Question

A convex mirror used for rear view on an automobile has a radius of curvature of 3.00 m. If a bus is located at 5.00 m from this mirror, find the position, nature and magnification of the image.

Answer 1

Correct Answer - 1.15 m at the back of mirror ; virtual, erect ; 0.23
Here, `R = 3.00 m, u = -5.00 m v = ? m = ?`
`f = R/2 = (3.00)/2 = 1.5m`
From `(1)/(v) + 1/u = (1)/(f), (1)/(v) = (1)/(f) -1/u = 2/3 + 1/5 =13/15 or v = 15/13 m = 1.15 m`
The image is virtual, erect and 1.15 m at the back of the mirror.
Also `m = (-v)/u = (-15//13)/(-5.00) = 0.23`