JEE Main & Advanced Physics Magnetism Question Bank Self Evaluation Test - Magnetism and Matter

  • question_answer
    A magnet makes 40 oscillations per minute at a place having magnetic field intensity of\[0.1\times {{10}^{-5}}\,T\]. At another place, it takes 2.5 sec to complete one vibration. The value of earth's horizontal field at that place is

    A) \[0.25\times {{10}^{-6}}\,T\]

    B) \[0.36\times {{10}^{-6}}\,T\]

    C) \[0.66\times {{10}^{-8}}\,T\]

    D) \[1.2\times {{10}^{-6}}\,T\]

    Correct Answer: B

    Solution :

    [b] \[{{T}_{1}}=\frac{60}{40}=1.5s\]   and  \[{{T}_{2}}=2.5\,s\] We know that,  \[\frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{{{B}_{2}}}{{{B}_{1}}}}\] or  \[{{B}_{2}}=\frac{T_{1}^{2}}{T_{2}^{2}}\times {{B}_{1}}={{\left( \frac{1.5}{2.5} \right)}^{2}}\times (0.1\times {{10}^{-5}})\] \[=0.36\times {{10}^{-6}}\,T\]


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