\(f_1\)અને \(f_2\) કેન્દ્રલંબાઈવાળા સમઅક્ષીય એકબીજાના સંપર્કમાં રહેલા પાતળા લેન્સના સંયોજનનો પાવર છે.

A \(\frac{1}{\sqrt{f_1 f_2}}\)
B \(\frac{f_1+f_2}{2}\)
C \(\frac{f_1 f_2}{f_1+f_2}\)
D \(\frac{f_1+f_2}{f_1 f_2}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{f_1+f_2}{f_1 f_2}\)

Step-by-step Solution

Detailed explanation

D.\(\frac{f_1+f_2}{f_1 f_2}\)
સંયોજનની કેન્દ્રલંબાઈ
\(\frac{1}{f}=\frac{1}{f_1}+\frac{1}{f_2}\)
\(\therefore \quad P =\frac{f_1+f_2}{f_1 f_2}\)

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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