Ray Optics and Optical Instruments - Result Question 26

26. Two similar thin equi-convex lenses, of focal length f each, are kept coaxially in contact with each other such that the focal length of the combination is F1. When the space between the two lenses is filled with glycerin (which has the same refractive index ( =1.5) as that of glass) then the equivalent focal length is F2. The ratio F1:F2 will be:

(a) 2:1

(b) 1:2

(c) 2:3

(d) 3:4

[2019]

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Answer:

Correct Answer: 26. (b)

Solution:

  1. (b)

Equivalent focal length in air

1F1=1f+1f=2f

F1=f2

When glycerin is filled inside, it behaves like a concave lens of focal length (-f)

1F2=1f+1f1fF2=f

Dividing (i) by (ii), we get

F1F2=12



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