Two convex lenses with power 2 dioptre are kept in contact with each o

Two convex lenses with power 2 dioptre are kept in contact with each other. The focal length of the combined lens system is

0.10 m
2 m
4 m
0.25 m
This question was previously asked in
UPSC NDA-1 – 2018
When two thin lenses are kept in contact, the total power of the combination is the sum of the individual powers. The power of a lens (P) is given by the reciprocal of its focal length (f) in meters, i.e., P = 1/f.
Given the power of each lens is 2 Dioptre, the total power of the combined system is $P_{total} = P_1 + P_2 = 2 \, \text{D} + 2 \, \text{D} = 4 \, \text{D}$.
The focal length of the combined lens system (F) is the reciprocal of the total power: $F = 1 / P_{total} = 1 / 4 \, \text{D} = 0.25 \, \text{meters}$.
The power of lenses is additive when they are placed in contact. This property is useful for designing lens systems.
Dioptre (D) is the unit of power of a lens, defined as the reciprocal of the focal length in meters. A convex lens has positive power and focal length, while a concave lens has negative power and focal length.