Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert

In the figure shown here, what is the equivalent focal length of the combination of lenses (Assume that all layers are thin)?

 

PhysicsRay OpticsNEETNEET 2023 (All India)
Options:
  • A -50 cm
  • B 40 cm
  • C -40 cm
  • D -100 cm
Solution:
1103 Upvotes Verified Answer
The correct answer is: -100 cm

The focal length fL of the left plano-concave lens can be calculated as follows-

1fL=n-11R1-1R2= 1.6-11-120 cm= -0.620 cm   ...1

The focal length fM of the middle bi-convex lens can be calculated as follows-

1fM=n-11R1-1R2= 1.5-1120 cm-1-20 cm= 0.510 cm   ...2

The focal length fR of the right plano-concave lens can be calculated as follows-

1fR=n-11R1-1R2= 1.6-11-20 cm-1= -0.620 cm   ...3

Hence, the effective focal length f of the combination of lenses can be calculated as follows-

1f=1fL+1fM+1fR= -0.620 cm+0.510 cm-0.620 cm= -0.110 cmf= -100 cm

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.