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Question

An object of height 1cm is kept perpendicular to the principal axis of a convex mirror of radius of curvature 20cm. If the distance of the object from the mirror is 20cm then the distance (in cm) between heads of the image and the object will be:

A
64049
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B
64149
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C
403
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D
none of these
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Solution

The correct option is A 64049
Use co-ordinate system position of object head with respect to pole of convex mirror is (20,1)
f=+202=+10cm1v+1u=1f1v=1f1u=110+120v=20030=203cm
Now, vu=HiHoorHi=203×20×1=+13
co-ordinates of head of image is (203,+13)
distance between two heads
=(20203)2+{1(+13)}2=64009+49=64049

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