Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B . The separation between the images of $O$ , formed by each refracting surface is :

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For B ​ V μ 2 ​ ​ − u μ 1 ​ ​ = R μ 2 ​ − μ 1 ​ ​ V 1.5 ​ + 2 R ​ 1 ​ = − R 0.5 ​ V 1.5 ​ = − 2 R 1 ​ − R 2 ​ V 1.5 ​ = 2 R − 5 ​ ⇒ V B ​ = − 0.6 R ​ For A ​ V 1.5 ​ + 3 R 2 ​ = − R 0.5 ​ V 1.5 ​ = − 2 R 1 ​ − 3 R 2 ​ V 1.5 ​ = − 6 R 7 ​ V A ​ = − 7 9 ​ R ​ Distance between images = 2 R − ( 0.6 R + 7 9 ​ R ) = 0.114 R

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