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A magnetic wire of dipole moment 4pi Am^...

A magnetic wire of dipole moment `4pi Am^(2)` is bent in the form of semicircle. The new magnetic moment is

A

`4 pi Am^(2)`

B

`8pi Am^(2)`

C

`8 Am^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Here,
`M_(i)=4pi`
`mL=4pi`
`m=(4pi)/(L)`
The new distance between poles is
`L_(1)=2r=2(L)/(2pi)=(L)/(pi)`
`therefore" "M_(f)=mL_(1)=(mL)/(pi)=(4pi)/(pi)`
`=4Am^(2)`
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