JEE Main & Advanced Physics Magnetism Question Bank Magnetic Equipments

  • question_answer
    A magnet makes 40 oscillations per minute at a place having magnetic field intensity of 0.1 ´ 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 [AIIMS 2000; CPMT 2000; Pb PET 2002]

    A)            0.25 ´ 10?6 T                          

    B)            0.36 ´ 10?6 T

    C)            0.66 ´ 10?8 T

    D)            1.2 ´ 10?6 T

    Correct Answer: B

    Solution :

               \[T=2\pi \sqrt{\frac{I}{M\times {{B}_{H}}}}\Rightarrow T\propto \frac{1}{\sqrt{{{B}_{H}}}}\] \[\Rightarrow \frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{{{({{B}_{H}})}_{2}}}{{{({{B}_{H}})}_{1}}}}\Rightarrow \frac{60/40}{2.5}=\sqrt{\frac{{{({{B}_{H}})}_{2}}}{0.1\times {{10}^{-5}}}}\] \[\Rightarrow {{({{B}_{H}})}_{2}}=0.36\times {{10}^{-6}}T\]


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