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J & K CET Medical J & K - CET Medical 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) \[\frac{T}{2}\]

    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,           \[I=m{{r}^{2}}\] 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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