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Ray Optics and Optical Instruments

  1. 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
    1. R
      2(µ1 - µ2)
    2. R
      1 - µ2)
    3. 2R
      2 - µ1)
    4. R
      2(µ1 + µ2)
Correct Option: B


1
=
1
+
1
ff1f2

= (μ1 - 1)
1
-
1
+ (μ2 - 1)
1
-
1
-RR

=
1 - 1)
-
2 - 1)
1
=
μ1 - μ2
RRfR

⇒ f =
R
μ1 - μ2

Hence, focal length of the combination is
R
μ1 - μ2



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