(a) An alpha particle (m=6.64 x 1027 kg) contains two protons and two neutrons has no electrons to balance the positive charge of the two protons, hence it has a charge of +2. (Given charge of a proton is 1.6 x 10 19C). Assume one such alpha particle travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 2.25T. (i) What is the speed of the alpha particle ? .... (b) If a proton of (m=1.67x1027kg) travels with the same speed as of the alpha particle in the same magnetic field, (i) Calculate the radius of the circular path traced by the proton?

(a) An alpha particle (m=6.64 x 1027 kg) contains two protons and two neutrons has no electrons to balance the positive charge of the two protons, hence it has a charge of +2. (Given charge of a proton is 1.6 x 10 19C). Assume one such alpha particle travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 2.25T. (i) What is the speed of the alpha particle ? .... (b) If a proton of (m=1.67x1027kg) travels with the same speed as of the alpha particle in the same magnetic field, (i) Calculate the radius of the circular path traced by the proton?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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(Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to- mass ratio q/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference AV, and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through a small opening to a detector. As the accelerating voltage is slowly increased, different ions reach the detector and are measured. Consider a mass spectrometer with a 200.00 mT magnetic field and an 8.0000 cm spacing between the entrance and exit holes. igure + AV d Detector Part A To five significant figures, what accelerating potential difference AV is required to detect the ion O,? The masses of the atoms are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use…
An electron is accelerated from rest by a potential difference of 388 V. It then enters a uniform magnetic field of magnitude 180 mT with its velocity perpendicular to the field. Calculate (a) the speed of the electron and (b) the radius of its path in the magnetic field. (a) Number (b) Number UL Units Units
(a) An alpha particle (m=6.64 x 10-27 kg) contains two protons and two neutrons has no electrons to balance the positive charge of the two protons, hence it has a charge of +2. (Given charge of a proton is 1.6 x 10-19C). Assume one such alpha particle travels in a circular path of radius 28 cm in a uniform magnetic field of magnitude 2.25T. (i) What is the speed of the alpha particle ? (b) If an electron of (m=9.11x10-3'kg) travels with the same speed as of the alpha particle in the same magnetic field, (1) Calculate the radius of the circular path traced by the electron? (ii) Also, calculate the ratio of the radius of the electron to the radius of the alpha particle?
(2) Consider a uniform magnetic field B = 6.18µTj which exists in a limited square region centered at the origin with sidelength d (a) A proton is fired along the x-axis with velocity i between the proton's velocity exiting the field and the proton's initial velocity (deflection angle)? (b) An electron is fired along the x-axis with velocity i = 232m/si. What is the angle between the electron's velocity exiting the field and the electron's initial velocity (deflection angle)? (c) A square loop with sidelength s = located in the y – z plane (shown below). The torque on the loop is 7 = 5.43 x 10-6N mk. What is the magnetic moment of this loop? (d) What is the potential energy of this loop of wire? 8.44ст. 232m/si. What is the angle 5.76cm is placed with its center at the origin and y
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