General Relativity · Ch 3 · P1

Physics

Problem

Compute the fractional frequency shift

\Delta\nu/\nu

for a photon climbing a height

h = 22.5\,\mathrm{m}

in Earth's gravitational field (

g = 9.8\,\mathrm{m/s^2}

c = 3\times10^8\,\mathrm{m/s}

). Express your answer numerically.