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thin convex lens of focal length 15 cm isplaced in contact with a thin concave lens offocal length 15 cm. What is the power of thecombination

Question

thin convex lens of focal length 15 cm isplaced in contact with a thin concave lens offocal length 15 cm. What is the power of thecombination

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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 is usually measured in meters, but in this case it's given in centimeters, so we'll need to convert it to meters first.

  1. Convert the focal lengths to meters: f1 = 15 cm = 0.15 m (for the convex lens) f2 = -15 cm = -0.15 m (for the concave lens, the focal length is taken as negative)

  2. Calculate the power of each lens using the formula P = 1/f: P1 = 1/0.15 = 6.67 D (for the convex lens) P2 = 1/-0.15 = -6.67 D (for the concave lens)

  3. The total power of the combination of the lenses is the sum of the powers of the individual lenses: P_total = P1 + P2 = 6.67 D - 6.67 D = 0 D

So, the power of the combination of the convex and concave lens is 0 diopters.

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