A plano-convex lens

The diameter of the aperture of a plano-convex lens is 6 cm 6 \text{ cm} and its thickness at the center is 3 mm . 3 \text{ mm}. If the speed of light in the material of the lens is 2 × 1 0 8 m/s 2 \times 10^8 \text{ m/s} , the focal length (in cm \text{cm} ) of the lens to the nearest integer is __________ . \text{\_\_\_\_\_\_\_\_\_\_}.

18 20 15 30 12

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1 solution

R d R t = + − ( ) 2 2 2 2 1   − = −     t R d R R 2 2 2 1 1 − = − d t R R 2 (3) 90 15 2 (0 3) 6 = = = × ⋅ R cm 1 2 1 1 1 ( 1)   = − −     f R R µ 1 3 1 1 2 15     = −     f     f = 30 cm

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