Magnetism Question 186

Question: Rate of change of torque $ \tau $ with deflection $ \theta $ is maximum for a magnet suspended freely in a uniform magnetic field of induction B, when

[MP PET 1994]

Options:

A) $ \theta =0{}^\circ $

B) $ \theta =45{}^\circ $

C) $ \theta =60{}^\circ $

D) $ \theta =90{}^\circ $

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Answer:

Correct Answer: A

Solution:

$ \tau =MB _{H}\sin \theta $ or $ \frac{d\tau }{d\theta }=MB _{H}\cos \theta $ This will be maximum. when $ \theta ={{0}^{o.}} $