The image formed by a convex mirror of focal length 30 cm is the quarter of the size of the object distance from the mirror is equal to
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Explanation:
The formula for a convex mirror is
1/di + 1/do = 1/f and
m = di/do
where di = distance of the image
do = distance of the object
f = focal length
m = magnification
Here m =1/4 and f = 30 cm
di/do = 1/4 or do = 4di.
1/di + 1/4di = 1/30
(4+1)/4di = 1/30
4di = 5*30 = 150,
di = 150/4 = 37.5 cm and do = 150 cm.
The object is 150 cm from the convex mirror.
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