An object of height 6cm is placed at a distance of 10cm from convex mirror with radius of curvature 30cm find the height of it's image?
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Height of object, h = 6cm
R = 30cm
f = R/2
f = 15cm
Distance of object, u = – 10cm
using mirror formula
1/f = 1/u + 1/v
1/15 = 1/–10 + 1/v
1/15 + 1/10 = 1/v
(2+3) /30 = 1/v
5/30 = 1/v
1/6 = 1/v
v = 6cm
We know
– V / U = h' / h
(where h'is height of image and h is height of object)
– 6 / – 10 = h' / 6
(6 / 10) × 6 = h'
36 / 10 = h'
3.6 cm = h'
Ans : Height of the image is 3.6cm
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