A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $\vec {B}$ is in plane of the coil. If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side $l$ of the triangle is
  • A$\frac{2}{\sqrt{3}}\left(\frac{\tau}{B i}\right)$
  • B$2\left(\frac{\tau}{\sqrt{3} B i}\right)^{1 / 2}$
  • C$\frac{2}{\sqrt{3}}\left(\frac{\tau}{B i}\right)^{1 / 2}$
  • D$\frac{1}{\sqrt{3}} \frac{\tau}{B i}$
AIPMT 2005, Medium
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