Find the position of the image behind the mirror when an object of height 3 cm is placed 60 cm from a convex mirror of focal length 15 cm.
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Secondary SchoolPhysics 5 points
A 5 cm tall object is placed at a distance of 30 cm from a convex mirror of focal length 15 cm. find the position, size and nature of the image formed.
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abhi178
abhi178
Height of object , h = 5cm
object distance from the convex mirror, u = -30 cm
focal length of convex mirror, f = +15cm
now, use formula 1/v + 1/u = 1/f
or, 1/v + 1/-30 = 1/15
or, 1/v = 1/15 + 1/30 = 3/30
or, v = +10cm
hence, position of image is 30cm right side from the pole of convex mirror.
magnification = -v/u
height of image/height of object = - (+10)/(-30) = +1/3
height of image/5cm = 1/3
height of image = 5/3cm = 1.67cm
hence, virtual image is formed by the convex mirror and the size of image is smaller than size of object.
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