In order to clearly read a book 18 cm away, a farsighted girl needs an image to be 31 cm from her eyes. What focal length is needed for the lens in her eyeglasses? (answer is in cm)
Using lens equation:
1/f = 1/u + 1/v
u = object distance = 18 cm
v = image distance = -31 cm (Since image is on the same side of object)
f = focal length of lens = ?
So,
f = u*v/(u + v)
f = 18*(-31)/(18 + (-31))
f = focal length = 42.9 cm
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