If an object is placed at a distance of 10 cm from a spherical mirror and its virtual image is formed at a distance of 5 cm from the mirror. Find the focal length and nature of the mirror.
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Since it is a convex mirror, therefore u= -ve and since the image is formed behind the mirror, therefore v= +ve.
The formula for mirror is-
1/v + 1/u = 1/f
1/f = 1/5 + 1/-10
1/f = 1/5 - 1/10
1/f = 2–1/10
1/f = 1/10
f = 10cm
Therefore, the focal length of the convex mirror is 10cm.
Explanation:
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