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Punjab Medical Punjab - MET Solved Paper-2008

  • question_answer
    A bar magnet of magnetic moment \[{{M}_{1}}\] is axially cut into two equal parts. If these two pieces are arranged perpendicular to each other, the resultant magnetic moment is\[{{M}_{2}}\]. Then the value of\[{{M}_{1}}/{{M}_{2}}\]is

    A) \[\frac{1}{2\sqrt{2}}\]                   

    B) \[1\]

    C) \[\frac{1}{\sqrt{2}}\]                                     

    D) \[\sqrt{2}\]

    Correct Answer: D

    Solution :

    When magnet is cut axially, new magnetic moment of each part                 \[M=\left( \frac{m}{2} \right)l=\frac{{{M}_{1}}}{2}\] On placing both the parts perpendicularly.                 \[{{M}_{2}}=\sqrt{{{(M)}^{2}}+{{(M)}^{2}}}=\frac{{{M}_{1}}}{\sqrt{2}}\] Therefore,          \[\frac{{{M}_{1}}}{{{M}_{2}}}=\sqrt{2}\]


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