Answer: approximately 25.25 cm.
Explanation:
To find the focal length of the lens, we can use the lens maker's formula, which relates the focal length (f) of a lens to the radii of curvature (R1 and R2) of its surfaces and the index of refraction (n) of the material.
The lens maker's formula is given by:
1/f = (n - 1) * (1/R1 - 1/R2)
Given:
Index of refraction (n) = 1.60
Outer radius of curvature (R1) = +2.10 cm
Inner radius of curvature (R2) = +2.44 cm
Substituting the given values into the formula, we get:
1/f = (1.60 - 1) * (1/2.10 - 1/2.44)
Simplifying the equation:
1/f = 0.60 * (0.476 - 0.410)
1/f = 0.60 * 0.066
1/f = 0.0396
Now, we can solve for f by taking the reciprocal of both sides:
f = 1 / 0.0396
f ≈ 25.25 cm
Therefore, the focal length of the contact lens is approximately 25.25 cm.