(a) An alpha particle (m=6.64 x 1o-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 23 cm in a uniform magnetic field of magnitude 1.5T. (i) What is the speed of the alpha particle ? (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? (ii) Also, calculate the ratio of the radius of the alpha particle to the radius of the proton?

College Physics
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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 23 cm in a uniform magnetic field of magnitude 1.5T.
(i) What is the speed of the alpha particle ?
(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?
(ii) Also, calculate the ratio of the radius of the alpha particle to the radius of the proton?
Transcribed Image Text:(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 23 cm in a uniform magnetic field of magnitude 1.5T. (i) What is the speed of the alpha particle ? (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? (ii) Also, calculate the ratio of the radius of the alpha particle to the radius of the proton?
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