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An arrow 2.5 cm high is placed at a distance of
25 cm from a diverging mirror of focal length
20 cm. Find the nature, position and size
of the image formed.
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Answer:
h1 = +2.5cm
u = -25cm
f = +20cm
1/f = 1/v + 1/u
1/20 = 1/v -1/25
1/v = 1/20 + 1/25
1/v = 9/100
v = +11.11 cm
m = h2/h1 = -v/u
h2/2.5 = -11.11/-25
h2 = +1.11 cm
Hence the image will be formed at 11.11 cm behind the mirror, which will be virtual, erect and of 1.11cm size.
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