JEE Main & Advanced Physics Magnetism Question Bank Magnetic Equipments

  • question_answer
    Two magnets A and B are identical in mass, length and breadth but have different magnetic moments. In a vibration magnetometer, if the time period of B is twice the time period of A. The ratio of the magnetic moments \[{{M}_{A}}/{{M}_{B}}\] of the magnets will be [MP PET 1990; MP PMT 1990]

    A)            \[1/2\]                                    

    B)            \[2\]

    C)            \[4\]                                        

    D)            \[1/4\]

    Correct Answer: C

    Solution :

               \[T=2\pi \sqrt{\frac{I}{M{{B}_{H}}}}\Rightarrow T\propto \frac{1}{\sqrt{M}}\Rightarrow \frac{{{M}_{A}}}{{{M}_{B}}}={{\left( \frac{{{T}_{B}}}{{{T}_{A}}} \right)}^{2}}=\frac{4}{1}\]


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