Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 39, Problem 53P

(a)

To determine

The recession speed of the galaxy.

(b)

To determine

The recession speed of the galaxy.

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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.
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.
The figure above shows the light-curve obtained from continuous monitoring of the flux received from a star. Assuming that the dips arise because a planet orbiting the star passes between it and the observer once per orbit, estimate the orbital period (in days), the orbital semi-major axis (in Astronomical Units), and the physical radius of the planet (in units of the Earth’s radius). The star has a mass of 1.47 M⊙ and a radius of 1.84 R⊙.
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