To fit a contact lens to a patient\'s eye, a keratometer can be used to measure

Question

To fit a contact lens to a patient's eye, a keratometer can be used to measure the curvature of the cornea-the front surface of the eye. This instrument places an illuminated object of known size at a known distance p from the cornea, which then reflects some light from the object, forming an image of it. The magnification M of the image is measured by using a small viewing telescope that allows a comparison of the image formed by the cornea with a second calibrated image projected into the field of view by a prism arrangement. Determine the radius of curvature of the cornea when p = 35.0 cm and M = 0.0110. please show all work

answer= -7.79

Explanation / Answer

Solution,

Magnification, M = -q / p ........ (1)

Using mirror formula,

1/p + 1/q = 2/R ......... (2)

R is the radius of curvature, and q is the image distance.

From equation (1)

q = -M*p

Substituting in equation (2)

R = 2/ (1/p + 1/q) = 2/ ( (1/35) + (-1/0.385) = - 0.779 cm

Comment in case any doubt please rate my answer....

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