JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Mock Test - Magnetics

  • question_answer
    A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a plane where dip angle is \[30{}^\circ \] and 15 oscillations per minute at a place where dip angle is \[60{}^\circ \]. The ratio of earth's magnetic field at two places is

    A) \[3\sqrt{3:}8\]   

    B) \[16:9\sqrt{3}\]

    C) \[4:9\]               

    D) \[2\sqrt{2}:3\]

    Correct Answer: B

    Solution :

    [b] \[T=2\pi \sqrt{\frac{I}{MB\cos \delta }}\] \[v=\frac{1}{2\pi }\sqrt{\frac{MB\cos \delta }{I}}\] \[v=\sqrt{B\cos \delta }\] or \[B\propto \frac{{{v}^{2}}}{\cos \delta }\] \[\frac{{{B}_{1}}}{{{B}_{2}}}=\frac{400}{\cos 30{}^\circ }\times \frac{\cos 60{}^\circ }{225}=\frac{16\times 2}{9\times \sqrt{3}}\times \frac{1}{2}=16:9\sqrt{3}\]


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