DUMET Medical DUMET Medical Solved Paper-2010

  • question_answer
    A pendulum is made to hang from the ceiling of an elevator. It has period of T sec [for small angles). The elevator is made to accelerate upwards with\[10\text{ }m/{{s}^{2}}\]. The period of the pendulum now will be (Take g \[=10\text{ }m/{{s}^{2}}\])

    A)  \[T\sqrt{2}\]             

    B)  infinite

    C) \[T/\sqrt{2}\]            

    D)  zero

    Correct Answer: C

    Solution :

     When the elevator is at rest, its time period is given by \[T=2\pi \sqrt{\frac{I}{g}}=2\pi \sqrt{\frac{I}{10}}\] When the elevator accelerates upwards, its time period becomes                      . \[T=2\pi \sqrt{\frac{I}{g+a}}=2\pi \sqrt{\frac{I}{10+10}}\] \[=2\pi \sqrt{\frac{I}{20}}=2\pi \sqrt{\frac{I}{10}}\times \frac{1}{\sqrt{2}}=\frac{T}{\sqrt{2}}\]


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