Question 1109469: At what distance from a source of light will the intensity of illumination be half as great as it is at a distance of 6 inches
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! At what distance from a source of light will the intensity of illumination be half as great as it is at a distance of 6 inches
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I = k/d^2 --- k = a constant.
d^2 = k/I
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d^2 = (k/(I/2)) = 2k/I
d = 6*sqrt(2) inches
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That might be confusing.
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Illumination intensity is a function of the inverse of the square of the distance.
d*2 = I/4
d*3 = I/9
d*x = I/x^2 --> d*sqrt(x) = I/x
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Inverse of the square of distance is common:
gravity, magnetism, E-field (of a point), sound intensity, and others.
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