Question

The beer-lambert formula determines the intensity of light in water (measured in lumens) at a depth of x feet. find the intensity of light at a depth of 32 feet given the formula: log(I/12)= -0.02735(x). x=32​

Answer 1

Answer:

1.324 lumens

Step-by-step explanation:

The Beer-Lambert formula gives the intensity of light in water, at a certain depth x.

In this problem, the formula given is:

$Log_{10}\frac{I}{12}=-0.02735 x$

where

I is the intensity (in lumens)

x is the depth (in feet)

Here we are asked to find the intensity of light at a depth of

x = 32 feet

Therefore, re-arranging the equation and substituting x = 32, we find:

$I=12\cdot 10^{-0.02735x}=12\cdot 10^{-0.02735\cdot 32}=1.324$ lumens