCECE Medical JCECE Medical Solved Paper-2012

  • question_answer
    Time period of a block suspended from the upper plate of a parallel plate capacitor by a spring of stiflhess K is T, when block is uncharged. If a charge q is given to the block then, the new time period of oscillation will be

    A)  T

    B)  \[>\,T\]

    C)  \[<\,\,T\]

    D)  \[\ge \,\,T\]

    Correct Answer: A

    Solution :

     The forces that act on the block are \[qE\]and mg. Since, \[qE\]and mg are constant forces, the only variable elastic force changes by \[kx\](where, \[x\] is the elongation in the spring). Unbalanced (restoring) force, \[F=-kx\] \[\Rightarrow \] \[-m{{\omega }^{2}}x=-kx\] \[\Rightarrow \] \[\omega =\sqrt{\frac{k}{m}}=T\]


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