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EXAMPLE: A certain 100-watt bulb emits a total luminous flux of 1200 lm, distributed uniformly over a hemisphere. Find the illuminance and the luminous intensity at a distance of 1 m, and at 5 m.

SOLUTION: The area of a half-sphere of radius 1 m is

(2[pi])(1 m)² = 6.28 m²

The illuminance at 1 m is

E = 1200 lm ÷ 6.28 m² = 191 lm/m² = 191 lux

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