(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 10-1°C). Assume one such alpha particle travels in a circular path of radius 20 cm in a uniform magnetic field of magnitude 1.25T. (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, (i) 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?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 63AP: An electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept...
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Solve the following:
(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 20 cm in a uniform magnetic
field of magnitude 1.25T.
(i) What is the speed of the alpha particle ?
(b) If an electron of (m=9.11x10-3kg) 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 electron?
(ii) Also, calculate the ratio of the radius of the electron to the radius of the alpha particle?
Transcribed Image Text:Solve the following: (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 20 cm in a uniform magnetic field of magnitude 1.25T. (i) What is the speed of the alpha particle ? (b) If an electron of (m=9.11x10-3kg) 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 electron? (ii) Also, calculate the ratio of the radius of the electron to the radius of the alpha particle?
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