The Racing Laser Pulses · AI Generator #GEN-2737177D

Physics

Problem

Two identical laser observatories on Earth simultaneously emit short laser pulses toward a distant space station. Observatory A remains stationary on Earth, while Observatory B is mounted on a high-speed train moving at v=0.6cv = 0.6c in the same direction as the laser beams. Both pulses are emitted with the same frequency f0=5.0×1014  Hzf_0 = 5.0 \times 10^{14}\;\text{Hz} as measured in their respective rest frames. From the perspective of an astronaut on the space station, what is the ratio of the frequency of pulse B to the frequency of pulse A?

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