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J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    A bar magnet is oscillating in the earth's magnetic field with time period T. If its mass is increased four times, then its time period will be

    A)  \[4T\]          

    B)  \[2T\]

    C)  \[T\]              

    D)  \[r\]

    Correct Answer: B

    Solution :

    The time period of vibration magnetometer is given by \[T=2\pi \sqrt{\frac{I}{MH}}\] where \[I\] is moment of inertia, M the magnetic moment and H the horizontal component of earth's magnetic field. Also,          \[\text{I}=m{{r}^{2}}\] where m is mass and r the radius. When mass is increased four times. \[I'=4I\] \[\therefore \] \[T'=2\pi \sqrt{\frac{4I}{MH}}\] \[=2\times 2\pi \sqrt{\frac{I}{MH}}=2T\]


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