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Question

A point object is placed at a distance 10cm and its real image is formed at a distance of 20cm from concave mirror. If the object is moved by 0.1cm towards the mirror, the image will shift by about

A
0.4cm away from the mirror
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B
0.4cm towards the mirror
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C
0.8cm away from the mirror
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D
0.8cm towards the mirror
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Solution

The correct option is A 0.4cm away from the mirror
Weknow1f=1u+1v;wheref=focallength=?u=initialdistance=20cmv=finaldistance=10cm1f=120+1(10)f=203cmNowobjectmovedtowardsthemirror=0.1cm,sothenewvalueofu=9.9cmAgain1f=1u1+1v11f1u1=1v11v1=3201(9.9)v1=20.4cmThechangeinfinaldistance=20.4cm20cm=0.4cmv=9×16003600=4cm/s

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