Two light sources of intensities 8 Cd and 12 Cd placed on the same side of a photometer screen at a distance of 40 cm from it. Where should an 80 Cd source be placed to balance the illuminance?

Total intensity of the 8 Cd and the 12 Cd light source is (8+12) =20 Cd.


Let
be the distance of the 80 Cd source.



Illuminance due to the 20 Cd source is:


------------- (1)



Illuminance due to the 80 Cd source is:


--------------- (2)
As




1