CBSE Class 12 Physics 2023 Outside Delhi Set 1 Paper

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Question : 21 of 35
 
Marks: +1, -0
In the given figure the radius of curvature of curved face in the plano-convex and the plano-concave lens is 15cm each. The refractive index of the material of the lenses is 1.5. Find the final position of the image formed.
Solution:
Focal length of plano-convex lens be f1
1f1=(1.5−1)(115−1∞)
Or,1f1=130
∴ f1=30cm
Focal length of plano-concave lens be f2
1f2=(1.5−1)(1∞−115)
∴f2=−30cm
since, parallel rays are incident on the plano convex lens it will form an image at a distance 30cm from the lens (since, focal length is 30cm ).
This image will act as an object for the plano concave lens.
Object distance =30−20=10cm
Applying lens formula,
1v2−1u2=1f2
Or, 1v2−110=−130
So, v2=15cm
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