Answer to Question #279079 in Physics for xieess

Question

1.An object is placed 67.4 cm from the convex mirror with a focal length of 21.4 cm.Determine the image distance

Answer 1

Given:

$d_o=67.4\:\rm cm$

$f=-21.4\:\rm cm$

The convex mirror equation says

$$\frac{1}{d_0}+\frac{1}{d_i}=\frac{1}{f}$$

Thus

$$\frac{1}{d_i}=\frac{1}{f}-\frac{1}{d_0}$$

$$\frac{1}{d_i}=\frac{1}{-21.4}-\frac{1}{67.4}=-0.0616\:\rm cm^{-1}$$

$$d_i=-16.2\:\rm cm$$