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EAMCET Medical EAMCET Medical Solved Paper-2010

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

    A)                  \[T=2\pi \sqrt{\frac{mg}{x\left( M+m \right)}}\]              

    B)                  \[T=2\pi \sqrt{\frac{x\left( M+m \right)}{mg}}\]

    C)                  \[T=\frac{2\pi }{3}\sqrt{\frac{mg}{\left( M+m \right)x}}\]           

    D)                  \[T=2\pi \sqrt{\frac{\left( M+m \right)}{mgx}}\]

    Correct Answer: B

    Solution :

                     As mg produces extension \[x,\]hence                 \[k=\frac{mg}{x}\]                 \[\therefore \]  \[T=2\pi \sqrt{\frac{M+m}{k}}\]                 \[T=2\pi \sqrt{\frac{(M+m)x}{mg}}\]


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