A patient's far point is 117 cm and her near point is 13.5 cm. In what follows, we assume that we can model the eye as a simple camera, with a single thin lens forming a real image upon the retina. We also assume that the patient's eyes are identical, with each retina lying 1.95 cm from the eye's "thin lens." (a) What is the power, P, of the eye when focused upon the far point? (Enter your answer in diopters.) X Refer to the thin-lens equation. Recall the relationship between lens power and focal length. Recall the sign conventions for p and q. Be careful with units. diopters (b) What is the power, P, of the eye when focused upon the near point? (Enter your answer in diopters.) diopters (c) What power (in diopters) must a contact lens have in order to correct the patient's nearsightedness? (Assume that the object distance is infinite.) diopters (d) Is this contact lens a converging or diverging lens? converging O diverging

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Chapter1: Units, Trigonometry. And Vectors
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A patient's far point is 117 cm and her near point is 13.5 cm.
In what follows, we assume that we can model the eye as a simple camera, with a single thin lens forming a real image
upon the retina. We also assume that the patient's eyes are identical, with each retina lying 1.95 cm from the eye's "thin
lens."
(a) What is the power, P, of the eye when focused upon the far point? (Enter your answer in diopters.)
X
Refer to the thin-lens equation. Recall the relationship between lens power and focal length. Recall the sign
conventions for p and q. Be careful with units. diopters
(b) What is the power, P, of the eye when focused upon the near point? (Enter your answer in diopters.)
diopters
(c) What power (in diopters) must a contact lens have in order to correct the patient's nearsightedness? (Assume that
the object distance is infinite.)
diopters
(d) Is this contact lens a converging or diverging lens?
O converging
O diverging
Transcribed Image Text:A patient's far point is 117 cm and her near point is 13.5 cm. In what follows, we assume that we can model the eye as a simple camera, with a single thin lens forming a real image upon the retina. We also assume that the patient's eyes are identical, with each retina lying 1.95 cm from the eye's "thin lens." (a) What is the power, P, of the eye when focused upon the far point? (Enter your answer in diopters.) X Refer to the thin-lens equation. Recall the relationship between lens power and focal length. Recall the sign conventions for p and q. Be careful with units. diopters (b) What is the power, P, of the eye when focused upon the near point? (Enter your answer in diopters.) diopters (c) What power (in diopters) must a contact lens have in order to correct the patient's nearsightedness? (Assume that the object distance is infinite.) diopters (d) Is this contact lens a converging or diverging lens? O converging O diverging
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