A proton (charge +e, mass m,), a deuteron (charge +e, mass 2m,), and an alpha particle (charge +2e, mass 4m,) are accelerated from rest through a common potential differ 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 r determine the radius ra of the circular orbit for the deuteron. (b) In terms of re, determine the radius r, for the alpha particle.

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A proton (charge +e, mass m,), a deuteron (charge +e, mass 2m,), and an alpha particle (charge +2e, mass 4m,) are 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 rp:
(a) In terms of r, determine the radius r, of the circular orbit for the deuteron.
(b) In terms of
determine the radius r, for the alpha particle.
a
Transcribed Image Text:A proton (charge +e, mass m,), a deuteron (charge +e, mass 2m,), and an alpha particle (charge +2e, mass 4m,) are 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 rp: (a) In terms of r, determine the radius r, of the circular orbit for the deuteron. (b) In terms of determine the radius r, for the alpha particle. a
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