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

  • question_answer
    The magnetic potential at a point on the axial line of a bar magnet of dipole moment M is V. What is the magnetic potential due to a bar magnet of dipole moment \[\frac{M}{4}\] at the same point                                          [MH CET 2004]

    A)            \[4\,V\]                                  

    B)            \[2\,V\]

    C)            \[\frac{V}{2}\]                     

    D)            \[\frac{V}{4}\]

    Correct Answer: D

    Solution :

                       Magnetic potential at a distance d from the bar magnet on it's axial line is given by \[V=\frac{{{\mu }_{0}}}{4\pi }.\frac{M}{{{d}^{2}}}\] Þ \[V\propto M\] Þ \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{{{M}_{1}}}{{{M}_{2}}}\] Þ \[\frac{V}{{{V}_{2}}}=\frac{M}{M/4}\] Þ \[{{V}_{2}}=\frac{V}{4}\]


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