Q. If the focal length of the lens is 20 cm, what is the distance of the image from the lens in the following figure?

A) 5.5 cm
B) 7.5 cm
C) 12.0 cm
D) 20.0 cm
Explanation

(b) The point on the right side of the lens at will rays converge will behave as virtual object of the lens.
$\therefore\ u = \ + 12\ cm,\ f = 20\ cm$
From the relation
$\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$
$\therefore\ \frac{1}{20} = \frac{1}{v} - \frac{1}{12}$
$\Longrightarrow \frac{1}{v} = \frac{1}{20} + \frac{1}{12}$
$= \frac{3 + 5}{60} = \frac{8}{60}$
$\therefore\ u = \frac{60}{8} = 7.5\ cm$
So, image will be formed on same side of the virtual object at a distance of 7.5 cm from the lens.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.