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Question

A concave mirror gives an image three times as large as the object placed at a distance of 20 cm from it. For the image to be real, the focal length should be.

A
10 cm
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B
15 cm
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C
20 cm
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D
30 cm
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Solution

The correct option is A 15 cm
Since the image formed by concave mirror is real ,so it must be an inverted image.
Distance of object from mirror u=20cm
Since image is inverted then the magnification will be negative ,hence m=3
Magnification m=3=vu
m=3=v20
v=60cm
we know for mirror
1f=1v+1u
1f=160+120
1f=602060×20=801200=115
f=15cm

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