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Question

Physics Question on Optics

Light from a point source in air falls on a spherical glass surface (n = 1.5, radius of curvature = 10cm). The distance of the light source from the glass surface is 50 cm. The position at which the image is formed is:

A

100 cm in air

B

150 cm in glass

C

200 cm in air

D

50 cm in glass

Answer

150 cm in glass

Explanation

Solution

 We use the lens-maker’s formula:\text{ We use the lens-maker's formula:}
n1s+n2s=n2n1R\frac{n_1}{s} + \frac{n_2}{s'} = \frac{n_2 - n_1}{R}
Substitute n1=1,n2=1.5,R=10cm, and s=50cm. Solving this gives s=150cm.\text{Substitute } n_1 = 1, \, n_2 = 1.5, \, R = 10 \, \text{cm}, \text{ and } s = 50 \, \text{cm}. \text{ Solving this gives } s' = 150 \, \text{cm}.