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A lens has a refractive power of −1.50 D. What is its focal length?

Question

A lens has a refractive power of −1.50 D. What is its focal length?

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Solution

The refractive power (P) of a lens is the reciprocal of its focal length (f). This relationship is expressed in the formula P = 1/f.

Given that the refractive power of the lens is -1.50 D, we can rearrange the formula to solve for the focal length: f = 1/P.

Substituting the given refractive power into the formula gives us: f = 1/(-1.50) = -0.67 m.

Therefore, the focal length of the lens is -0.67 meters. The negative sign indicates that the lens is diverging.

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