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A nearsighted person has a near point of 11 cm and a far point of 44 cm. Calculate the person's nearsightedness in diopters.

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Final answer:

To determine the nearsightedness in diopters, we can use the formula which involves finding the difference between the reciprocal of the near point and the reciprocal of the far point.

Step-by-step explanation:

To calculate the nearsightedness of the patient in diopters, we need to find the difference between the reciprocal of the near point and the reciprocal of the far point. The formula to calculate nearsightedness in diopters is:

Nearsightedness (in diopters) = 1 / far point - 1 / near point

Substituting the given values, we have:

Nearsightedness (in diopters) = 1 / 44 cm - 1 / 11 cm = 0.0227 - 0.0909 = -0.0682 D

Therefore, the nearsightedness of the person is approximately -0.0682 diopters.

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