(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?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.31P
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(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?
(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 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? (ii) Also, calculate the ratio of the radius of the alpha particle to the radius of the proton?
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