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 , moving perpendicular to . What is the ratio of (a) the proton’s kinetic energy Kp to the alpha particle’s kinetic energy Ka and (b) the deuteron’s kinetic energy Kd to Ka? If the radius of the proton’s circular path is 10 cm, what is the radius of (c) the deuteron’s path and (d) the alpha particle’s path?

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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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 , moving perpendicular to . What is the ratio
of (a) the proton’s kinetic energy Kp to the alpha particle’s kinetic
energy Ka and (b) the deuteron’s kinetic energy Kd to Ka? If the
radius of the proton’s circular path is 10 cm, what is the radius of
(c) the deuteron’s path and (d) the alpha particle’s path?

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