Q. A double convex thin lens made of refractive index 1.6 has radii of curvature 15 cm each. The focal length of this lens when immersed in a fluid of refractive index 1.63, is

A) 25 cm
B) 125 cm
C) 250 cm
D) -407.5 cm
Explanation

(d) Focal length of lens in given by
$\frac{1}{f_{w}} = \ \left( \mu_{g} - 1 \right)\left( \frac{1}{R_{1}} - \frac{1}{R_{2}} \right)$
$= \left( \frac{1.6}{1.63} - 1 \right)\left( \frac{1}{15} + \frac{1}{15} \right)$
$= - \frac{0.03 \times 2}{1.63 \times 15} = \frac{- 6}{1.63 \times 15}$
$so,\ \ f_{w} = \ - \frac{815}{2}$
$= - 407.5\ cm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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