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Convex side of a thin concavo-convex lens(μ=1.50) has a radius of curvature of 20cm. The concave surface has a radius of curvature 60cm. The concave part is filled with water of μ=1.33 and the convex side is silvered. What is the effective focal length of the optical system?

Convex side of a thin concavo-convex lens(μ=1.50) has a radius of curvature of 20cm. The concave surface has a radius of curvature 60cm. The concave part is filled with water of μ=1.33 and the convex side is silvered. What is the effective focal length of the optical system?

Grade:9

1 Answers

Arun
25763 Points
3 years ago
Dear student
Now the given case can be considered as combination of
1. A thin lens of Radius of curvatures given by R1= infinity and R2= -60 cm
and μ = 1.33 refractive index of water
it is a thin lens
thus focal length of this lens is f1= 181.81 cm.
2. A concavo convexlength of  R1= -60 and R2= -20 cm
and  μ = 1.5
thus focal length of it for the case of thin lens is f2=60 cm
and
3. A concave mirror of focal length f3= -R/2 = -10 cm
where R= 20cm
thus resultant focal length becomes 1/f = 1/f1 + 1/f2 + 1/f3
as distances between the lenses are zero
thus resultant focal length is -12.85 cm.
Regards
Arun (askIITians forum expert)

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