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Q.

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

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a

2.6 m from the mirror, real

b

1 m from the mirror, virtual

c

1 m from the mirror, real

d

2.6 m from the mirror, virtual

answer is A.

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Detailed Solution

Question Image

$∴ u = (- 1) + (- 1) + (- 1) = - 3 m$

$Using lens formula, \frac{1}{v} - \frac{1}{u} = \frac{1}{f}$

$\frac{1}{v} = \frac{1}{f} + \frac{1}{u} = \frac{1}{+ 0.5} + \frac{1}{- 3} or v = \frac{3}{5} = 0.6 m$

Hence, distance of image from mirror

$= 2 + 0.6 = 2.6 m$ and real.

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