JEE Main & Advanced Physics Magnetism Question Bank Magnetic Equipments

  • question_answer
    Magnets A and B are geometrically similar but the magnetic moment of A is twice that of B. If T1 and T2 be the time periods of the oscillation when their like poles and unlike poles are kept together respectively, then \[\frac{{{T}_{1}}}{{{T}_{2}}}\]will be [SCRA 1998]

    A)            \[\frac{1}{3}\]                      

    B)            \[\frac{1}{2}\]

    C)            \[\frac{1}{\sqrt{3}}\]        

    D)            \[\sqrt{3}\]

    Correct Answer: C

    Solution :

               \[{{T}_{Sum}}=2\pi \sqrt{\frac{({{I}_{1}}+{{I}_{2}})}{({{M}_{1}}+{{M}_{2}}){{B}_{H}}}}\] \[{{T}_{diff}}=2\pi \sqrt{\frac{{{I}_{1}}+{{I}_{2}}}{({{M}_{1}}-{{M}_{2}}){{B}_{H}}}}\] \[\Rightarrow \frac{{{T}_{s}}}{{{T}_{d}}}=\frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{{{M}_{1}}-{{M}_{2}}}{{{M}_{1}}+{{M}_{2}}}}=\sqrt{\frac{2M-M}{2M+M}}=\frac{1}{\sqrt{3}}\]


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