Chapter 1, Problem 35P

According to the Doppler effect of light, the perceived wavelength ?_p, of a light source with a wavelength of ?_sis given by:

${\lambda }_P={\lambda }_S\sqrt{\frac{1-\frac{v}{c}}{1+\frac{v}{c}}}$

wherec is the speed of tight (about $\text{3}00\times \text{1}{0}^{\text{6}}$ m/s) and v is the speed the observer moves toward the light source. Calculate the speed the observer has to move in order to see a red light as green. Green wavelength is 530nm and red wavelength is 630 nm.