A nearsighted person has near and far points of 11.1 and 21.0 cm , respectively.

ID: 1508723 • Letter: A

Question

Part A

If she puts on contact lenses with power P = -3.00 D , what are her new near and far points?

Express your answers using three significant figures separated by a comma.

A nearsighted person has near and far points of 11.1 and 21.0 cm , respectively.

Part A

If she puts on contact lenses with power P = -3.00 D , what are her new near and far points?

Express your answers using three significant figures separated by a comma.

near point, far point =

far point is at the focal length distance away from lens

so f = 1/P = 1/3 = 0.33m = 33.33 cm from lens

lets assume lens is 2 cm away from eye so far point will become = 33.33+2 = 35.33 cm from eye

near point before lens on is at 11.1 cm from eye and l1.1-2 = 9.1 cm from lens

so whem lens on near point will be shift by lens formula(focal length will be positive for near point converging lens)

P = 1/d0 + 1/di

1/33.33 = 1 / 9.1 - 1/di

di = 12.52 cm new near point

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