A small sphere carrying a charge ‘$q$’ is hanging in between two parallel plates by a string of length $L$. Time period of pendulum is ${T_0}$. When parallel plates are charged, the time period changes to $T$. The ratio $T/{T_0}$ is equal to

115-32

  • A

    ${\left( {\frac{{g + \frac{{qE}}{m}}}{g}} \right)^{1/2}}$

  • B

    ${\left( {\frac{g}{{g + \frac{{qE}}{m}}}} \right)^{3/2}}$

  • C

    ${\left( {\frac{g}{{g + \frac{{qE}}{m}}}} \right)^{1/2}}$

  • D

    None of these

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  • [IIT 2001]