A conducting ring of mass $2\,\, kg$ and radius $0.5\,\ m$ is placed on a smooth horizontal plane. The ring carries a current $i = 4A. A$ horizontal magnetic field $B = 10T$ is switched on at time $t = 0$ as shown in figure. The initial angular acceleration of the ring will be
Diffcult
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Due to torque of magnetic field, ring will rotate about vertical diameter. $\tau=I \alpha \Rightarrow M B=I \alpha$
$\Rightarrow i \pi r^{2} B=\frac{1}{2} m r^{2} \alpha$
$\Rightarrow \alpha=\frac{2 i B \pi}{m}=\frac{2 \times 4 \times 10 \pi}{2}=40 \pi r a d /s^{2}$
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