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Question: Answered & Verified by Expert
A plano - convex lens (focal length f2 , refractive index μ2, radius of curvature R) fits exactly into a plano - concave lens (focal length f1, refractive index μ1, radius of curvature R). Their plane surfaces are parallel to each other. Then, the focal length of the combination will be:
PhysicsRay OpticsJEE MainJEE Main 2019 (12 Jan Shift 2)
Options:
  • A Rμ2 - μ1
  • B f1-f2
  • C f1+f2
  • D 2f1f2f1+f2
Solution:
2978 Upvotes Verified Answer
The correct answer is: Rμ2 - μ1
1f1=μ1-11-R-1ω 1f2=μ2-11R-1ω

When joined together

1feq=1f1+1f2=μ2-1-R+μ2-1R=μ2-μ1R

feq=Rμ2-μ1

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