Question

Car A is fitted with a convex mirror of focal length 20 cm. Car B is 6 meters behind the car A. Find the position of the car B when seen from the mirror of car A.

• A. $\frac{600}{33}cm$
• B. $\frac{600}{31}cm$
• C. $\frac{500}{33}cm$
• D. $\frac{500}{31}cm$

Answer 1

The correct option is B $\frac{600}{31}cm$

Given : f = 20 cm = 0.2 m; u = - 6 m

Using mirror formula,

$\Rightarrow$$\frac{1}{v}+\frac{1}{u}=\frac{1}{f}$
$\Rightarrow$$\frac{1}{v}+\frac{1}{-6}=\frac{1}{0.2}$

$\Rightarrow v=\frac{6}{31}m=\frac{600}{31}cm$