In the LHC, protons are accelerated to a total energy of 7 TeV. (a) What is the

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In the LHC, protons are accelerated to a total energy of 7 TeV. 

(a) What is the speed of these protons? 

(b) The LHC tunnel is 27 km in circumference. As measured by an Earth observer, how long does it take the protons to go around the tunnel once? 

(c) In the reference frame of the protons, how long does it take? 

(d) What is the de Broglie wavelength of these protons in Earth's reference frame? 

(e) How fast would a mosquito of mass 1.0 mg be moving if its kinetic energy is 7 TeV?

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