Q.

A point like object is placed at a distance of 1m in front of a convex lens of focal length 0.5 m. A plane mirror is placed at a distance of 2m behind the lens. The position and nature of the final image formed by the system is :

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a

1m from the mirror, virtual

b

2.6 m from the mirror, real

c

1m from the mirror, real

d

2.6 m from the mirror, virtual

answer is B.

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Detailed Solution

Lens Formula, ​1v1−1−1=10.5​⇒v1=1m   Now, I1 will act like object for plane mirror.​So, I2  will be formed 1m behind the mirror. ​Now, I2 will act like object for convex lens.Lens formula,           ​ 1v3−1−3=10.5​⇒v3=35mSo, real image I3 is formed at 0.6 m on left of lens or 2.6m from mirror.
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A point like object is placed at a distance of 1m in front of a convex lens of focal length 0.5 m. A plane mirror is placed at a distance of 2m behind the lens. The position and nature of the final image formed by the system is :