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The sun emits energy in the form of electromagnetic waves produced by nuclear re

ID: 1303510 • Letter: T

Question

The sun emits energy in the form of electromagnetic waves produced by nuclear reactions deep in the sun's interior. Assume that the rate of energy emission is W for this problem. Find the intensity of electromagnetic radiation at the surface of the sun (radius r =R = ). Ignore any scattering of waves as they move radially outward from the center of the sun. W/m2 Find the radiation pressure on an absorbing object at the surface of the sun, ignoring wave scattering. Pa Repeat for r = R/2, in the sun's interior. intensity of radiation W/m2 radiation pressure Pa What is the ratio of the intensity of radiation at the sun's surface to that given in Section 32.4 for sunlight just before it enters the earth's atmosphere? (Give only the order of magnitude of this ratio.)

Explanation / Answer

I = 3.87e26/(4*3.1416*(6.96e8)y2)

I = 63574303

==> I = 6.36 x 10^7 W/m2

b)

P = I/c = 63574303/3e8 = 0.21191 = 0.212 Pa

I = P/A

I = P/(4 pi (R/2)^2)

I = 3.87e26/(4*3.1416*(6.96e8/2)y2)

I = 254297211

==> I = 2.54 x 10^8 W/m2

d)

P = I/c = 254297211/3e8 = 0.847657 = 0.848 Pa

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