Here, \(\theta=30^{\circ}, I =0.018\, N-m , B =0.06 T\)
\(\Rightarrow 0.018= M \times 0.06 \times \sin 30^{\circ}\)
\(\Rightarrow 0.018=M \times 0.06 \times \frac{1}{2}\)
\(\Rightarrow M =0.6 A - m ^{2}\)
Now \(v=-M B \cos \theta\)
Position of stable equilibrium \(\left(\theta=0^{\circ}\right)\)
\(u _{ i }=- MB\)
Position of unstable equilibrium \(\left(\theta=180^{\circ}\right)\) :
\(u _{ f }= MB\)
\(\Rightarrow\) work done : \(\Delta U\)
\(\Rightarrow W =2 MB\)
\(\Rightarrow W =2 \times 0.6 \times 0.06\)
\(\Rightarrow W =7.2 \times 10^{-2} J\)