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Laws of Reflection

A luminous ob...

Question

A luminous object is placed at a distance of $30 c m$ from the convex lens of focal length $20 c m$ . On the other side of the lens, at what distance from the lens a convex mirror of radius of curvature $10 c m$ be placed in order to have an inverted image of the object coinciding with image formed by lens?

A

12 c m

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B

30 c m

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C

50 c m

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D

60 c m

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Solution

The correct option is C $50 c m$
For the lens,
$\frac{1}{v} = \frac{1}{f} + \frac{1}{u} = \frac{1}{20} - \frac{1}{30} = \frac{1}{60}$
$v = 60 c m$ .
To have an inverted image of the object, coincident with it, image should tend to form at centre of curvature of convex mirror.

Therefore, distance of convex mirror from the lens $= 60 - 10 = 50 c m$ .

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