Question

A 1 cm tall light bulb is placed at a distance of 50 cm from a convex mirror having a focal length of 10 cm. The height of the image is:

• A. 6/5 cm
• B. -6/5 cm
• C. -5/6 cm
• D. 5/6 cm

Answer 1

The correct option is D

5/6 cm

$\frac{1}{u}+\frac{1}{v}=\frac{1}{f},$

$\frac{1}{-50}+\frac{1}{v}=\frac{1}{10}$ (u is negative as it is towards left of optical centre).

$Therefore,v=\frac{50}{60}cm.$

Now, $\frac{v}{u}=\frac{heightofimage}{heightofobject}$

$Therefore,heightofimage=\frac{5}{6}cm.$