Questions
An object is placed in front of a convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30 cm, it is found that there is no parallax between the images formed by the two mirrors. What is the radius of curvature of the convex mirror?
detailed solution
Correct option is A
As shown in figure, the plane mirror will form erect and virtual image of same size at a distance of 30 cm behind it. So, the distance of image formed by plane mirror from convex mirror will be PI: MI - MP.But as MI = MO.'. PI = MO - MP = 30 - 20 = 10 cmNow, as this image coincides with the image formed by convex mirror, therefore for convex mirror, u= -50 cm; v = +10 cm.So, 1+10+1-50=1f i.e., f=504=12.5 cmSo, R = 2f = 2 × 12.5 = 25 cmTalk to our academic expert!
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A convex mirror and a concave mirror of radius 10 cm each are placed 15 cm apart facing each other. An object is placed midway between them. If the reflection first takes place in the concave mirror and then in convex mirror, the position of the final image is
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