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A magnetic dipole is placed under the effect of two magnetic fields inclined at 750 to each other one of the fields has a magnetic induction of 1.5X10-2T. The magnet comes to rest at an angle of 30° with the direction of this field, the magnitude of the other field is

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a

1.5X10-2T

b

1.52X10-2T

c

1.52X10-2T

d

1.522X10-2T

answer is C.

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Detailed Solution

At the equilibrium positionMB1sinθ1=MB2sinθ2Given θ1=30° and θ2=75°-30°=45° B1=1.5×10-2T B2=?∴B2=B1sinθ1sinθ2 ⇒B2=1.5×10-2×sin30°sin45°=1.5×10-2×1×22 ⇒B2=1.5×10-22T

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