Sunday, October 30, 2011

Spherical Mirror Problem

A rear view mirror used in a bus has a radius of curvature 3.5 m. If the driver of the bus locates a car at 10.0m behind the bus, find the position, nature and size of the image of the car.

Ans:

f = r/2=-1.75 m

u=-10m

v=?

$\LARGE \inline f=\frac{uv}{u+v}$

$\LARGE \inline v=\frac{uf}{u-f}$
$\LARGE \inline v=\frac{-10 \times -1.75}{-10-(-1.75))}=\frac{17.5}{8.25}=2.12m$