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Question : 21
Total: 35
In the given figure the radius of curvature of curved face in the plano-convex and the plano-concave lens is 1 5 cm each. The refractive index of the material of the lenses is 1.5. Find the final position of the image formed.
Solution: 👈: Video Solution
Focal length of plano-convex lens be f 1
= ( 1.5 − 1 ) (
−
)
Or ,
=
∴ f 1 = 30 cm
Focal length of plano-concave lens bef 2
= ( 1.5 − 1 ) (
−
)
∴ f 2 = − 30 cm
since, parallel rays are incident on the plano convex lens it will form an image at a distance30 cm from the lens (since, focal length is 30 cm ).
This image will act as an object for the plano concave lens.
Object distance= 30 − 20 = 10 cm
Applying lens formula,
−
=
Or,
−
= −
So,v 2 = 15 cm
Focal length of plano-concave lens be
since, parallel rays are incident on the plano convex lens it will form an image at a distance
This image will act as an object for the plano concave lens.
Object distance
Applying lens formula,
So,
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