A bar magnet of magnetic moment ‘M’ is bent in the form of an arc which makes angle 600 . The percentage change in magnetic moment is
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a
9% increase
b
9% decrease
c
4.5% decrease
d
4.5% increase
answer is C.
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Detailed Solution
If the bar magnet is bent in the form of an arc making an angle θ at the centre then its new magnetic moment is M1=2Msinθ2θ(rad) θ=60°=πC3 M1=2Msin30π×3 M1=2M×32(π)×3=3Mπ Percentage change in magnetic moment is ΔMM×100=M1-MM×100 =3Mπ-MM×100=3M-πMMπ×100 =M(3-π)Mπ×100=3-3.143.14×100 = - 4.5% =Decreases by 4.5%