A light bulb radiates 110 nW of single-frequency sinusoidal electromagnetic waves uniformly in all directions. Calculate the average intensity of the light from this bulb at a distance of 50 mm

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Answer:

The intensity of the light from the bulb would be

3.501 x [tex]10^{-6}[/tex] W/[tex]m^{2}[/tex]

Explanation:

Given

The Power = 110 n W = 110 x [tex]10^{-9}[/tex] W

the distance r = 50 mm = 50 /1000 = 0.05 m

The intensity can be obtained with the relationship below;

I = Power/area ......1

The area of the sphere would be used in this case since the bulb is spherical;    A=4π[tex]r^{2}[/tex]

Putting it into equation 1, we have;

I = P/ 4π[tex]r^{2}[/tex]

I =  110 x [tex]10^{-9}[/tex] / 4 x π x [tex]0.05^{2}[/tex]

I = 3.501 x [tex]10^{-6}[/tex] W/[tex]m^{2}[/tex]

Therefore the intensity of the light from the bulb would be

3.501 x [tex]10^{-6}[/tex] W/[tex]m^{2}[/tex]

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