Essential University Physics
Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 39, Problem 47P

(a)

To determine

The recession speed of the galaxy.

(b)

To determine

The recession speed of the galaxy.

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A space based observatory collects light emitted by a given galaxy. The light was initially emitted with a frequency of 600*10^12Hz but the detected signal is red shifted by 40*10^12Hz How fast is the galaxy moving and in what direction? Show the algebraic form of any equation(s) that you apply and report your calculation in the correct units and with the correct number of significant figures.
In vacuum, the H-alpha line has a rest-frame wavelength of 656.461 nm. You took a spectrum of the center of a galaxy at an observatory on the ground and measured a wavelength of 656.65 nm for the H-alpha line. What is the radial velocity of the galaxy relative to the observer [km/s]? Note that the index of refraction of air is 1.0003 at that wavelength. As a result, the rest-frame wavelength of the H-alpha line in air differs from the rest-frame wavelength in vacuum.
One of the strongest emission lines observed from distant galaxies comes from hydrogen and has a wavelength of 122 nm (in the ultraviolet region). How fast must a galaxy be moving away from us in order for that line to be observed in the visible region at 366 nm?
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