Pulse laser and spectral width help

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krugertown
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A pulse 300ns long is made using a continuous wave laser and a very(very) fast shutter. What is (approx.) the minimum spectral width of the pulse?


I have no idea where to start. For starters what is the spectral width? and how would i go about solving this problem. Not looking for a solution just an idea of how to get it!
 
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PHSI 231 that question is hard dog