એક માઇક્રોસ્કોપમાં 2 cm કેન્દ્રલંબાઈનો ઑબ્જેક્ટિવ, 4 cm કેન્દ્રલંબાઈનો આઈપીસ (નેત્રિકા) અને ટ્યુબની લંબાઈ 40 cm છે. જો આંખ માટે સ્પષ્ટ દ્રષ્ટિનું લઘુત્તમ અંતર 25 cm હોય, તો માઇક્રોસ્કોપમાં મોટવણી ________ છે:

A 100
B 125
C 150
D 250

Verified Solution

Answer & Solution

Correct Answer

(B) 125

Step-by-step Solution

Detailed explanation

\(\begin{array}{cl}f _0=2 cm & f _e=4 cm \\ L =40 cm & D =25 cm\end{array}\)
સામાન્ય ગોઠવણની સ્થિતિમાં.
\(\begin{aligned} m & =\frac{ L }{ f _0} \cdot \frac{ D }{ f _e} \\ & =\frac{40}{2} \times \frac{25}{4} \\ & =125\end{aligned}\)

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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