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A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it?
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- 12 cm
- 30 cm
- 50 cm
- 60 cm
Correct Option: C
For the lens,
| - | = | ; | - | = | ⇒ v = 60 cm | ||||||
| v | u | f | v | -30 | 20 |
Coincidence is possible when the image is formed at the centre of curvature of the mirror. Only then the rays refracting through the lens will fall normally on the convex mirror and retrace their path to form the image at O. So, the distance between lens and mirror = 60 – 10 = 50 cm.
