The correct option is C +2.66 D
The near point of a normal human being is 25 cm. Therefore, to correct a hypermetropic person capable of seeing things only 75 cm away from the eyes, we need a corrective lens that forms the image at 75 cm of the object which is kept between 25 to 75 cm.
Focal length of convex lens to be used can be found by the lens formula:
1v−1u=1f
where f is the focal length and u, v are the object and image distance respectively.
Here u=−25 cm=−14 mv=−75 cm=−34 m
⇒1f=1(−34)−1(−14)
=−43−(−4)1=83
We know that,
Power, P=1f=83=2.66 D
So the person needs a convex lens of power +2.66 D.