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)28 cm
B)31 cm
C)33 cm
D)37 cm
E)40 cm

Question

Quizplus · Accepted Answer

The power of the eyeglasses is +2.75 diopters, which means they have a focal length of 1/2.75 meters (approximately 0.364 meters or 36.4 cm). Using the lens formula (1/f = 1/v - 1/u), where u is the object distance (near point without glasses, 2.0 m) and v is the image distance (near point with glasses), we can calculate the new near point. Solving for v gives approximately 31 cm.

A Farsighted Girl Has a near Point at 2