In the experiment of Pound and Rebka, a 14.4-keV gamma ray fell through a distance of 22.5 m near Earth’s surface. What are the change in frequency and the percentage change in frequency due to the gravitational redshift?
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In the experiment of Pound and Rebka, a 14.4-keV gamma ray fell through a distance of 22.5 m near Earth’s surface. What are the change in frequency and the percentage change in frequency due to the gravitational redshift?
Gravitational Redshift
Gravitational redshift is the change in frequency of a photon when it travels out of a gravitational well. According to the General Theory of Relativity, heavy objects bend the spacetime in such a way that it creates a well. The object is at the center of the well. When a photon travels out of this well, it tends to lose energy. This is known as gravitational redshift.
Given, the energy of the gamma ray
If is the frequency of the photon, then
The gravitational redshift is given as
is the change in frequency, is the acceleration due to gravity, is the height from which the photon has fallen and is the velocity of light in free space.
Thus
Thus the percentage change in frequency
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