A vertical beam of power intensity P (in Watts/m2 ) passes downward through a particular substance. The rate at which P decreases with respect to the thickness t (in meters) through which the beam has passed is proportional to P(t). The power intensity P at the top of the substance is 3,000 W/m2 . The power intensity P at a depth of 2.00 meters below the surface is 600 W/m2 . What is the power intensity P at a depth of 1.25 meters below the surface

x = 1162.5 W/m²

Explanation:

Since, the power decrease is proportional to the depth of the beam. Therefore, interpolation can be used to find the intensity of power at a depth of 1.25 m. First we calculate the slope from know points:

Now, we can find the unknown value by using this slope:

x = 1162.5 W/m² (Power intensity at depth of 1.25 m)

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