The magnetic moment of a bar magnet is M. If it is cut into two pieces in the ratio 1:2 perpendicular to its length. The ratio of their magnetic moments is:

1:1

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1:2

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2:1

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none of the above

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Solution

The correct option is A 1:2
Magnetic moment of a magnet $= m l$
where $m =$ pole strength
$l =$ effective distance between the two poles
When the magnet is cut, the pole strength(m) remains the same.
Therefore the ratio of Magnetic Moments is the same as the ratio of their lengths.
Therefore required ratio is $1 : 2$

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The magnetic moment of a bar magnet is M. If it is cut into two pieces in the ratio 1:2 perpendicular to its length. The ratio of their magnetic moments is:

The correct option is A 1:2Magnetic moment of a magnet=mlwhere m=pole strengthl=effective distance between the two polesWhen the magnet is cut, the pole strength(m) remains the same.Therefore the ratio of Magnetic Moments is the same as the ratio of their lengths.Therefore required ratio is 1:2