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Q.

A magnet of magnetic moment 50 i^  Am2   is placed along the x-axis in a magnetic field B→=0.5i^+3.0j^T  . The torque acting on the magnet is

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a

175 k^ N−m

b

150 k^ Nm

c

75 k^ Nm

d

2537 k^ Nm

answer is B.

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Detailed Solution

τ→=M→×B→ ⇒τ→=50i^×0.5i^+3j^ ⇒τ→=150i^×j^                                ∵i^×i^=0 ⇒τ→=150k^                                                   ∵ i^×j^=k^
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A magnet of magnetic moment 50 i^  Am2   is placed along the x-axis in a magnetic field B→=0.5i^+3.0j^T  . The torque acting on the magnet is