An unidentifiable flying object (UFO) streaks across the sky at a speed of 0.999

Question

An unidentifiable flying object (UFO) streaks across the sky at a speed of 0.999c relative to earth. A person on earth determines the length of the UFO to be 3m in its direction of motion.

What length does it have when it lands at SeaTac airport and the LGMs (little green men) pop out to say "Greetings Earthlings" These LGMs use a common red laser to signal other ships and space stations. At rest the laser wavelength is 633nm. As they are coming at their full speed toward earth, they send a laser signal. What wavelength do we report receiving?

Explanation / Answer

L = length measured = 3 m

Lo = proper length

V = speed of UFO = 0.999 c

Using the formula :

L = L0 sqrt(1

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