JEE Main & Advanced Physics Magnetism Question Bank Magnet and its Properties

  • question_answer
    The magnetic field at a point x on the axis of a small bar magnet is equal to the field at a point y on the equator of the same magnet. The ratio of the distances of x and y from the centre of the magnet is                       [MP PMT 1990]

    A)            \[{{2}^{-3}}\]                        

    B)            \[{{2}^{-1/3}}\]

    C)            \[{{2}^{3}}\]                         

    D)            \[{{2}^{1/3}}\]

    Correct Answer: D

    Solution :

                       \[{{B}_{1}}=\frac{2M}{{{x}^{3}}}\ and\ {{B}_{2}}=\frac{M}{{{y}^{3}}}\] As \[{{B}_{1}}={{B}_{2}}\] Hence \[\]\[\frac{2M}{{{x}^{3}}}=\frac{M}{{{y}^{3}}}\text{or}\frac{{{x}^{3}}}{{{y}^{3}}}=2\ \text{or}\ \frac{x}{y}={{2}^{1/3}}\]


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