an object is placed 20.0 CM in front of a concave mirror of focal length 15.0 CM. find the distance and nature of the image formed.
Answers
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Explanation:
object is placed at distance of 20 cm in front of concave mirror.
u = - 20 cm ( object is placed to the left of the mirror)
focal length of concave mirror, f= - 12 cm (focal length of concave mirror)
To find: position of image, v
By mirror formula,
1 over f equals 1 over v plus 1 over u
fraction numerator 1 over denominator negative 12 end fraction equals 1 over v plus fraction numerator 1 over denominator negative 20 end fraction 1 over v equals fraction numerator 1 over denominator negative 12 end fraction minus fraction numerator 1 over denominator negative 20 end fraction 1 over v equals negative space 8 over 240 equals negative space space 0.033 rightwards double arrow space v equals space space minus 30 space c m space
The negative sign indicates that the image is formed at the same side as that of object. The image distance is 30 cm.
Thus, it is formed beyond centre of curvature and the nature of image is real, inverted and magnified.