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← JEE Main 2022 · 25 Jul · Shift 2
PhysicsInteger+4 / -1Question 59 of 90

JEE Main 2022 · 25 Jul · Shift 2, Physics question 59

A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10 cm. A point object is placed on principal axis at a distance of 60 cm from the convex lens. The image formed by combination coincides the object itself. The focal length of the convex mirror is ______ cm.

Answer and worked solution

Official answer: 10

Lens image of the object at 60 cm is at 30 cm, i.e. 20 cm behind the mirror. For rays to retrace, this point is the mirror's centre of curvature: R=20R=20 cm, f=10f=10 cm.

Answer: 10