an object of 5cm high placed in a distance of 10cm from convex mirror at a radius of curvature 30cm . find the nature, position and size of the image .
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Answer:
Explanation:
O=5 cm
u=10 cm
f=30 cm
By using formula,
1/v + 1/u = 1/f
1/v + 1/10 = 1/30
1/v = 1/30 - 1/10
1/v = (1-3)/30
1/v = -2/30
1/v = - 1/15
v = 15 cm [(-) ve]
Thus,
The image is formed between focus and pole. The image is real, inverted.
Size
By using formula,
I/O = -v/u
I/5 = - (-15)/10
I/5 = 15/10
I = (5x15)/10
I = 75/10
I = 7.5 cm
Thus,
Image is magnified and is of the size 7.5 cm with respect to the object.
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