   Chapter 11, Problem 72AP ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
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 a 7.00 TeV proton.

Explanation

Given:

Initial energy of the protons ( Ei ) = 8 GeV,

Final energy of the protons ( Ef ) = 7 TeV,

Energy added in each revolution ( E ) = 5 MeV.

Formula used:

If a proton with initial energy Ei received additional energy E in every revolution, the number of revolutions required to achieve final energy Ef is given by the equation,

N=EfEiE

Calculation:

First, we convert all the energy to the same unit, MeV

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