A mass $M$ is suspended from a light spring. An additional mass m added displaces the spring further by a distance $x$. Now the combined mass will oscillate on the spring with period

  • A

    $T = 2\pi \sqrt {\left( {mg/x(M + m)} \right)} $

  • B

    $T = 2\pi \sqrt {\left( {(M + m)x/mg} \right)} $

  • C

    $T = (\pi /2)\sqrt {\left( {mg/x(M + m)} \right)} $

  • D

    $T = 2\pi \sqrt {\left( {(M + m)/mgx} \right)} $

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