A convex mirror used on a bus has a focal length of 200 cm. If a scooter is located at 400 cm from this mirror, find the position, nature and magnification of the image formed in the mirror.
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f = 200
u 400
1/∨ + 1/u = 1/f
1/∨ = 1/f - 1/u
1/∨ = 1/200 - 1/400
1/∨ = 400-200/80000
1/∨ = 200/80000 = 2/800
1/v = 1/400
v = 400 cm
m = -v/u
m = -400/400
m = -1
therefore the image is real and inverted
u 400
1/∨ + 1/u = 1/f
1/∨ = 1/f - 1/u
1/∨ = 1/200 - 1/400
1/∨ = 400-200/80000
1/∨ = 200/80000 = 2/800
1/v = 1/400
v = 400 cm
m = -v/u
m = -400/400
m = -1
therefore the image is real and inverted
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