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Question: A short bar magnet is placed with its south pole towards geographical north. The neutral points are ...

A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of 20 cm from the centre of the magnet. If then the magnetic moment of the magnet is

A

9000 ab-amp × cm2

B

900 abamp×cm2a b - a m p \times c m ^ { 2 }

C

1200abamp×cm21200 a b - a m p \times c m ^ { 2 }

D

225abamp×cm2225 a b - a m p \times c m ^ { 2 }

Answer

1200abamp×cm21200 a b - a m p \times c m ^ { 2 }

Explanation

Solution

At neutral point magnetic field due to magnet = Horizontal component of earth's magnetic field

μ04π2Mr3=BH\frac { \mu _ { 0 } } { 4 \pi } \cdot \frac { 2 M } { r ^ { 3 } } = B _ { H }107×2×M×1(0.2)3=0.3×154\frac { 10 ^ { - 7 } \times 2 \times M \times 1 } { ( 0.2 ) ^ { 3 } } = 0.3 \times 15 ^ { 4 }