RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    A magnet of magnetic moment M is freely suspended in a uniform magnetic field of strength B. The work done in rotating the magnet through \[60{}^\circ \]to\[90{}^\circ \]is

    A)  \[-MB\text{ }(1-cos\text{ }90{}^\circ )\]

    B)  \[-MB(cos\text{ }60{}^\circ -cos\text{ }90{}^\circ )\]

    C)  \[-MB(0cos\text{ }60{}^\circ )\]

    D)  \[-MB(sin\text{ }60{}^\circ -cos\text{ }90{}^\circ )\]

    Correct Answer: C

    Solution :

     We knows, work done in rotating a magnet of magnetic moment M in magnetic field of strength B from angle\[{{\theta }_{1}}\]and\[{{\theta }_{2}}\]is \[W=-\text{ }MB(cos\text{ }{{\theta }_{2}}-cos\text{ }{{\theta }_{1}})\] Here given\[{{\theta }_{1}}=60{}^\circ \]and\[{{\theta }_{2}}=90{}^\circ \] Hence   \[W=-MB(\cos 90{}^\circ -\cos 60{}^\circ )\] \[W=-MB(0-\cos 60{}^\circ )\]


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