We have a supply of flat glass disks and a lens grinding machine that can be set to grind radii of curvature of either 40 cm or 60 cm. We are advised to prepare a set of six lenses like those shown in the figure. We have to find the focal length of each lens. (Note: Where we have a choice of radii of curvature, we will select the smaller one.)
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Solution: Click For PDF Version We will use the lens-maker’s formula, and the sign convention that is positive if the centre of curvature lies in the R-side of the lens and is negative if the centre of curvature lies in the V-side of the lens. Also, the radius of curvature of a plane surface is . In the following we calculate the focal length of the six lenses shown in the figure: (a) Double convex lens . We have
(b) Planar convex . We have
(c) Meniscus convex . We have
(d) Double concave
We have
(f) Planar concave . We have
(g) Meniscus concave . We have
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