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Two convex lenses of equal focal lengths...

Two convex lenses of equal focal lengths are kept in contact with each other. If the power of their combination is 20 D, find the focal length of each convex lens.

Text Solution

Verified by Experts

The focal length (f) of the combination of the lenses is given by
` 1/f = 1/f_(1) + 1/f_(2)`
` therefore 1/f = 1/f_(1) + 1/f_(1) = 2/f_(1)`
But ` P = 1/f therefore P = 2/f_(1) " " therefore D = 2/f_(1) " " therefore f_(1) = 2/20 m = 0.1 m`
This gives the focal length of each convex lens.
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