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Physics · PYQ NEET UG 2016(2)

हिन्दी

A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by \( 60^\circ \) is W. Now the torque required to keep the magnet in this new position is

  1. \( \frac{2W}{\sqrt{3}} \)
  2. \( \frac{W}{\sqrt{3}} \)
  3. \( \sqrt{3} W \)
  4. \( \frac{\sqrt{3}W}{2} \)

Correct answer · Option 3

\( \sqrt{3} W \)

Explanation

Work done \( W = MB(\cos 0^\circ - \cos 60^\circ) = MB(1 - 1/2) = MB/2 \). Torque at \( 60^\circ \) is \( \tau = MB \sin 60^\circ = (2W) \frac{\sqrt{3}}{2} = \sqrt{3}W \).
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