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The focal length of a lens of power −4D is

Question

The focal length of a lens of power −4D is

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Solution

The power of a lens is given by the formula:

P = 1/f

where: P is the power of the lens in diopters (D), f is the focal length of the lens in meters (m).

In this case, the power of the lens is -4D. We can rearrange the formula to solve for the focal length:

f = 1/P

Substituting the given power into the formula gives:

f = 1/(-4D) = -0.25m

So, the focal length of a lens of power -4D is -0.25 meters. The negative sign indicates that the lens is diverging.

This problem has been solved

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