A small magnetised needle P placed at point O and arrow shows direction of its magnetic moment. othe

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5.Magnetism and Matter

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A small magnetised needle $P$ placed at point $O$ and the arrow shows the direction of its magnetic moment. The other arrow show different position (and orientation) of another identical magnets $(Q)$. In which configuration system is not in equilibrium

A

$PQ_1,\,PQ_3$

B

$PQ_2,\,PQ_6$

C

$PQ_1,\,PQ_2$

D

$PQ_2,\,PQ_5$

Solution

$\mathrm{B}_{\text {axis }}=\frac{2 \mu_{0} \mathrm{m}_{\mathrm{P}}}{4 \pi \mathrm{r}^{3}}$

$\mathrm{B}_{\text {equi }}=-\frac{\mu_{0}}{4 \mathrm{n}} \frac{\mathrm{m}_{\mathrm{P}}}{\mathrm{r}^{3}}$

if $\theta \neq 0$ or $180^{\circ}$

so $\mathrm{PQ}_{1}$ and $\mathrm{PQ}_{2}$

Standard 12

Physics

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