Question #325474

The intensity of light​ (in foot-candles) varies inversely as the square of​ x, the distance in feet from the light source. The intensity of light 2 feet from the source is 80 ​foot-candles. How far away is the source if the intensity of light is 5 ​foot-candles?


1
Expert's answer
2022-04-12T14:22:58-0400

Let AA be the numerator of our formula, and II - intensity of light, then: I=AX2I=\frac{A}{X^2}

If X=2:80=A4    A=320;X=2:80=\frac{A}4\implies A=320;

If I=5:5=320X2    X2=3205=64    X=8I=5:5=\frac{320}{X^2}\implies X^2=\frac{320}5=64\implies X=8 ​foot-candles.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS