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Grade 12th passIIT JEE Entrance Exam

A bi-convex lens is formed with two thin plano-convex lenses as shown in the figure. Refractive indexn of
the first lens is 1.5 and that of the second lens is 1.2. Both the curved surfaces are of the same radius of
curvature R = 14 cm. For this bi-convex lens, for an object distance of 40 cm, the image distance will be

Profile image of lokesh
11 Years agoGrade 12th pass
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1 Answer

Profile image of Vikas TU
6 Years ago
Given refractive index of lens 1 n₁ = 1.5 and  
refractive index of lens 1 n₂ = 1.2
Radius of curvature R₁ = 14 cm
Object distance u = - 40 cm
We know,
(1/f) = (μ -1) ( 1/R₁ - 1/R₂)
Thus the combined focal length will be
(1/f) = (1.5 -1)(1/14 - 1/∞) +(1.2 - 1)( 1/14 - 1/∞)
(1/f) = (0.5/14)+(0.2/14)
f =20 cm
From lens formula we have,
(1/v) - (1/u) =(1/f)
(1/v) = (1/f) + (1/u)
(1/v) = (1/20) -(1/40)
v = 40 cm