(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 28 cm in a uniform magnetic field of magnitude 2.25T. (1) 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?

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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 28 cm in a uniform magnetic field of
magnitude 2.25T.
(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,
(1) 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:(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 28 cm in a uniform magnetic field of magnitude 2.25T. (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, (1) 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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