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A small bar magnet is placed with its axis at 30° with an external magnetic field of 0.06 T experiences a torque of 0.018 Nm.

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A small bar magnet is placed with its axis at 30° with an external magnetic field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it from its stable to unstable equilibrium position is:

(1) 9.2 × 10-3 J

(2) 11.7 × 10-3 J

(3) 6.4 × 10-2 J

(4) 7.2 × 10-2 J

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(4) 7.2 × 10-2 J

Explanation:

τ = MBsinθ = 0.18

ω = ΔU = Ur -Ui

= –MBcos180° – (–MBcos0°)

= 2MB

= 2 × 0.6 × 0.06

= 0.072 J

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