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Question 15
An object of size 7.0 cm is placed at 27 cm in front of a concave mirror of focal length 18 cm. At what distance from the mirror should a screen be placed so that a sharp focused image can be obtained? Find the size and the nature of the image.


Solution

Object distance, u=27 cm
Focal length, f=18 cm
Height of the object, h0=7.0 cm
According to mirror formula,
1f=1u+1v
1v=1f1u
1v=118+127=154
Image distance,v=54 cm
Screen must be placed at a distance of 54 cm from the mirror in front of it.
hih0=vu
hi7=5427=2
Height of the image, hi=2×7=14 cm
Thus, the image is of 14 cm length and is inverted image.

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