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Question
An object is placed 60 cm in front of a convex mirror of focal length 30 cm. A plane mirror is now placed facing the object in between the object and the convex mirror such that it covers lower half of the convex mirror. What should be the distance of the plane mirror from the object so that there will be no parallax between the images formed by the two mirrors?
An object is placed 60 cm in front of a convex mirror of focal length 30 cm. A plane mirror is now placed facing the object in between the object and the convex mirror such that it covers lower half of the convex mirror. What should be the distance of the plane mirror from the object so that there will be no parallax between the images formed by the two mirrors?
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Solution
The correct option is A 40 cm
For convex mirror,
1v+1u=1f⇒1q−160=130⇒q=20 cm
Plane mirror forms image at the same distance as the object
Hence, for condition of no parallax,
x=(60−x)+q
⇒x=60−x+20⇒x=40 cm
For convex mirror,
1v+1u=1f⇒1q−160=130⇒q=20 cm
Plane mirror forms image at the same distance as the object
Hence, for condition of no parallax,
x=(60−x)+q
⇒x=60−x+20⇒x=40 cm
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