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Question: Two similar bar magnets P and Q, each of magnetic moment M, are taken, If P is cut along its axial l...

Two similar bar magnets P and Q, each of magnetic moment M, are taken, If P is cut along its axial line and Q is cut along its equatorial line, all the four pieces obtained have

A

Equal pole strength

B

Magnetic moment M4\frac { M } { 4 }

C

Magnetic moment M2\frac { M } { 2 }

D

Magnetic moment M

Answer

Magnetic moment M2\frac { M } { 2 }

Explanation

Solution

If pole strength, magnetic moment and length of each part are m,Mm ^ { \prime } , M ^ { \prime }and LL ^ { \prime }respectively then

m=m2m ^ { \prime } = \frac { m } { 2 } m=mm ^ { \prime } = m

L=LL ^ { \prime } = L L=L2L ^ { \prime } = \frac { L } { 2 }

M=M2\Rightarrow M ^ { \prime } = \frac { M } { 2 } M=M2\Rightarrow M ^ { \prime } = \frac { M } { 2 }