QJEEAdv24Ph5dd6: JEE Advanced 2024 Physics - Class 12 JEEAdv24Ph5dd6 Solution: A thin stiff insulated metal wire is bent into a circular loop…

A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the same point of the loop. The wire loop has mass $m$ and radius $r$ and it is in a uniform vertical magnetic field $B_0$ , as shown in the figure. Initially, it hangs vertically downwards, because of acceleration due to gravity $g$ , on two conducting supports at $\mathrm{P}$ and $\mathrm{Q}$ . When a current $I$ is passed through the loop, the loop turns about the line $\mathrm{PQ}$ by an angle $\theta$ given by