VMMC VMMC Medical Solved Paper-2014

  • question_answer
    A bar magnet of magnetic moment M and moment of inertia I is freely suspended such that the magnetic axial line is in the direction  of magnetic meridian. If the magnet is displaced by a very small angle 6, angular acceleration is (magnetic induction of the earth's horizontal field\[={{B}_{H}}\])

    A) \[\frac{M{{B}_{H}}\theta }{l}\]                  

    B) \[\frac{l{{B}_{H}}\theta }{M}\]

    C) \[\frac{M\theta }{l{{B}_{H}}}\]                                  

    D) \[\frac{l\theta }{M{{B}_{H}}}\]

    Correct Answer: A

    Solution :

    If \[\alpha \] is the angular acceleration produced, then \[l\alpha =M{{B}_{H}}\sin \theta \] lf \[\theta \]is small, then \[\sin \theta \approx \theta \]and hence the angular acceleration is given by\[\alpha =\frac{M{{B}_{H}}\theta }{l}\]


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