A proton (charge +e, mass mp), a deuteron (charge +e,mass 2mp), and an alpha particle (charge +2e, mass 4mp) areaccelerated from rest through a common potential differenceΔV. Each of the particles enters a uniform magnetic field B→,with its velocity in a direction perpendicular to B→. The protonmoves in a circular path of radius rp . In terms of rp , determine(a) the radius rd of the circular orbit for the deuteron and(b) the radius rα for the alpha particle.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
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 4mp) are
accelerated from rest through a common potential difference
ΔV. 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 rp . In terms of rp , determine
(a) the radius rd of the circular orbit for the deuteron and
(b) the radius rα for the alpha particle.

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