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Question

Question: 1% of light of a source with luminous intensity 50 candela is incident on a circular surface of radi...

1% of light of a source with luminous intensity 50 candela is incident on a circular surface of radius 10 cm. The average illuminance of surface is

A

100 lux

B

200 lux

C

300 lux

D

400 lux

Answer

200 lux

Explanation

Solution

φ=4πL=2006muπ\varphi = 4\pi L = 200\mspace{6mu}\pilumen.

so I=φ100A=200π100×πr2=2(0.1)2I = \frac{\varphi}{100A} = \frac{200\pi}{100 \times \pi r^{2}} = \frac{2}{(0.1)^{2}}= 200 lux.