Ray Optics and Optical Instruments - Result Question 42

44. A luminous object is placed at a distance of 30cm from the convex lens of focal length 20cm. 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?

(a) 12cm

(b) 30cm

(c) 50cm

(d) 60cm

[1998]

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Answer:

Correct Answer: 44. (c)

Solution:

  1. (c)

For the lens,

1v1u=1f;1v130=120v=60cm

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 =6010=50cm.



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