Ray Optics and Optical Instruments - Result Question 30

30. A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices μ1 and μ2 and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is

[2013]

(a) R2(μ1μ2)

(b) R(μ1μ2)

(c) 2R(μ2μ1)

(d) R2(μ1+μ2)

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Answer:

Correct Answer: 30. (b)

Solution:

  1. (b) From the question,

Plano-convex Plano-concave

1f=1f1+1f2

=(μ11)(11R)+(μ21)(11R)

=(μ11)R(μ21)R1f=μ1μ2R

f=Rμ1μ2 Hence, focal length of the combination is

Rμ1μ2.



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