A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e, mass 4m, accelerated from rest through a common potential difference AV. Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius r (a) In terms of rp, determine the radius rd of the circular orbit for the deuteron. rd= p' (b) In terms of r, determine the radius r for the alpha particle. α r = α

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter28: Magnetic Fields
Section: Chapter Questions
Problem 9P: A proton (charge + e, mass mp), a deuteron (charge + e, mass 2mp), and an alpha particle (charge...
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A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e, mass 4m,
accelerated from rest through a common potential difference AV. Each of the particles enters a uniform magnetic field B, with
its velocity in a direction perpendicular to B. The proton moves in a circular path of radius r
(a) In terms of rp, determine the radius rd of the circular orbit for the deuteron.
rd=
p'
(b) In terms of r, determine the radius r for the alpha particle.
α
r
=
α
Transcribed Image Text:A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e, mass 4m, accelerated from rest through a common potential difference AV. Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius r (a) In terms of rp, determine the radius rd of the circular orbit for the deuteron. rd= p' (b) In terms of r, determine the radius r for the alpha particle. α r = α
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