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Question: A short bar magnet has a magnetic moment of 0.48 J T-1. The magnitude and direction of magnetic fiel...

A short bar magnet has a magnetic moment of 0.48 J T-1. The magnitude and direction of magnetic field produced by the magnet at a distance of 10 cm from the centre of the magnet on its axis is

A

0.48 × 10-4 along N-S direction

B

0.28 × 10-4 T along S-N direction

C

0.28 × 10-4 T along N-S direction

D

0.96 × 10-4 T along S-N direction

Answer

0.96 × 10-4 T along S-N direction

Explanation

Solution

: On the axis of the magnet,

Here, μ04π=107Am2\frac { \mu _ { 0 } } { 4 \pi } = 10 ^ { - 7 } \mathrm { Am } ^ { - 2 }

m

Then, B=107×2×0.48(0.1)3\mathrm { B } = \frac { 10 ^ { - 7 } \times 2 \times 0.48 } { ( 0.1 ) ^ { 3 } }

along S –N direction.