Optics 3 Question 14

14. A bi-convex lens is formed with two thin plano-convex lenses as shown in the figure. Refractive index n 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=14cm.

For this bi-convex lens, for an object

distance of 40cm, the image distance will be

(2012)

(a) 280.0cm

(b) 40.0cm

(c) 21.5cm

(d) 13.3cm

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Answer:

Correct Answer: 14. (b)

Solution:

  1. Using the lens formula,

1v1u=1F=1f1+1f2 or 1v=1u+1f1+1f2=1u+(n11)1R11R2+(n21)1R11R2

Substituting the values, we get

1v=140+(1.51)1141+(1.21)1114

Solving this equations, we get

v=+40cm



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