JEE Main & Advanced Physics Magnetism Question Bank Critical Thinking

  • question_answer
    A cylindrical rod magnet has a length of 5 cm and a diameter of 1 cm. It has a uniform magnetisation of 5.30 × 103Amp/m3. What its magnetic dipole moment

    A)            \[1\times {{10}^{-2}}J/T\]      

    B)            \[2.08\times {{10}^{-2}}J/T\]

    C)            \[3.08\times {{10}^{-2}}J/T\]

    D)             \[1.52\times {{10}^{-2}}J/T\]

    Correct Answer: B

    Solution :

                       Relation for dipole moment is, \[M=I\times V\]. Volume of the cylinder \[V=\pi r{{r}^{2}}l\], Where  r is the radius and l  is the length of the cylinder, then dipole moment,                    \[M=I\pi {{r}^{2}}l=(5.30\times {{10}^{3}})\times \frac{22}{7}\times {{(0.5\times {{10}^{-2}})}^{2}}(5\times {{10}^{-2}})\]            \[=2.08\times {{10}^{-2}}J/T\]


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