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 24 cm in a uniform magnetic field of magnitude 1.5T. (i) What is the speed of the alpha particle ? Answer for part 1 (b) If a proton of (m=1.67x10-27kg) 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? Answer for part 2 (ii) Also, calculate the ratio of the radius of the alpha particle to the radius of the proton

College Physics
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ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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Chapter19: Magnetism
Section: Chapter Questions
Problem 20P: A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e,...
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(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 24 cm in a uniform magnetic field of magnitude 1.5T. (i) What is the speed of the alpha particle ? Answer for part 1 (b) If a proton of (m=1.67x10-27kg) 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? Answer for part 2 (ii) Also, calculate the ratio of the radius of the alpha particle to the radius of the proton?
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