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Which of the following statements are true about the lenses used in eyeglasses to correct nearsightedness and farsightedness? (There may be more than one correct choice.)A: They produce a real image.B: They produce a virtual image.C: Both nearsightedness and farsightedness are corrected with a converging lens.D: Both nearsightedness and farsightedness are corrected with a diverging lens

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Final answer:

Corrective lenses for nearsightedness are diverging lenses that create a virtual image, while farsightedness is corrected with converging lenses. The given statements about these lenses can be evaluated as follows: B is true and C and D are false, as nearsightedness and farsightedness require different types of lenses.

Step-by-step explanation:

When correcting visual impairments such as nearsightedness (myopia) and farsightedness (hyperopia), different types of lenses are used. For nearsightedness, a diverging lens is required to correct the overconvergence of light rays by the eye. This type of lens produces an image that is closer to the eye than the actual object, which makes it easier for a nearsighted person to see clearly. On the other hand, farsightedness is corrected using a converging lens, which compensates for the underconvergence of light by the eye. This lens produces an image that appears farther from the eye than the object, thus, enabling the farsighted person to see more clearly.

In summary, the accuracy of the statements given are as follows: A: False, since corrective lenses for vision typically create a virtual image rather than a real one; B: True, as eyeglasses produce virtual images that our eyes can focus on; C: False, as converging lenses are for farsightedness and diverging lenses are for nearsightedness; D: False, because diverging lenses are used for nearsightedness and converging lenses are used for farsightedness.

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