The accleration of protons in a cyclotron is shown in the figure below.The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protonsis 0.4 m. The mass of a proton is 1.67-10-27 kg and the charge on a proton is 1.6-10-19 C.DeeOOIon sourceElectric oscillator1 Deflector plateProton beamTargetElectric field region wherekinetic energy is gained a. What is the kinetic energy of the protons when they are ejected from the cyclotron?KE at ejection-12= 1.92×10b. What is this energy in MeV?KE at ejection in MeV = 11.98MeVc. Through what total potential difference (potential difference between the gaps and number of tripsthrough the gaps) would a proton have to be accelerated to acquire this kinetic energy?Think about the magnitude of potential you have calculated. While designing the cyclotron, gappotential can be made much smaller than this magnitude by making the proton pass through the gapseveral times by making it pass through a magnetic field and confining the protons to a circular pathbefore the next increment in energy.Potential difference = 5.99MVd. What is the period of the voltage source used to accelerate the protons? Hint: For maximumenergy transfer from the external voltage source to the proton, the period of the oscillating voltageshould coincide with the period of oscillation of the proton.Period of the voltage source =-85.25×10S!No, that's only partially correct

Answered: Image /qna-images/answer/775396ee-c313-4928-aefa-490bf1f819f7.jpg

The accleration of protons in a cyclotron is shown in the figure below. The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons is 0.4 m. The mass of a proton is 1.67-10-27 kg and the charge on a proton is 1.6.10-19 C.

The accleration of protons in a cyclotron is shown in the figure below. The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons is 0.4 m. The mass of a proton is 1.67-10-27 kg and the charge on a proton is 1.6.10-19 C.

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Chapter1: Units, Trigonometry. And Vectors

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Question

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The accleration of protons in a cyclotron is shown in the figure below.
The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons
is 0.4 m. The mass of a proton is 1.67-10-27 kg and the charge on a proton is 1.6-10-19 C.
Dee
O
O
Ion source
Electric oscillator
1 Deflector plate
Proton beam
Target
Electric field region where
kinetic energy is gained

a. What is the kinetic energy of the protons when they are ejected from the cyclotron?
KE at ejection
-12
= 1.92×10
b. What is this energy in MeV?
KE at ejection in MeV = 11.98
MeV
c. Through what total potential difference (potential difference between the gaps and number of trips
through the gaps) would a proton have to be accelerated to acquire this kinetic energy?
Think about the magnitude of potential you have calculated. While designing the cyclotron, gap
potential can be made much smaller than this magnitude by making the proton pass through the gap
several times by making it pass through a magnetic field and confining the protons to a circular path
before the next increment in energy.
Potential difference = 5.99
MV
d. What is the period of the voltage source used to accelerate the protons? Hint: For maximum
energy transfer from the external voltage source to the proton, the period of the oscillating voltage
should coincide with the period of oscillation of the proton.
Period of the voltage source =
-8
5.25×10
S
!
No, that's only partially correct

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