A microscope consists of an objective of focal length \(1.9 \mathrm{~cm}\) and eye piece of focal length \(5 \mathrm{~cm}\). The two lenses are kept at a distance of \(10.5 \mathrm{~cm}\). If the image is to be formed at the least distance of distinct vision, the distance at which the object is to be placed before the objective is (least distance of distinct vision is \(25 \mathrm{~cm}\) )

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.