(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 24 cm in a uniform magnetic field of magnitude 2T. (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?

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Chapter12: Sources Of Magnetic Fields
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Problem 25P: A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in...
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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 1019C).
Assume one such alpha particle travels in a
circular path of radius 24 cm in a uniform
magnetic field of magnitude 2T.
(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 1019C). Assume one such alpha particle travels in a circular path of radius 24 cm in a uniform magnetic field of magnitude 2T. (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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