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JEE Advanced2023PhysicsRay OpticsActual

An optical arrangement consists of two concave mirrors M 1 and M 2 , and a convex lens L with a common principal axis, as shown in the figure. The focal length of L is 10 cm . The radii of curvature of M 1 and M 2 are 20 cm and 24 cm , respectively. The distance between L and M 2 is 20 cm . A point object S is placed at the mid-point between L and M 2 on the axis. When the distance between L and M 1 is n 7 cm , one o

Correct answer

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Step-by-step solution

For reflection from M 2 : Applying mirror formula, we get 1 v + 1 - 10 = 1 - 12 ⇒ 1 v = 1 10 - 1 12 ⇒ v = + 60   cm (for I 1 ) For refraction from L : Applying lens equation, we get 1 v - 1 u = 1 f ⇒ 1 v - 1 - 80 = 1 10 ⇒ v = + 80 7 (for I 2 ) This image should be at focus of M 1 ∴   20 2 + 80 7 = n 7 ⇒ n = 150 Also, If I 2 is formed at pole of M 1 then n 7 = 80 7 ⇒ n = 80 And further if I 2 is formed at centre of curvature of M 1 then n 7 = 80 7 + 20 ∴ &#16

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