An example of measured wavelength by astronomers on earth, Physics

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A galaxy in the constellation UrsaMajor is receding from the earth at 15,000 km/s. If one of the characteristic wavelengths of the light the galaxy emits is 550 nm, what is the corresponding wavelength measured by astronomers on the earth?

For the intermediate calculations, see that

Here the sign convention for v, that v positive for an approaching source and negative for a receding source. In this problem,

u/c = - ((1.50 x 10⁷ km/s)/(3.0 x 10⁸ m/s)) = -0.050.

Therefore,

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