To find the power of the lens with a focal length of -0.25 meters, we use the formula P = 1/f. Substituting the given focal length, we get P = 1/(-0.25), resulting in a power of -4.0 D. This negative power indicates that the lens is concave.
If an ophthalmologist prescribes a lens with a focal length of -0.25 meters, what is the corresponding power of the lens?
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The power (P) of a lens is inversely proportional to its focal length (f) and is measured in diopters (D). The formula for calculating power is P = 1/f. Given a focal length of -0.25 meters, the corresponding power of the lens can be calculated as follows:
P = 1/(-0.25) = -4 diopters (D)
Therefore, the lens prescribed by the ophthalmologist has a power of -4 diopters. The negative sign indicates that it is a concave lens, suitable for correcting myopic (nearsighted) vision where distant objects appear blurry.