A proton, a deuteron (q = +e, m = 2.0 u), and an alpha particle (q = 2e, m = 4.0 u) are accelerated through the same potential difference and then enter the same region of uniform magnetic field B→, moving perpendicular to B→. (a) What is the ratio of the proton's kinetic energy Kp to the alpha particle's kinetic energy Kα? (b) What is the ratio of deuteron's kinetic energy Kd to Kα? Assume that the radius of the proton's circular path is 12.3 cm. (c) What is the radius of the deuteron's path? (d) What is the radius of the alpha particle's path?
A proton, a deuteron (q = +e, m = 2.0 u), and an alpha particle (q = 2e, m = 4.0 u) are accelerated through the same potential difference and then enter the same region of uniform magnetic field B→, moving perpendicular to B→. (a) What is the ratio of the proton's kinetic energy Kp to the alpha particle's kinetic energy Kα? (b) What is the ratio of deuteron's kinetic energy Kd to Kα? Assume that the radius of the proton's circular path is 12.3 cm. (c) What is the radius of the deuteron's path? (d) What is the radius of the alpha particle's path?
please highlight each answer when answering:
answer (a) with unit
answer (b) with unit
answer (c) with unit
answer (d) with units
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