Suppose a person who has a far point of 57.4 cm is trying to view a distant obje

Question

Suppose a person who has a far point of 57.4 cm is trying to view a distant object. What is the focal length (with correct sign) of a lens that would take a distant object and make an image on the same side of the lens as the object a distance 57.4 cm from the lens?

Is the lens converging or diverging?

Correct: Diverging
Incorrect Converging

Lenses are prescribed in terms of their refractive power, which is expressed in terms of diopters (see the text or your favorite search engine for the definition of a diopter). What is the refractive power of this lens in terms of diopters? (do not enter units.)

Explanation / Answer

given do = -57.4cm

di = -54.7cm

then 1/do+1/di = 1/f

f = -57.4/2

f = -28.7cm

so lense is diverging

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