A man looks into a convex spherical mirror of radius 30 cm. If his face is 10 cm from the vertex of the mirror, where is his image located? What is the magnification?
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Answer:
40 cm is right answer
Explanation:
30+10
Answered by
1
Given info : A man looks into a convex spherical mirror of radius 30 cm. If his face is 10 cm from the vertex of the mirror.
To find : the position of image and the magnification are ...
solution : radius of convex mirror is 30cm.
∴ focal length of convex mirror , f = 30/2 = 15cm
object distance from the mirror , u = - 10cm
using formula,
1/v + 1/u = 1/f
⇒ 1/v + 1/-10 = 1/15
⇒ 1/v = 1/15 + 1/10 = 25/150 = 1/6
⇒ v = 6 cm
therefore the position of the image is 6cm from the mirror just opposite side of object.
magnification, m = -v/u
= -6/(-10) = 0.6
therefore the magnification of object is 0.6.
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