A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is _________ D.
Question
A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is _________ D.
Solution
The power of a lens is given by the formula P = 1/f, where f is the focal length of the lens. The focal length of the original lens is given as 10 cm, so the power of the original lens is P = 1/10 = 0.1 D (diopters).
When the lens is cut into two identical parts, each part will have half the original curvature, and therefore double the original focal length. This is because the curvature of a lens is inversely proportional to its focal length.
So, the focal length of each cut lens is 2 * 10 = 20 cm.
Therefore, the power of each cut lens is P = 1/20 = 0.05 D.
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