Problema Solution
The intensity of I of light from a light bulb, measured in watts per square meter (w/m2), varies inversely as the square of the distance d from the light bulb. Suppose I is 45 w/m2 when the distance is 5 m. Find the intensity when the distance from the light bulb is 4 m away.
I = _________ w/m2
Answer provided by our tutors
The intensity of I of light from a light bulb, measured in watts per square meter (W/m^2), varies inversely as the square of the distance d from the light bulb:
I*(d^2) = k, where k is constant.
Let 'x' represent the intensity when the distance from the light bulb is 4 m away.
Now we can write:
45*5^2 = x*4^2
click here to see the equation solved for x
x = 70.3125 W/m^2
When the distance from the light bulb is 4 m away the intensity is 70.3125 W/m^2.