Problem #0216 Quantum Physics Problem #0218 Chapters Chapters

918.

Problem 56.25 (RHK)

We have to find the observed wavelength of the 656.3-nm line of hydrogen emitted by a galaxy at a distance of .

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We assume that the Hubble’s law is applicable in calculating the receding speed of the galaxy, which is at a distance of .

Hubble’s law is

Therefore, the recessional speed of the galaxy at a distance of will be

For relativistic speeds the Doppler shift can be obtained from the formula

.

The wavelength of the line of hydrogen, , emitted by a galaxy at a distance of when observed from the Earth will be