1.5 વક્રીભવનાંકવાળા સમતલ બહિર્ગોળ લેન્સની વક્રતાત્રિજ્યા 60 cm હોય તો તેની કેન્દ્રલંબાઈ __________ cm છે.

A -60
B 120
C 60
D -120

Verified Solution

Answer & Solution

Correct Answer

(B) 120

Step-by-step Solution

Detailed explanation

B.120
લેન્સ મેકરના સમીકરણ
\(\frac{1}{f}=(n-1)\left(\frac{1}{ R _1}-\frac{1}{ R _2}\right)\)
\(\therefore \frac{1}{f}=(1.5-1)\left(\frac{1}{\infty}-\frac{1}{-60}\right)\)
\(\therefore \frac{1}{f}=0.5 \times \frac{1}{60}\)
\(\therefore f=120 cm\)

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.

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