Answer :
The power of the prescribed lens should be 3.37 diopters.
If the power of the lens of the near cited person is -3.6 diopters.
Then the relation between its power of the glasses and the focal length is given by,
P = 1/f
Putting values,
-3.6 = 1/f
f = -0.27 meters.
Here, minus sign indicates that the focal length of the glasses is present before the eye.
If the person normally wears his glasses 0.027 cm before his eyes.
Then it means that the distance of the focused image related to the eye is given by the focal length of the glasses added the distance between the glasses and the eyes.
F = 0.27+0.027
F = 0.297 m.
The power of the contact lens,
P = 1/0.297
P = 3.37 diopters.
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Complete question- A nearsighted man uses his ideally prescribed eyeglasses that have a refractive power of -3.60 diopters. He would like a prescription for contact lenses. What is the correct contact lens prescription if he normally wears his eyeglasses a distance of 2.7 cm from his eyes?
