Chapter 11, Problem 58IF

The Doppler Formula. The amount of Doppler shift for light or radio waves can be calculated from this formula:

$\frac{\text{wavelength shift}}{\text{rest wavelength}}=\frac{v}{c}$

The rest wavelength is the wavelength of a particular spectral line in an object that is not moving (relative to us), v is the velocity of the star from which we observe a wavelength shift, and c is the speed of light (c = 300,000,000 m/sec). Suppose that, in a particular star, a spectral line with a rest wavelength of 600 nm is found to be shifted by 0.1 nm (toward the blue). How fast is that star moving toward us, in meters per second? (1 nm = 10⁻⁹ m.)