Answer:
+1.00 diopter
Explanation:
The power of a lens can be described simply as the reciprocal of the focal length of the lens measured in meters.
But f is unknown, hence we look for the focal length with the formula
1/f = 1/u + 1/v
where u is former near point = 100cm
v is the new intended near point = 50cm
1/f = 1/50 - 1/100
1/f = 1/100
f = 100 cm
Hence we get Power (D) = 1/f
where f = focal length of the lens in meter
From the question, the focal length of the lens = 100cm = 1m
Hence D = 1/1
D = +1.00
Hence the refractive power of the reading glasses that would allow Carol to read a book 50cm away from the relaxed eye will be +1.00 diopters.