A point source of light is placed in air, 100 cm away from a convex spherical surface, made of material of refractive index 1.5 and having radius of curvature = 20 cm. If the source emits light, at what position from the convex surface image will be formed?

Explanation

To find the position of the image formed by the convex spherical surface, we can use the formula for refraction at a spherical surface:

\[ \frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R} \]

Where:
- \( \mu_2 \) = refractive index of the medium where the image is formed (1.5 for the convex surface)
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