Light from a point source in air falls on a convex curved surface of radius 20 cm and refractive index 1.5. If the source is located at 100 cm from the convex surface, the image will be formed at ________ cm from the object. Numerical answer type. Work it out, then open the answer.

Answer: 200. 1.5/v - 1/-100 = 0.5/20 = 0.025 1.5/v = 0.015 ⇒ v = 100 cm (inside glass). Distance from object = 100 + 100 = 200 cm. So the answer is 200 cm.

Light from a point source in air falls on a convex curved surface of… | JEE Main 2024 (31 Jan, Shift 2)

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Spherical Surfaces & Thin Lenses

Light from a point source in air falls on a convex curved surface of radius $20\text{ cm}$ and refractive index 1.5. If the source is located at $100\text{ cm}$ from the convex surface, the image will be formed at ________ $\text{cm}$ from the object.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 200

$\frac{1.5}{v} - \frac{1}{-100} = \frac{0.5}{20} = 0.025$
$\frac{1.5}{v} = 0.015 \Rightarrow v = 100$ cm (inside glass).
Distance from object $= 100 + 100 = 200$ cm.
So the answer is 200 cm.

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