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Question

A long magnetic needle of length 2L, magnetic moment M and pole strength m units is broken into two pieces at the middle. The magnetic moment and pole strength of each piece will be:

A
M2,m2
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B
M,m2
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C
M2,m
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D
M,m
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Solution

The correct option is C M2,m

Given that,

Length l=2L

Pole strength =m


Now, the magnetic moment is

M=mL


Now, if cut perpendicular to the axis of magnetic needle

New length l=L

New pole strength m=m


Now, new magnetic moment is

M=mL2

M=M2

Hence, the magnetic moment of each part is M2 and pole strength of each part is m


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