JEE Main & Advanced Physics Magnetism Question Bank Magnetic Equipments

  • question_answer
    A magnet of magnetic moment M oscillating freely in earth's horizontal magnetic field makes n oscillations per minute. If the magnetic moment is quadrupled and the earth's field is doubled, the number of oscillations made per minute would be                                                                                                             [MP PET 1991]

    A)            \[\frac{n}{2\sqrt{2}}\]      

    B)            \[\frac{n}{\sqrt{2}}\]

    C)            \[2\sqrt{2}n\]                      

    D)            \[\sqrt{2}n\]

    Correct Answer: C

    Solution :

               No. of oscillation per minute \[=\frac{1}{2\pi }\sqrt{\frac{M{{B}_{H}}}{I}}\] \[\begin{align}   & \Rightarrow n\propto \sqrt{M{{B}_{H}}};\ \ M\to 4\ times \\  & \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {{B}_{H}}\to 2\ times \\ \end{align}\] So \[\nu \to \sqrt{8}\ times\ i.e.\ {\nu }'=\sqrt{8}\nu =2\sqrt{2}n\]


You need to login to perform this action.
You will be redirected in 3 sec spinner