A truck uses a convex mirror as view finder whose radius of curvature is 2.0 m. A maruti car is coming behind the truck at a distance of 10 m. What will be the position of the image of the car and size of the image of the car when observed by the driver of the truck through the convex mirror?

Explanation

For convex mirror, we have given , u= -10 m , R = 2.0 m
So, `f = R/2 =(2.0)/(2) = 1.0`
Using the mirror formula , `1/u + 1/v = 1/f`
We get `1/v = 1/f - 1/u = 1/(1.0) + 1/(10) = (11)/(10) ` or `, v =(10)/(11) = 0.9 m`
Thus, the car would appear at 0.9 m from the convex mirror. We know that
`m = - v/u -= (-(10)/(11))/((11)/(-10)) = 1/(11)`
Thus, size of the image of the car will be a fraction of `1/(11)` the actual size of the car through the convex mirror.