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Thermal Radiation. Quantum Nature of Light.

Problem 5.269

A photon of frequency ω0\omega_{0} is emitted from the surface of a star whose mass is MM and radius R.R . Find the gravitational shift of frequency Δω/ω0\Delta \omega / \omega_{0} of the photon at a very great distance from the star.

Reveal Answer
Δω/ω0=−(1−e−γM/Rc2)<0, i.e. the frequency of the photon decreases\Delta \omega / \omega_{0}=-\left(1-\mathrm{e}^{-\gamma M / R c^{2}}\right)<0, \text { i.e. the frequency of the photon decreases}
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