A mass $m$ is suspended by means of two coiled spring which have the same length in unstretched condition as in figure. Their force constant are $k_1$ and $k_2$ respectively. When set into vertical vibrations, the period will be

94-2

  • A

    $2\pi \sqrt {\left( {\frac{m}{{{k_1}{k_2}}}} \right)} $

  • B

    $2\pi \sqrt {m\left( {\frac{{{k_1}}}{{{k_2}}}} \right)} $

  • C

    $2\pi \sqrt {\left( {\frac{m}{{{k_1} - {k_2}}}} \right)} $

  • D

    $2\pi \sqrt {\left( {\frac{m}{{{k_1} + {k_2}}}} \right)} $

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