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The driving mirror of a car has a radius of cur... - JAMB Physics 2001 Question

The driving mirror of a car has a radius of curvature of 1m. A vehicle behind the car is 4m from the mirror. Find the image distance behind the mirror.

A
8/7
B
4/9
C
9/2
D
4/7
Ask EduPadi AI...
Correct Option: B

A driving mirror is always a convex mirror which is always of negative focal length and always forms a virtual image

Thus if r = 1m = 100cm

f = 1/2 = -50

∴ if U = 4cm = 400cm

f = -50cm

∴1/u + 1/v = 1/f

1/400 + 1/v = -1/50

∴ -1/v = 1/400 + 1/50

-1/v = (1 + 8)/400 = 9/400

∴ v = -400/9

v = 4/9

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