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A bar magnet of magnetic moment $M$ placed at right angles to a magnetic induction $B$. If a force $F$ is experienced by each pole of the magnet. The length of the magnet will be:
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Verified Answer
The correct answer is:
$M B / F$
Here
$$
\begin{aligned}
\tau & =\vec{M} \times \vec{B} \\
|\tau| & =M B \sin 90^{\circ}
\end{aligned}
$$
and we know that $\tau=F l$
$$
\therefore F l=\mathrm{MB} \quad \Rightarrow l=\frac{M B}{F}
$$
$$
\begin{aligned}
\tau & =\vec{M} \times \vec{B} \\
|\tau| & =M B \sin 90^{\circ}
\end{aligned}
$$
and we know that $\tau=F l$
$$
\therefore F l=\mathrm{MB} \quad \Rightarrow l=\frac{M B}{F}
$$
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