$[-/1$ Points$]$

SERCP$1125\mathrm{.}2.$P$\mathrm{.}010.$

$[$

A patient can't see objects closer than $35\mathrm{.}7$ cm and wishes to clearly see objects that are $20\mathrm{.}0$ cm from his eye.

$($a$)$ Is the patient nearsighted or farsighted?

nearsighted

farsighted

$($b$)$ If the eye$-$lens distance is $2\mathrm{.}02$ cm $,$ what is the minimum object distance p from the lens? $($Give your answer to

at least three significant digits.$)$

cm

$($c$)$ What image position with respect to the lens will allow the patient to see the object? $($Give your answer to at

least three significant digits.$)$

cm

$($d$)$ Is the image real or virtual? Is the image distance q positive or negative? $($Select all that apply.$)$

real image

virtual image

distance is positive

distance is negative

$($e$)$ Calculate the required focal length.

cm

$($f$)$ Find the power of the lens in diopters.

diopters

$($g$)$ If a contact lens is to be prescribed instead, find p$,$q$,$ and f$,$ and the power of the lens.

p$=$

cm

$($Give your answer to at least three significant digits.$)$

q$=$

cm

f$=$

cm

P$=$

diopters

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$[-/1$ Points$]$

SERCP$1125\mathrm{.}2.$P$\mathrm{.}014.$

A particular nearsighted patient can't see objects clearly beyond $20\mathrm{.}9$ cm from their eye. Determine the lens power

required to correct the patient's vision and the type of lens required $($converging or diverging$).$ Neglect the distance

between the eye and the corrective lens.

$($a$)$ the lens power required to correct the patient's vision $($in diopters$)$

diopters

$($b$)$ the type of lens required $($converging or diverging$)$

converging

diverging

PLEASE ANSWER BOTH QUESTIONS