JEE Main & Advanced Physics Magnetism Question Bank Magnetic Equipments

  • question_answer
    Moment of inertia of a magnetic needle is 40 gm-cm2 has time period 3 seconds in earth's horizontal field = \[3.6\times {{10}^{-5}}\]weber/m2. Its magnetic moment will be

    A)            \[0.5\,A\times {{m}^{2}}\]

    B)            \[5\,A\times {{m}^{2}}\]

    C)            \[0.250\,A\times {{m}^{2}}\]

    D)            \[5\times {{10}^{2}}A\times {{m}^{2}}\]

    Correct Answer: A

    Solution :

               \[T=2\pi \sqrt{\frac{I}{M{{B}_{H}}}}\] \[I=40gm-c{{m}^{2}}=400\times {{10}^{-8}}kg-{{m}^{2}}\] \[\therefore \ 3=2\pi \sqrt{\frac{400\times {{10}^{-8}}}{36\times {{10}^{-6}}\times M}}\] \[\Rightarrow \frac{1}{M}=\frac{9}{4{{\pi }^{2}}}\times \frac{36}{4}\Rightarrow M=0.5\ A\times {{m}^{2}}\]


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