A glass cube of length 21 cm has a small air bubble trapped inside. When viewed normally from one face, its apparent distance is 8 cm. When viewed normally from the opposite face, its apparent distance is 6 cm.
The refractive index of the glass and the actual distance of the air bubble from the first surface respectively are:

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.