an object is placed at a distance of 12cm in front of a concave mirror and the image formed behind the mirror at a distance of 48 cm from the mirror.what is the nature of the image ? calculate the focal length of the given mirror.
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GIVEN:
- Object distance = - 12 cm
(object distance is always negative as distance is measured form the pole of the
mirror)
- image distance = + 48 cm
SOLUTION :
As per the mirror formula
1 / f = 1 / v + 1 / u
1 / f = 1 / 48 - 1 / 12
1 / f = 1 - 4 / 48
f = - 48 / 3
f = - 16 cm
focal length = -16 cm
Magnification = - v / u = - 48 / - 12 = +4
ANSWER :
The image formed is enlarged , real and inverted
( formed behind the mirror )
focal length = - 16 cm
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