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Q.

Parallel rays of light falling on a convex spherical surface of radius of curvature $R = 20$ cm and refractive index $μ = 1.5$ as shown. After refractive from the spherical surface the parallel rays

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a

meet (or appear to meet) at a distance of 60 cm from the spherical surface

b

appear to meet after extending the refracted rays backwards

c

meet (or appear to meet) at a distance of 30 cm from the spherical surface

d

actually meet at some point

answer is B, C.

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Detailed Solution

Using, $\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R}$ we get

$\frac{1.5}{v} - \frac{1}{\infty} = \frac{1.5 - 1}{20}$

$\Rightarrow v = + 60 cm$

Since $v$ is positive, the rays actually meet.

Hence, $(2), (3)$ are correct.

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