A sodium light source moves in a horizontal circle at a constant speed of 0.100c while emitting light at the proper wavelength of λ0=589 nm. Wavelength l is measured for that light by a detector fixed at the center of the circle. What is the wavelength shift λ-λ0?
Since the light source is always moving tangent to the center of the circle, I figured that I should use the doppler shift for transverse movement ƒ = ƒ0√1-β2.
The Attempt at a Solution
Using the above and solving for λ, Δλ = 2.95nm. Is this correct?