Light Problem: Δλ of Monochromatic Light @ 600 nm

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Homework Statement



Monochromatic light with λ=600 nm passes through a fast shutter that opens for 10-9 s. What is the approximate spread of of wavelengths Δλ of the light after it has passed through the shutter?
 
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10-9 s = 10 nano s. sorry for this mistake.
 
What have you done thus far?
 
Use d\omega X dt~1.
 
i tried like u d/omega x but i couldn't reach a correct solution... :(
 
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