In this problem, you will calculate the shape (i.e., theradius of curvature) for

Question

In this problem, you will calculate the shape (i.e., theradius of curvature) for an eyeglass lens. One side ofa contact lens must be flat (or nearly flat) so that it canrest against the surface of the eye, but with an eyeglass lens bothsurfaces can be convex or concave. Your job is to design adouble convex lens with a focal length f = 30cm. For simplicity, assume both surfaces have the sameradius of curvature R and the lens is made from glass with n =1.57. Find R. Hint: Use the lens maker's formula given below,where n is the index of refraction of the glass to makethe lens. 1/f = (n-1)(1/R1 + 1/R2) In this problem, you will calculate the shape (i.e., theradius of curvature) for an eyeglass lens. One side ofa contact lens must be flat (or nearly flat) so that it canrest against the surface of the eye, but with an eyeglass lens bothsurfaces can be convex or concave. Your job is to design adouble convex lens with a focal length f = 30cm. For simplicity, assume both surfaces have the sameradius of curvature R and the lens is made from glass with n =1.57. Find R. Hint: Use the lens maker's formula given below,where n is the index of refraction of the glass to makethe lens. 1/f = (n-1)(1/R1 + 1/R2)

Explanation / Answer

1/f = (n-1)(1/R1 + 1/R2) as R1 and R2 are equal 1/f=(1.57-1)2/R so R=34.2cm

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