A nearsighted man cannot clearly see objects more than 2.0 m away. The distance from the lens of

Uploaded: 2022-02-26T12:38:36-08:00
Duration: 4 min 55 s
Channel: Aniket Bajaj

Step 1:** Calculate the power of the corrective lenses needed to enable the nearsighted man to c

Question

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.

          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.

Added by Diego M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aniket Bajaj

02/26/2022

Step 1

Given: - Distance from lens to retina, $d = 2.0 \, \text{cm}$ - Eye's power of accommodation, $P_{\text{acc}} = 4.0 \, \text{D}$ - Distance at which the man can see clearly, $Q = -2.0 \, \text{m} = -200 \, \text{cm}$ Using the lens formula $\frac{1}{f} = Show more…

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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.