The Doppler Formula States That the Ratio of the Velocity $\frac { \gamma } { c } = \frac { \Delta \lambda } { \lambda }$

question 37

Short Answer

The Doppler formula states that the ratio of the velocity of a source to the speed of light is equal to the ratio of the change in wavelength caused by the Doppler shift to the source wavelength, or $\frac { \gamma } { c } = \frac { \Delta \lambda } { \lambda }$
A spacecraft has yellow headlights which radiate 600nm photons, and is travelling toward a stationary observer. If the spacecraft is travelling at a velocity of 1% of the speed of light (0.01c), what will be the amount of the shift in wavelength observed (in nanometers)?

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