A planoconvex lens is to have a focal length of 28.5 cm. If made from fused quartz, what must be the radius of curvature of the convex surface?

1 answer

Use the so-called "lens maker's formula" and an index of refraction of N = 1.458 for fused quartz.

1/f = (N-1)/R1 (for a plano-convex lens with R2 = infinity on one side)

Solve for R1.

http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/lenmak.html