JEE Main & Advanced Physics Magnetism Question Bank Magnetic Equipments

  • question_answer
    A small bar magnet A oscillates in a horizontal plane with a period T at a place where the angle of dip is 60o. When the same needle is made to oscillate in a vertical plane coinciding with the magnetic meridian, its period will be [MP PMT 1992]

    A)            \[\frac{T}{\sqrt{2}}\]        

    B)            \[T\]

    C)            \[\sqrt{2}T\]                         

    D)            \[2T\]

    Correct Answer: A

    Solution :

               \[T=2\pi \sqrt{\frac{I}{MB}}\Rightarrow \frac{T}{{{T}'}}=\sqrt{\frac{{{B}'}}{B}}=\sqrt{\frac{B}{{{B}_{H}}}}\] \[\Rightarrow \frac{T}{{{T}'}}=\sqrt{\frac{1}{\cos \varphi }}=\sqrt{\frac{1}{\cos {{60}^{o}}}}=\sqrt{2}\]\[\Rightarrow {T}'=\frac{T}{\sqrt{2}}\]


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