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A magnetised needle of magnetic moment 4.8 × 10-2 Am2 is placed at 30° with the direction of uniform magnetic field of magnitude 3 × 10-2 T. -

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Question

A magnetised needle of magnetic moment 4.8 × 10-2 Am2 is placed at 30° with the direction of uniform magnetic field of magnitude 3 × 10-2 T. What is the torque acting on the needle?

Options

  • 7.2 × 10-1 N-m

  • 7.2 × 10-2 N-m

  • 7.2 × 10-4 N-m

  • 7.2 × 10-3 N-m

MCQ

Solution

7.2 × 10-4 N-m

Explanation:

Here, M = 44.8 × 10-2 Am

θ = 30°, B = 3 × 10-2 T

As τ = MB sin θ

τ = 4.8 × 10-2 × 3 × 10-2 sin 30°

τ = 7.2 × 10-4 N-m

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