A coil of resistance \(8 \Omega\), number of turns 250 and area \(120 \mathrm{~cm}^2\) is placed in a uniform magnetic field of 2 T such that the plane of the coil makes an angle of \(\frac{\pi}{6}\) with the direction of the magnetic field. In a time of 100 ms, the coil is rotated until its plane becomes parallel to the direction of the magnetic field. The current induced in the coil is

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.