A highly monochromatic, continuous beam of laser light of wavelength 440 nm pass

Question

A highly monochromatic, continuous beam of laser light of wavelength 440 nm passes through an electro-optic shutter. The shutter opens and closes in a time interval of %u0394t = 60 ps (1 picosecond = 10-12 seconds).

1) After passing through the shutter what is the average wavelength of the photons?

?AV = 440nm

2) After passing through the shutter to what uncertainty, ?x, have the photons been localized? Here by ?x we mean the difference between the biggest and smallest x. (In this course we are not trying to be precise about the uncertainty, although one can be.)

?x = .018m

3) After passing through the shutter what is the minimum possible fractional uncertainty, ?p/pAV, of photon momentum? (Here and in part 4 we would like to accept answers within a range of about a factor of ten, so that you don't have to worry about a precise definition of ?p; however, that functionality is still be added to SmartPhysics. Therefore, please use ?x?p =h-bar.)

?p/pAV = 0.00000389

4) After passing through the shutter what is the minimum possible spread (uncertainty) of photon wavelength?

?? =

??????PLEASE HELP ME WITH PART D

THANK YOU!

Explanation / Answer

0.005

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