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

  • question_answer
    A bar magnet is held perpendicular to a uniform magnetic field. If the couple acting on the magnet is to be halved by rotating it, then the angle by which it is to be rotated is  [CBSE PMT 2000]

    A)            30o

    B)            45o

    C)            60o

    D)            90o

    Correct Answer: C

    Solution :

               \[\tau =MB\sin \theta \Rightarrow \tau \propto \sin \theta \] \[\Rightarrow \frac{{{\tau }_{1}}}{{{\tau }_{2}}}=\frac{\sin {{\theta }_{1}}}{\sin {{\theta }_{2}}}\Rightarrow \frac{\tau }{\tau /2}=\frac{\sin 90}{\sin {{\theta }_{2}}}\]                    \[\Rightarrow \sin {{\theta }_{2}}=\frac{1}{2}\Rightarrow {{\theta }_{2}}={{30}^{o}}\]            Þ angle of rotation \[=0{\AA}-30=60{}^\circ \]        


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