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Question

# A bar magnet of magnetic moment M is cut into parts of equal lengths. The magnetic moment and pole strength of either part is

A
M/2, m/2
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B
M, m/2
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C
M/2, m
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D
M, m
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Solution

## The correct option is C M/2, mGiven: Magnetic moment=M Solution: Let pole strength =mA dipole has a length of 2l initially then it is cut into two parts i.e.l and lBefore cut, Magnetic moment=pole strength×2lM=m×2l...........(1)After cut,Magnetic moment=pole strength×l (for each part)M′=m×l (for each part) ..........(2)combining eq. (1) &(2)M′=M2But the pole strength remains same because dipole is cut vertically ,not horizontallySo,m′=mHence,the correct option is C

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