A thin bar magnet of length $L$ and magnetic moment $M$ is bent at the midpoint so that the two parts are at right angles. The new magnetic length and magnetic moment are respectively

\sqrt{2 L}, \sqrt{2 M}

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\frac{L}{\sqrt{2}}, \frac{M}{\sqrt{2}}

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\sqrt{2 L}, \frac{M}{\sqrt{2}}

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\frac{L}{\sqrt{2}}, \sqrt{2 M}

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Solution

The correct option is B $\frac{L}{\sqrt{2}}, \frac{M}{\sqrt{2}}$
$M_{n e w} = \sqrt{M^{2} / 4 + M^{2} / 4 + 2 M^{2} / 4 cos 90^{o}}$
$M_{n e w} = M / \sqrt{2}$
Correspondingly, $L_{n e w} = L / \sqrt{2}$

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