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If a bar magnet of pole strength m and m...

If a bar magnet of pole strength m and magnetic moment M is cut equally 5 times parallel to its axis and again 3 times perpendicular to its axis, then the pole strength and magnetic moment of each piece are respectively.

A

`m/20,M/4`

B

`m/5,M/20`

C

`m/6,M/24`

D

`m/5,M/24`

Text Solution

Verified by Experts

The correct Answer is:
C

Polo strength = m and magnetic =M
When magnet is cut 5 times number of pieces n=6
Pole strength `m^(1)=m/n=m/6`
When magnet is cut 3 times perpendicular to axis
number of pieces n=4, then length `2l^(1)=(2l)/(n)=(2l)/(4)`
therefore pole strength `m^(1)=m/6`
Magnetic moment `M=((m)/(6))((2l)/(4)) =m/24`
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Knowledge Check

  • A bar magnet of moment M is bent as an arc . Its magnetic moment

    A
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    B
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