Step 1: Work done in rotating a magnet.
The work done in rotating a magnet is given by \( W = M \cdot B \cdot \theta \). The ratio of work done in rotating by \( 90^\circ \) and \( 60^\circ \) gives the value of \( n \).
Step 2: Conclusion.
The value of \( n \) is \( 1/2 \), corresponding to option (2).