Question
The uncorrected far point of Colin's eye is $2.0 \mathrm{~m} .$ What refractive power contact lens enables him to clearly distinguish objects at large distances?
Step 1
First, we need to determine the focal length of Colin's eye without the contact lens. We can use the formula for the far point: Far point = f * (1 - 1/D) where f is the focal length of the eye, and D is the distance of the far point. In this case, the far point Show more…
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Suppose the distance from the lens to the retina is $18 \mathrm{mm} .$ (a) What must the refractive power of the lens be when looking at distant objects? (b) What must the refractive power of the lens be when looking at an object $20.0 \mathrm{cm}$ from the eye? $(\mathrm{c})$ Suppose that the eye is farsighted; the person cannot see clearly objects that are closer than $1.0 \mathrm{m}$. Find the refractive power of the contact lens you would prescribe so that objects as close as $20.0 \mathrm{cm}$ can be seen clearly.
A nearsighted man cannot clearly see objects more than $2.0 \mathrm{m}$ away. The distance from the lens to the retina is $2.0 \mathrm{cm},$ and the eye's power of accommodation is $4.0 \mathrm{D}$ (in other words, the refractive power of the lens increases by a maximum of 4.0 D when accommodating for nearby objects). (a) As an amateur optometrist, what corrective eyeglass lenses would you suggest to enable him to clearly see distant objects? Assume the corrective lenses are $2.0 \mathrm{cm}$ from the eyes. (b) Find the nearest object he can see clearly with and without his glasses.
A nearsighted man cannot clearly see objects more than $2.0 \mathrm{m}$ away. The distance from the lens of the eye to the retina is $2.0 \mathrm{cm},$ and the eye's power of accommodation is $4.0 \mathrm{D}$ (the focal length of the cornea-lens system increases by a maximum of $4.0 \mathrm{D}$ over its relaxed focal length when accommodating for nearby objects). (a) As an amateur optometrist, what corrective eyeglass lenses would you prescribe to enable him to clearly see distant objects? Assume the corrective lenses are $2.0 \mathrm{cm}$ from the eyes. (b) Find the nearest object he can see clearly with and without his glasses.
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