A thin prism, refracting angle A 0 = 1 0 =
radian is kept in front of a concave mirror. The object is kept at the origin of the co-ordinate system. If the image is formed at co-ordinates (10 cm,
cm).Assuming para-axial ray approximation, determine the refractive index of prism –

Text Solution
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δ = ( μ – 1) A = 
Ι 1 act as an object for concave mirror.
After reflection at concave mirror final image will form after one more refraction at prism.

I 2 I 3 = 5 × ( μ – 1) 
Distance of I 2 from axis = 
Magnification at the second event

| m | = +
=
= 
= 
+
= 
μ – 1 = 0.5
μ = 1.5
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