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(B) The magnetic moment is a vector quantity directed from the South pole to the North pole.When two identical magnets are placed perpendicular to eac

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$lm\sqrt{2}$

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(B) The magnetic moment is a vector quantity directed from the South pole to the North pole.When two identical magnets are placed perpendicular to each other, their magnetic moment vectors $\vec{M_1}$ and $\vec{M_2}$ are also perpendicular to each other.The magnitude of the resultant magnetic moment $M^{\prime}$ is given by the vector sum:$M^{\prime} = \sqrt{M_1^2 + M_2^2 + 2M_1M_2 \cos(90^{\circ})}$Since $M_1 = M_2 = M$, we have:$M^{\prime} = \sqrt{M^2 + M^2} = M\sqrt{2}$Given that the magnetic moment of a single magnet is $M = ml$, we substitute this into the expression:$M^{\prime} = ml\sqrt{2}$

If two identical bar magnets, each of length $l$, pole strength $m$ and magnetic moment $M$ are placed perpendicular to each other with their unlike poles in contact, the magnetic moment of the combination is

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