A hunter can't clearly see anything that lies farther than 31.0 cm from her eye. Suppose that she pursues contact lenses to compensate for her nearsightedness. (a) What power (in diopters) would be required of the contact lens in order to bring very distant objects to a focus? Recall the thin-lens equation. Assume that the object distance may be set to infinity. Note that the contact lens must make objects at infinity appear as if they are at the far point of the patient's eye. Solve for the power of the contact lens. Pay attention to units. diopters (b) Which of the following describes the lens and the sign of its focal length? diverging, negativediverging, positive converging, positiveconverging, negative
A hunter can't clearly see anything that lies farther than 31.0 cm from her eye. Suppose that she pursues contact lenses to compensate for her nearsightedness. (a) What power (in diopters) would be required of the contact lens in order to bring very distant objects to a focus? Recall the thin-lens equation. Assume that the object distance may be set to infinity. Note that the contact lens must make objects at infinity appear as if they are at the far point of the patient's eye. Solve for the power of the contact lens. Pay attention to units. diopters (b) Which of the following describes the lens and the sign of its focal length? diverging, negativediverging, positive converging, positiveconverging, negative
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A hunter can't clearly see anything that lies farther than 31.0 cm from her eye. Suppose that she pursues contact lenses to compensate for her nearsightedness.
(a)
What power (in diopters) would be required of the contact lens in order to bring very distant objects to a focus?
Recall the thin-lens equation. Assume that the object distance may be set to infinity. Note that the contact lens must make objects at infinity appear as if they are at the far point of the patient's eye. Solve for the power of the contact lens. Pay attention to units. diopters
(b)
Which of the following describes the lens and the sign of its focal length?
diverging, negativediverging, positive converging, positiveconverging, negative
Expert Solution
Step 1
(a) As the hunter cannot see after 31.0 cm, therefore, the object distance (u) can be taken as infinity.
So any lens she pursues will form the image at the image distance v = -31.0 cm, where the negative sign is used because the distance will be measured opposite to the incident ray.
Now, the lens formula is given as,
Here, f denotes the focal length of the lens.
Substituting the values,
Now the power (P) of the lens is given as,
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