If a concave lens has a focal length of -15 cm, what is its power?
Practice Questions
Q1
If a concave lens has a focal length of -15 cm, what is its power?
-6.67 D
6.67 D
-15 D
15 D
Questions & Step-by-Step Solutions
If a concave lens has a focal length of -15 cm, what is its power?
Step 1: Understand that the focal length (f) of the lens is given as -15 cm. The negative sign indicates that it is a concave lens.
Step 2: Convert the focal length from centimeters to meters. Since 1 cm = 0.01 m, -15 cm = -0.15 m.
Step 3: Use the formula for power (P) of a lens, which is P = 1/f, where f is the focal length in meters.
Step 4: Substitute the focal length into the formula: P = 1/(-0.15).
Step 5: Calculate the power: P = -6.67 D (diopters). The negative sign indicates that it is a concave lens.
Lens Power – The power of a lens is the reciprocal of its focal length, measured in meters. For concave lenses, the focal length is negative, resulting in a negative power.