Question

With -5.0 D corrective lenses, Juliana's distant vision is quite sharp. She has a pair of -3.5 D computer glasses that puts her computer screen right at her far point. Part A How far away is her computer? Express your answer with the appropriate units.

Answer 1

Juliana's computer is 22.5 cm away from her eyes with the -3.5 D computer glasses.

Step-by-step explanation:

To find the distance of Juliana's computer, we can use the lens formula: 1/f = 1/v - 1/u, where f is the focal length of the lens, v is the image distance, and u is the object distance.

For Juliana's corrective lenses, the focal length is -5.0 D and the far point is -5.0 D + 50.0 D = 45.0 D.

As the computer glasses bring the computer screen to her far point, u = -45.0 D. Plugging these values into the lens formula:

1/f = 1/v - 1/u

1/45.0 D = 1/v - 1/(-45.0 D)

Simplifying the equation gives us:

v = -22.5 D

Since the image distance is negative, it means the image is formed on the same side as the object, which means the computer screen is 22.5 cm away from Juliana's eyes.