A metal loop of area \(10 \mathrm{~cm}^2\) is placed in a region such that its area vector points along \(\hat{\mathrm{k}}\). The region contains a uniform magnetic field of magnitude \(1.73 \mathrm{~T}\) that points in the direction \(\hat{i}+\hat{j}+\hat{k}\). When the magnetic field is switched off, the field decreases to zero at a steady rate in \(10 \mathrm{~s}\), then the magnitude of emf induced in the loop 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.