Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 43, Problem 3P
To determine
The strength of the magnetic field used in cyclotron.
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(III) A mass spectrometer is monitoring air pollutants. It isdifficult, however, to separate molecules of nearly equal masssuch as CO (28.0106 u) and N2(28.0134u) How large aradius of curvature must a spectrometer have (Fig. 20–41)if these two molecules are to be separated on the film by0.50 mm?
A 15.2 m diameter circular magnet can produce magnetic field of 280 mT.
If this magnet were used in a cyclotron to accelerate protons (m/q = 1.04x10-8 C/kg),
what is the maximum proton kinetic energy that can be achieved (in units of MeV).
) 83 MeV
ii) 128 Mev
ii) 194 MeV
iv) 218 Mev
As a charged particle is shot to a magnetic field B with a speed v perpendicular
to B, the particle's motion gets modified and the so called "cyclotron radius"
relates to its charge
directly
inversely
O as va
Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 43.1 - Prob. 1AECh. 43.2 - Prob. 1CECh. 43.9 - Prob. 1DECh. 43.9 - Prob. 1EECh. 43 - Prob. 1QCh. 43 - If a proton is moving at very high speed, so that...Ch. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6Q
Ch. 43 - Prob. 7QCh. 43 - Prob. 8QCh. 43 - Prob. 9QCh. 43 - Prob. 10QCh. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 13QCh. 43 - Prob. 14QCh. 43 - Prob. 15QCh. 43 - Prob. 16QCh. 43 - Prob. 17QCh. 43 - Prob. 18QCh. 43 - Prob. 19QCh. 43 - Prob. 20QCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Prob. 25PCh. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46GPCh. 43 - Prob. 47GPCh. 43 - Prob. 48GPCh. 43 - Prob. 49GPCh. 43 - Prob. 50GPCh. 43 - Prob. 51GPCh. 43 - Prob. 52GPCh. 43 - Prob. 53GPCh. 43 - Prob. 54GPCh. 43 - Prob. 55GPCh. 43 - Prob. 56GPCh. 43 - Prob. 57GPCh. 43 - Prob. 58GPCh. 43 - Prob. 59GPCh. 43 - Prob. 60GPCh. 43 - Prob. 61GPCh. 43 - Prob. 62GPCh. 43 - Prob. 63GPCh. 43 - Prob. 64GPCh. 43 - What fraction of the speed of light c is the speed...Ch. 43 - Prob. 66GPCh. 43 - Prob. 67GP
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- A proton and an antiproton collide head-on, with each having a kinetic energy of 7.00 TeV (such as in the LHC at CERN). How much collision energy is available, taking into account the annihilation of the two masses? (Note that this is not significantly greater than the extremely relativistic kinetic energy.)arrow_forwardHelpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-¹0 N (c) 2.3 × 10-19 N (d) 4.6 × 10-19 N eplacing the voltage sou the following inst choices below time != 1.00 37 instantaneous currentarrow_forwardWhy must the electrical polarity of the tubes in a linear accelerator be reversed at very short time intervals?arrow_forward
- In a synchrocyclotron, the magnetic flux density decreases from 15,000 G at the centre of the magnet to 14,300 G at the limiting radius of 206 cm. Calculate the range of frequency modulation required for deuteron acceleration and the maximum kinetic energy of the deuteron. (The rest mass of the deuteron is 3.34 x 10-24 g) [University of London 1959]arrow_forward9arrow_forwardA magnetic fi eld of 1.4 T is used to accelerate 10.0- MeV protons in a cyclotron. (a) What is the radius of the magnet? (b) What is the cyclotron frequency?arrow_forward
- What is the repulsive for (in N) between two protons if the distance between them is 58nm?arrow_forward•17 Does the proposed decay process E - T +n+ K +p conserve (a) charge, (b) baryon number, (c) spin angular momen- tum, and (d) strangeness?arrow_forward(a) A beam of highly energetic protons emerges from a cyclotron. Can you assume that there is a magnetic field associated with these particles? Justify your answer. (b) When a current travels through the coils of a coil spring, the coil contracts as if it were compressed. What is your explanation for the fact?arrow_forward
- (I) In a mass spectrometer, germanium atoms have radii ofcurvature equal to 21.0, 21.6, 21.9, 22.2, and 22.8 cm. Thelargest radius corresponds to an atomic mass of 76 u. Whatare the atomic masses of the other isotopes?arrow_forward80 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_forward•11 SSM www Which conservation law is violated in each of these proposed decays? Assume that the initial particle is station- ary and the decay products have zero orbital angular momentum. (a) u→e-+ v (b) u →et + v, + ī,: (c) ut→* + v.arrow_forward
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