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(Answered) Heisenberg's Uncertainty Principle states that we cannot simultaneously measure both the position and momentum of an object better than a certain...


Heisenberg's Uncertainty Principle states that we cannot simultaneously measure both the position and momentum of an object better than a certain...


Heisenberg's Uncertainty Principle states that we cannot simultaneously measure both the position and momentum of an object better than a certain accuracy. This limitation is not a consequence of imperfect technology, but is a fundamental law. It applies to all objects -- photons, electrons, baseballs, etc.A highly monochromatic, continuous beam of laser light of wavelength 660 nm passes through an electro-optic shutter. The shutter opens and closes in a time interval of Δt = 90 ps (1 picosecond = 10-12 seconds). 1)After passing through the shutter what is the average wavelength of the photons? λAV =2)After passing through the shutter to what uncertainty, Δx, have the photons been localized? Here by Δx 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.) Δx =3)After passing through the shutter what is the minimum possible fractional uncertainty, Δp/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 Δp; however, that functionality is still be added to SmartPhysics. Therefore, please use ΔxΔp =h-bar.) Δp/pAV =4)After passing through the shutter what is the minimum possible spread (uncertainty) of photon wavelength? Δλ =

 


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