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Chapter 4: Q19E (page 1074)

A space probe2.0×1010m from a star measures the total intensity of electromagnetic radiation from the star to be 5.0×103W/m2. If the starradiates uniformly in all directions, what is its total average power output?

Short Answer

Expert verified

The total average power output is 2.5×1025W.

Step by step solution

01

Define the intensity ( I ).

The power transported per unit area is known as the intensity( I) .

The formula used to calculate the intensity( I) is:

I=PA

Where, A is area measured in the direction perpendicular to the energy and P is the power in watts.

02

given values

Given that,

r=2×1010mI=5.0×103W/m2

03

calculation

Consider the path of the source to be a sphere.

Now, the average power output is

P=IA=5.0×1034π2×1010=5.0×1035.02×1021=2.5×1025W

Hence, the average power output is equal to data-custom-editor="chemistry" 2.5×1025W.

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