Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Question
Chapter 26, Problem 44P
(a)
To determine
The frequency of cyclotron.
(b)
To determine
The minimum radius of the magnet.
(c)
To determine
The number of revolution make by proton.
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Students have asked these similar questions
A cyclotron with dee radius 77.8 cm is operated at an oscillator frequency of 11.5 MHz to accelerate protons. (a) What magnitude B of
magnetic field is required to achieve resonance? (b) At that field magnitude, what is the kinetic energy of a proton emerging from the
cyclotron? Suppose, instead, that B-1.77 T. (c) What oscillator frequency is required to achieve resonance now? (d) At that frequency,
what is the kinetic energy of an emerging proton?
(a) Number 0.754
Units
(b) Number 2.6375E12
Units
MeV
(c) Number
26989628
Units
MHz
(d) Number
1.453E-11
Units
MeV
›
Exercice 70: Medical cyclotrons used for
proton therapy have output energies of at
least 70MEV. (a) If we want to design such a
device with a radius of 1 m, what magnetic
field is required? Ignore the relativistic
effects. (b) What is the minimum number of
revolutions required if the supply voltage is
100 kV? (c) How long do protons stay in the
device
Answer: (a) 0.827 T; (b) 350 ; (c) 2.77 x 10-5s
Please show steps, formulas and explanation
for my own understanding. Thank you
If the frequency of the dee voltage at the beginning of an accelerating sequence
is 20 Mc/s, what must be the final frequency if the protons in the pulse have
an energy of 469 MeV?
Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10P
Ch. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - Prob. 67PCh. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - Prob. 74PCh. 26 - Prob. 75PCh. 26 - Prob. 76PCh. 26 - Prob. 77PCh. 26 - Prob. 78PCh. 26 - Prob. 79PCh. 26 - Prob. 80PCh. 26 - Prob. 81P
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- Suppose a cyclotron is operated at an oscillator frequency of 12.4 MHz and has a dee radius 45.3 cm. Estimate the total path length traveled by a deuteron in the cyclotron during the (entire) acceleration process. Assume that the accelerating potential between the dees is 84.3 kV. The deuteron mass is m - 3.34 x 10-27 kg.arrow_forwardA cyclotron used to accelerate protons has a maximum radius of 0.4 m and the magnetic induction used is one tesla. Find the frequency of oscillator connected to the dees and the maximum velocity of emerging protons. Through what P.D. must the protons be accelerated from rest to achieve this speed? If deuterons are used instead of protons, what would be their final energy? Mp= 1.67 x 10-27 kg.arrow_forwardb) In the ALPHA antihydrogen experiment at CERN, the antiprotons travel tothe experiment down a beam pipe. We need to reduce their energy so we can combinethem with positrons to make antihydrogen. The antiprotons are introduced to a regionwith a 1 kV potential difference between the ends. How much energy is lost by eachantiproton in the beam? How much energy would an alpha particle (a bare heliumnucleus) gain if it was accelerated through this potential difference? Why does theantiproton lose energy but the alpha particle gains energy when in a region with sucha potential difference across it?arrow_forward
- Galactic cosmic rays (GCRs) in the 100 MeV-1.00 GeV energy range pose the greatest radiation danger to astronauts in Earth orbit or on future interplanetary missions. As we shall find in the chapter on nuclear physics, fast-moving protons are 10 times as effective in causing radiation damage as x-rays of the same energy. Approximately 85% of GCRS are fast-moving protons, and spacecraft traveling in interplanetary space would require thick shielding to attenuate not only the incident cosmic rays, but also the shower of secondary particles created when the cosmic ray particles impacted the shielding material. (a) What is the speed (in terms of c) of a 1.00 GeV cosmic ray proton? The rest mass of the proton is 938 MeV. The phrase "a 1.00 GeV cosmic ray proton" means that the kinetic energy of the proton is 1.00 GeV. As we contemplate space travel at relativistic speeds, we must consider the low-density abundance of atomic hydrogen in the interstellar medium (ISM), estimated to be…arrow_forwardWhen a cyclotron shifts from deuterons to alpha particles it is necessary to drop the magnetic field slightly. If the atomic masses of 2H and He are 2.014102 amu and 4.002603 amu, what is the percentage decrease in field strength that is required?arrow_forwardThe quark compositions of the proton and neutron are, respectively, uud and udd, where u is an up quark (charge + 2/3 e) and d is a down quark (charge - 1/3 e). There are also antiup u (charge - 2/3 e) and antidown d (charge + 1/3 e) quarks. The combination of a quark and an antiquark is called a meson. The mesons known as pions have the composition π+ = ud- and π- = u-d. Suppose a proton collides with an antineutron. During such collisions, the various quarks and antiquarks annihilate whenever possible. When the remaining quarks combine to form a single particle, it is aA. Proton B. Neutron C. π+ D. π-arrow_forward
- 80 If the acceleration potential (peak voltage, 50,000) has a frequency of 1.2 x 107 c/s, find the field strength for cyclotron resonance when deuterons and alpha particles, respectively are accelerated. For how long are the parti- cles accelerated if the radius of orbit at ejection is 30.0 cm? Deuteron rest mass = 2.01 amu. a-particle rest mass = 4.00 amu [University of New Castle 1965]arrow_forwardThe quark compositions of the proton and neutron are, respectively, uud and udd, where u is an up quark (charge + 23 e2 and d is a down quark (charge - 13 e2. There are also antiup u (charge - 23 e2 and antidown d (charge + 13 e2 quarks. The combination of a quark and an antiquark is called a meson. The mesons known as pions have the composition p+ = ud and p- = ud. Suppose a proton collides with an antineutron. During such collisions, the various quarks and antiquarks annihilate whenever possible. When the remaining quarks combine to form a single particle, it is aA. Proton B. Neutron C. p+ D. parrow_forwardQuarks have charges ±e/3 and ±2e/3. What combination of three quarks could yield (a) a proton, (b) a neutron?arrow_forward
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