JEE Advanced 2010 Physics question

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is

(A)virtual and at a distance of 16 cm from the mirror
(B)real and at a distance of 16 cm from the mirrorCorrect
(C)virtual and at a distance of 20 cm from the mirror
(D)real and at a distance of 20 cm from the mirror

Answer: (B)

Solution

Refraction at the lens: cm, cm: cm. This image would form 30 cm beyond the lens, i.e. 20 cm behind the mirror, so it acts as a virtual object for the plane mirror. Reflection: the plane mirror forms its

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Question ID VK-025858