All Problems

Thermal Radiation. Quantum Nature of Light.

Problem 5.269

A photon of frequency \(\omega_{0}\) is emitted from the surface of a star whose mass is \(M\) and radius \(R .\) Find the gravitational shift of frequency \(\Delta \omega / \omega_{0}\) 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}
Prev
Next