TS EAMCET · Physics · Ray Optics

Statement (S) : Using Huygen's eye-piece measurements can be taken but are not correct. Reason (R) : The cross wires, scale and final image are not magnified proportionately because the image of the object is magnified by two lenses, whereas the cross wire scale is magnified by one lens only. Identify the correct one of the following

A Both \((\mathrm{S})\) and \((\mathrm{R})\) are true, (R) explains (S).
B Both (S) and (R) are true, but (R) cannot explain (S).
C Only (S) is correct, but (R) is wrong.
D Both \((\mathrm{S})\) and \((\mathrm{R})\) are wrong.

Verified Solution

Answer & Solution

Correct Answer

(A) Both \((\mathrm{S})\) and \((\mathrm{R})\) are true, (R) explains (S).

Step-by-step Solution

Detailed explanation

Using Huygen's eye-piece, measurements can be taken but not accurately due to the reason given.

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.

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