Final answer:
The child's near point is 133 cm.
Step-by-step explanation:
The near point is the closest distance at which a person with normal vision can focus on an object clearly. It is determined by the person's ability to accommodate, or adjust the shape of the lens in their eye, to focus on nearby objects.
The child's contact lens prescription of 0.750 D indicates that they have myopia (nearsightedness). Myopia causes distant objects to appear blurry.
The near point can be calculated using the formula:
Near Point = 100cm / Prescription Power = 100cm / 0.750 D = 133 cm.
A child's contact lens prescription is 0.750 diopters (D), which is used to correct farsightedness. To find the child's near point, we use the formula for the lens power P = 1/f, where P is the power in diopters and f is the focal length in meters. Since the power is given as 0.750 D, the focal length f will be the reciprocal of the power, which gives f = 1/0.75 m = 4/3 m = 1.333 m or 133.3 cm. Therefore, the child's near point is at 133.3 cm, and the closest answer choice is a. 133 cm.
Therefore, the child's near point is 133 cm, so the correct answer is a. 133 cm.