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NEET Sample Paper NEET Sample Test Paper-11

  • question_answer
    A bar magnet has a magnetic moment equal to \[5\times {{10}^{-5}}\times weber\times m.\] It is suspended in a mag- netic field which has a magnetic induction \[\text{(B)}\] equal to\[8\pi \times {{10}^{-4}}\] tesla. The magnet vibrates with a period of vibration equal to 15 sec. The moment of inertia of the magnet is

    A) \[22.5\,kg\times {{m}^{2}}\]                

    B) \[11.25\times kg\times {{m}^{2}}\]

    C) \[5.62\times kg\times {{m}^{2}}\]

    D) \[7.16\times {{10}^{-7}}\,kg\,{{m}^{2}}\]

    Correct Answer: D

    Solution :

     Time period of a magnet \[T=2\pi \sqrt{\frac{I}{MB}}\] or \[I=\frac{{{T}^{2}}MB}{4{{\pi }^{2}}}=\frac{225\times 5\times {{10}^{-5}}\times 8\pi \times {{10}^{-4}}}{4{{\pi }^{2}}}\] \[\therefore \]      \[I=7.16\times {{10}^{-7}}\,kg\,{{m}^{2}}\]


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