Q. A convex lens is immersed in a liquid, whose refractive index is equal to the refractive index of the material of the lens. Then its focal length will

A) Decrease
B) Become zero
C) Become infinite
D) Increase
Explanation

(c) Given, $\ _{a}\mu_{g} = \ _{a}\mu_{e}$
The focal length of convex lens in liquid $f$ is given by
$\frac{1}{f} = \left( \frac{\ _{a}\mu_{g}}{\ ₐ\ _{a}\mu_{e}ₑ} - 1 \right)\left( \frac{1}{R_{1}} - \frac{1}{R_{2}} \right)$
$\frac{1}{f} = (1 - 1)\left( \frac{1}{R_{1}} - \frac{1}{R_{2}} \right)\ $
$\frac{1}{f} = 0$
$Or\ \ f = \ \infty$
Its focal length will become infinite.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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