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A 52-year-old near-sighted person wears eye-glass with a power of –5.5 dioptres for distance viewing. His doctor prescribes a correction of +1.5 dioptres in the near-vision section of his bifocals. This is measured relative to the main part of the le...

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A 52-year-old near-sighted person wears eye-glass with a power of –5.5 dioptres for distance viewing. His doctor prescribes a correction of +1.5 dioptres in the near-vision section of his bifocals. This is measured relative to the main part of the lens

(i) What is the focal length of his distance-viewing part of the lens?

(ii) What is the focal length of the near-vision section of the lens?

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(i) Focal length of lens for distance viewing f1 = 1/P1 = 1/-5.5

= -0.182 m

= -18.2 cm

(ii) Focal length for near vision f2 = 1/P2

= 1/1.5 = 0.667 m = 66.7 cm

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