J & K CET Medical J & K - CET Medical Solved Paper-2014

  • question_answer
    The magnetic needle has magnetic moment \[8.7\times {{10}^{-2}}A-{{m}^{2}}\]and moment of inertia\[11.5\times {{10}^{-6}}kg-{{m}^{2}}\]. It performs 10 complete oscillations in 6.70 s, what is the magnitude of the magnetic field?

    A)  0.012 T         

    B)  0.120 T

    C)  1.200 T         

    D)  2.10 T

    Correct Answer: A

    Solution :

     \[m=8.7\times {{10}^{-2}}A-{{m}^{2}}\] \[l=11.5\times {{10}^{-6}}kg-{{m}^{2}}\] \[T=0.67s\] \[\Rightarrow \]From the formula \[T=2\pi \sqrt{\frac{l}{mB}}\Rightarrow B=\frac{4{{\pi }^{2}}\times l}{m{{T}^{2}}}\] \[=\frac{453.5\times {{10}^{-6}}}{{{10}^{-2}}\times 3.9}=116.28\times {{10}^{-4}}\] \[=0.0116=0.012T\]


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