Question:

The torque acting on a magnetic dipole placed in uniform magnetic field is zero, when the angle between the dipole axis and the magnetic field is _____.

Updated On: Mar 30, 2025
  • 45°
  • 60°
  • 90°
  • zero
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The Correct Option is D

Solution and Explanation

Step 1: Recall the expression for torque (\( \tau \)) acting on a magnetic dipole (\( M \)) placed in a uniform magnetic field (\( B \)):

\[ \tau = MB \sin\theta \] 

where \( \theta \) is the angle between the magnetic dipole axis and the direction of the magnetic field.

Step 2: Determine when torque is zero.

The torque will be zero if:

\[ \tau = MB \sin\theta = 0 \]

This occurs when:

\[ \sin\theta = 0 \quad \Rightarrow \quad \theta = 0^\circ \text{ or } 180^\circ \]

Step 3: From the given options, angle \(0^\circ\) satisfies the above condition.

Final Conclusion:
The torque on the magnetic dipole is zero when the angle between the dipole axis and the magnetic field is zero degrees (0°).

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