Professor La Cheville-Tordue has discovered a new particle, the bobon. Wishing to discover this particle's mass and charge, La Cheville-Tordue subjects the bobon to both the Thomson cathode ray experiment and the Millikan oil drop experiment. She discovers that for the cathode ray experiment the bobon requires an increase in electric field of 66.7% to achieve the same deflection as the electron but for the oil drop experiment a decrease of 66.7% in the electric field to suspend the same oil drops. The electron's charge and mass being respectively 1.602 × 10-19 Coulombs and 9.109 x 10-28 charge and mass of the bobon? grams, what are the

Professor La Cheville-Tordue has discovered a new particle, the bobon. Wishing to discover this particle's mass and charge, La Cheville-Tordue subjects the bobon to both the Thomson cathode ray experiment and the Millikan oil drop experiment. She discovers that for the cathode ray experiment the bobon requires an increase in electric field of 66.7% to achieve the same deflection as the electron but for the oil drop experiment a decrease of 66.7% in the electric field to suspend the same oil drops. The electron's charge and mass being respectively 1.602 × 10-19 Coulombs and 9.109 x 10-28 charge and mass of the bobon? grams, what are the

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter39: Introduction To Quantum Physics

Section: Chapter Questions

Problem 27P

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A Thomson-type experiment with relativistic electrons. One of the earliest experiments to show that p = mv (rather than p = mv) was that of Neumann. [G. Neumann, Ann. Physik 45:529 (1914)]. The apparatus shown in Figure P4.5 is identical to Thomsons except that the source of high-speed electrons is a radioactive radium source and the magnetic field B is arranged to act on the electron over its entire trajectory from source to detector. The combined electric and magnetic fields act as a velocity selector, only passing electrons with speed v, where v = V/Bd (Equation 4.6), while in the region where there is only a magnetic field the electron moves in a circle of radius r, with r given by p = Bre. This latter region (E = 0, B = constant) acts as a momentum selector because electrons with larger momenta have paths with larger radii. (a) Show that the radius of the circle described by the electron is given by r = (l2 + y2)/2y. (b) Typical values for the Neumann experiment were d = 2.51 104 m, B = 0.0177 T, and l = 0.0247 m. For V = 1060 V, y, the most critical value, was measured to be 0.0024 0.0005 m. Show that these values disagree with the y value calculated from p = mv but agree with the y value calculated from p = mv within experimental error. (Hint: Find v from Equation 4.6, use mv = Bre or mv = Bre to find r, and use r to find y.) Figure P4.5 The Neumann apparatus.
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