एक संयुक्त सूक्ष्मदर्शी में अभिदृश्यक लेन्स की फोकस लम्बाई \(1.2 \;cm\) और नेत्रिका की फोकस लम्बाई \(3.0 \;cm\) हैं। जब वस्तु को अभिदृश्यक के सामने \(1.25 \;cm\) की दूरी पर रखा जाता है, तब अन्तिम प्रतिबिम्ब अनन्त पर बनता है। संयुक्त सूक्ष्मदर्शी की आवर्धन शक्ति होनी चाहिए

A \(200\)
B \(100\)
C \(400\)
D \(150\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(200\)

Step-by-step Solution

Detailed explanation

Given \(: f_{0}=1.2\, \mathrm{cm} ; f_{\mathrm{e}}=3.0 \,\mathrm{cm}\) \(u_{0}=1.25\, \mathrm{cm} ; M_{\infty}=?\) From \(\frac{1}{f_{0}}=\frac{1}{v_{0}}-\frac{1}{u_{0}}\) \(\Rightarrow \frac{1}{1.2}=\frac{1}{v_{0}}-\frac{1}{(-1.25)}\)…

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.

Same subject

Explore more questions on app

From JEE Mains

Explore more questions on app