A coil in the shape of an equilateral triangle of side \(0.02 \mathrm{~m}\) is suspended from its vertex such that it is hanging in a vertical plane between the pole pieces of permanent magnet producing a uniform field of \(5 \times 10^{-2} \mathrm{~T}\). If a current of \(0.1 \mathrm{~A}\) is passed through the coil, what is the couple acting?

(a) \(5 \sqrt{3} \times 10^{-7} \mathrm{Nm} \quad\) (b) \(5 \sqrt{3} \times 10^{-10} \mathrm{Nm}\)

(c) \(\frac{\sqrt{3}}{5} \times 10^{-7} \mathrm{Nm}\)

(d) None of these