A farsighted girl has a near point at 2.0 m but has forgotten her glasses at home. The girl borrows eyeglasses that have a power of +2.75 diopters. With these eyeglasses, what is the near point of the
Girl, assuming that she wears them extremely close to her eyes?
A) 40 cm
B) 28 cm
C) 37 cm
D) 31 cm
E) 33 cm

Question

Quizplus · Accepted Answer

The power of the eyeglasses is +2.75 diopters, which means they have a focal length of approximately 36.36 cm (1/2.75 m). Using the lens formula (1/f = 1/v - 1/u), where u is the original near point (200 cm), we can calculate the new near point (v) to be approximately 31 cm.

A Farsighted Girl Has a near Point at 2