Consider a spherical blackbody of constant temperature and mass M whose surface lies at radial coordinater = R. An observer located at the surface of the sphere and a distant observer both measure the blackbody radiation given off by the sphere. If the observer at the surface of the sphere measures the luminosity of the blackbody to be L, use the gravitational time dilation formula, to show that the observer at infinity measures. 2GM , = L 1 Rc

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Consider a spherical blackbody of constant temperature and mass M whose surface lies at
radial coordinater = R. An observer located at the surface of the sphere and a distant observer
both measure the blackbody radiation given off by the sphere. If the observer at the surface of
the sphere measures the luminosity of the blackbody to be L, use the gravitational time dilation
formula, to show that the observer at infinity measures.
2GM
L̟ = L] 1-
Rc?
Transcribed Image Text:Consider a spherical blackbody of constant temperature and mass M whose surface lies at radial coordinater = R. An observer located at the surface of the sphere and a distant observer both measure the blackbody radiation given off by the sphere. If the observer at the surface of the sphere measures the luminosity of the blackbody to be L, use the gravitational time dilation formula, to show that the observer at infinity measures. 2GM L̟ = L] 1- Rc?
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