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(a) Determine the length of time it will take an alpha particle to move halfway

ID: 1264202 • Letter: #

Question

(a) Determine the length of time it will take an alpha particle to move halfway around a complete circle.
in s

(b) Does the time found in part (a) increase, decrease, or stay the same, if the speed of the alpha particle is tripled?

increase decrease     stay the same

A beam of alpha particles is fired horizontally with a speed of 1.5 x 10^5 m/s into a region where there is a vertical magnetic field of magnitude 0.199 T. An alpha particle is the nucleus of a helium atom and as such, consists of two protons, two neutrons, and has a mass of 6.64 x 10^-27 kg. (a) Determine the length of time it will take an alpha particle to move halfway around a complete circle. (b) Does the time found in part (a) increase, decrease, or stay the same, if the speed of the alpha particle is tripled? (c) Repeat part (a) for alpha particles with a speed of 4.5 x 10^5 m/s.

Explanation / Answer

(A) Magnetic force (Bqv) provides the centripetal force (mv