Suppose you are driving on a street so fast, that when you approach the red stoplight, the doppler shift of light waves makes the light appear green. How fast must you be going? (Red light has a wavelength of about 700 nanometers, and green light has a wavelength of about 500 nanometers).
ok well the dopple shift is directly related to the observers speed and inversely related to the speed of the source. this equation can be given by F=f(1+v/V) where F is the frequency of the green light, f is the frequency of red light, v is the speed of the observer, And V is the speed of sound(340 m/s). Now since you are given the wavelength you can solve for the frequency of each wave with the equation c/(wavelength in meters)=f so F=6x10^14 Hz and f=4.3x10^14 Hz Then we algebraicly solve for the velocity and we get v=V((F/f)-1)=134.42 m/s. that is 484 km/h or 301 MPH. thats extremely fast, a little ofer 5 miles a minute!
Cheers bro.
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