Math  /  Geometry

QuestionA 800 cd incandescent lamp is fixed at a height of 2 meters directly above a long bench, and the value of illuminance at point PP is to be determined.

Studdy Solution
Use the inverse square law to find the illuminance E E at point P P . The illuminance is given by:
E=Id2 E = \frac{I}{d^2}
where I=800 cd I = 800 \text{ cd} and d2.69 m d \approx 2.69 \text{ m} .
Substitute the values:
E=800 cd(2.69 m)2 E = \frac{800 \text{ cd}}{(2.69 \text{ m})^2}
Calculate:
E=8007.24 E = \frac{800}{7.24} E110.5 lux E \approx 110.5 \text{ lux}
The illuminance at point P P is approximately:
110.5 lux \boxed{110.5 \text{ lux}}

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