Question: Problem 4 The Large Hadron Collider (LHC) at CERN in Geneva, Switzerland accelerates protons up to 6.5 TeV. What is the wavelength of a 6.5

Problem 4

The Large Hadron Collider (LHC) at CERN in Geneva, Switzerland accelerates protons up to 6.5 TeV. What is the wavelength of a 6.5 TeV proton? This wavelength is the smallest size detail that a proton of this energy can resolve.

(Hint: This proton is moving so close to the speed of light that you have to treat the proton with special relativity so that the momentum is not given by mass times velocity, but given by p=E/c. This is the same as a massless photon in which the momentum is related to the energy by p=E/c.)

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