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The illuminance of a small area changes from

Question:

The illuminance of a small area changes from 900 lumen/ $\mathrm{m}^{2}$ to 400 lumen/ $\mathrm{m}^{2}$ when it is shifted along its normal by $10 \mathrm{~cm}$. Assuming that it is illuminated by a point source placed on the normal. Find the distance between the source and the area in the original position.

Solution:

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