Assertion: When radius of a circular wire carrying current is doubled, its magnetic moment becomes four times
Reason: Magnetic moment is directly proportional to area of the loop

Both A and R are true and R is the correct explanation of A.

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Both A and R are true and R is not correct explanation of A.

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A is true, but R is false

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A is false, but R is true

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Solution

The correct option is D Both A and R are true and R is the correct explanation of A.
$m$ (for circular wire)= $I π r^{2}$ ( standard result for magnetic force on a current carrying wire)
$\frac{m_{1}}{r {_{1}}^{2}} = \frac{m_{2}}{r {_{2}}^{2}}$
$m_{2} = 4 m_{1}$

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Q. Assertion :When radius of a circular loop carrying current is doubled, its magnetic moment becomes four times. Reason: Magnetic moment depends on the area of the loop.

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Assertion: When radius of a circular wire carrying current is doubled, its magnetic moment becomes four times Reason: Magnetic moment is directly proportional to area of the loop

The correct option is D Both A and R are true and R is the correct explanation of A.m(for circular wire)=Iπr2 ( standard result for magnetic force on a current carrying wire) m1r12=m2r22m2=4m1

Assertion: When radius of a circular wire carrying current is doubled, its magnetic moment becomes four times
Reason: Magnetic moment is directly proportional to area of the loop

The correct option is D Both A and R are true and R is the correct explanation of A.
$m$ (for circular wire)= $I π r^{2}$ ( standard result for magnetic force on a current carrying wire)
$\frac{m_{1}}{r {_{1}}^{2}} = \frac{m_{2}}{r {_{2}}^{2}}$
$m_{2} = 4 m_{1}$