Final answer:
The relaxed power of the myopic administrator's eyes is -2.00 D and the closest object they can see clearly is 46.0 cm away. None of the mentioned answer.
Step-by-step explanation:
The relaxed power of the administrator's eyes can be calculated using the formula:
Power = 1/focal length
where the focal length is given by the far point, which is 50.0 cm. So, the relaxed power is -1/0.50 = -2.00 D.
To find the closest object they can see clearly, we can use the formula:
Closest distance = far point - accommodation
where the accommodation is given by 8.00% of the relaxed power. So, the closest distance is 50.0 cm - (8.00% * 50.0 cm) = 50.0 cm - (0.08 * 50.0 cm) = 50.0 cm - 4.0 cm = 46.0 cm.