Q. A convex and a concave lens separated by distance $d$are then put in contact. The focal length of the combination

A) Decreases
B) Increases
C) Becomes zero
D) Remains the same
Explanation

(a) When two lenses are placed coaxially at a distance $d$ from each other, then equivalent focal length (F) is given by
$\frac{1}{F} = \frac{1}{f₁} + \frac{1}{f₂} - \frac{d}{f₁f₂}$
When the lenses are put together,
$d = 0$
Hence, the focal length of the combination will decrease.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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