Geometrical Optics | JEE Main 2025 Solution | Cut Lens

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JEE MAIN 2025

29-01-2025 SHIFT-2

Question

Two identical symmetric double convex lenses of focal length $f$ are cut into two equal parts $\mathrm{L}_{1}, \mathrm{~L}_{2}$ by $A B$ plane and $L_{3}, L_{4}$ by $X Y$ plane as shown in figure respectively. The ratio of focal lengths of lenses $L_{1}$ and $L_{3}$ is

Select the correct option:

A

2 : 1

B

$1 : 4$

C

$1 : 2$

D

$1: 1$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$f_{L_{1}}=f_{L_{2}}=f ; f_{L_{3}}=f_{L_{4}}=2 f$
$\therefore \mathrm{f}_{\mathrm{L}_{1}}: \mathrm{f}_{\mathrm{L}_{3}}=1: 2$

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