Define the terms in the equation P=1/f (f in meters)
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When f = 1 meter, P = 1F = 1/ 1 = 1 dioptre. Hence, one dioptre is the power of a lens of focal length one meter. When f is in 1 cm, P = 1F / 100 = 100/ f. So we get the formulas to describe the relationship between P and f, P (dioptre) = 1 / f (meter)
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Given equation P = 1/f is the power of lens which define the ability of a lens to converse or diverse the rays incident on its surface, which depends on the focal length. If focal length is small it’s diverging or conversing power is higher.
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