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The illuminance of an object is 64 π lm. The object is 4 m away form the light source. Find the illumination.
1. 1 lux
2. 16 lux
3. 32 lux
4. 2 lux

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Correct Answer - Option 1 : 1 lux

Concept:

Illumination is defined as the luminous flux received by the surface per unit area.

It is usually denoted by the symbol ‘E’ and is measured in lux or lumen/m2 or meter candle or foot candle.

Illumination, \(E = \frac{\phi }{A} = \frac{{CP \times \omega }}{A}lux\)

Solid angle \(\omega = \frac{A}{{{d^2}}}\)

Illumination \(E = \frac{{CP}}{{{d^2}}}lux\)

Calculation:

Given that,

Illuminance = 64 π 

\(E= \frac{P}{4\pi r^2}=\frac{64\pi}{4\pi(4)^2}= 1\;lux\)

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