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A convex mirror used on a bus has a focal length of 200cm.If a scooter is located at 100cm.from this mirror find the position, nature and magnification of the image formed in the mirror.

Answer»

Given:f=200cmu=100cmv=?mirror formula:1/f=1/u+1/vby sign conventions:1/200=1/-100+1/v1/v=1/200+1/100=3/200v=200/3=66.6cmtherefore the IMAGE is FORMED at 66.6cm BEHIND the mirror and it is virtual image.m=-v/u=-66.6/-100 =66.6/100=0.66∴The image is ERECT and smaller in size by a factor of 0.66



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