   Chapter 33, Problem 10PE

Chapter
Section
Textbook Problem

Because of energy loss due to synchrotron radiation in the LHC at CERN, only 5.00 MeV is added to the energy of each proton during each revolution around the main ring. How many revolutions are needed to produce 7.00−TeV (7000 GeV) protons, if they are injected with an initial energy of 8.00 GeV?

To determine

The number of revolutions needed to produce 7 TeV protons in LHC at CERN.

Explanation

Given info:

Initial energy of protons, E1=8 GeV

Final energy of protons, E2=7 TeV

Energy added to proton during each revolution, E=5 MeV

Formula used:

If E1 is the initial energy, E2 is the final energy and E is the extra energy added then number of

revolutions needed to acquire final energy E2

=E2E1E.

Calculation:

E2=7 TeV =7×1012×1.6×1019=1.12×106 J

E1=8 GeV =8×109×1.6×1019=1

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