Question

If the strength of a lens is the reciprocal of its focal length (1/1), which of the following lenses will have the greatest streng

Multiple Choice
A.A lens with a focal length of fom
B.A lens with a focal length of 100 mm
C.A lens with a focal length of 1 mm
D.A lens with a focal length of 0.1 mM

Answer 1

The lens with the greatest strength (highest diopters) is the one with the shortest focal length. In this case, it is the lens with a focal length of 0.1 mm, which, when converted to meters and calculated for power, will have the strength of 10000 D. correct option in the final answer is (D)

Step-by-step explanation:

The strength of a lens is defined as the reciprocal of its focal length in meters, which is measured in diopters (D). To find the lens with the greatest strength, we need to consider the lens with the shortest focal length because the shorter the focal length, the higher the power will be since power (P) is equal to 1/focal length (f).

Let's compare the focal lengths given:

• A lens with a focal length of 10 mm (0.010 m)
• A lens with a focal length of 100 mm (0.100 m)
• A lens with a focal length of 1 mm (0.001 m)
• A lens with a focal length of 0.1 mm (0.0001 m)

Using the formula P = 1/f, the lens with the shortest focal length, which is 0.1 mm (or 0.0001 m), will have the greatest power:

P = 1/0.0001 = 10000 D