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Question
A converging beam of light travelling in air converges at a point P as shown in the figure. When a glass sphere of refractive index 1 . 5 is introduced in between the path of the beam, calculate the new position of the image. Also draw the ray diagram for the image formed.
Solution
Case 1 : n1 = 1 n2 = 1.5
u = ∞
`1.5/V = 1/ ∞ = ((1.5 - 1))/5`
`1.5/V = 0.5/5`
V = 15 cm
case 2 :
`1/V - 1.5/15 = (1-1.5)/-5`
`1/V = 0.5/5 + 1.5/15`
`1/V = 1/20`
V = 20 cm
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