The brightness of the illumination of an object varies inversely as the square of the distance from the object to the source of light. how far from the bulb does an object receive four times as much illumination as it does when it is 8 m from the bulb

Question

Humberto

Mathematics

22 July, 18:53

The brightness of the illumination of an object varies inversely as the square of the distance from the object to the source of light. how far from the bulb does an object receive four times as much illumination as it does when it is 8 m from the bulb

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Avah Mclaughlin · Answer 1

I=k/d^2

4=k/d^2 and 1=k/64 so if we divide the first by the second we get:

4/1 = (k/d^2) / (k/64)

4 = (k/d^2) * (64/k)

4=64/d^2

d^2=64/4

d^2=16

d=4 meters