Explanation 1) Concept: We are given the final energy of the deuteron. We know that it is accelerated twice in each cycle, and energy it gained when it is accelerated. From this, we can find the number of revolutions made by the deuteron. From this number, we can find the velocity of the deuteron and the radius of the path. Using the radius of the path and number of revolutions made, we can find the total distance traveled. 2) Formula: i) n = F i n a l e n e r g y E n e r g y g a i n e d p e r r e v o l u t i o n ii) r = m v q B iii) K = 1 2 m v 2 3) Given: i) r c y c l t r o n = 53 c m = 0.53 m ii) Operating frequency f = 12 M H z iii) Accelerating potential between dees 80 k e V . 4) Calculation: We know that n = F i n a l e n e r g y E n e r g y g a i n e d p e r r e v o l u t i o n The deuteron accelerates twice in each cycle; each time, it receives an energy of 80 × 10 3 e V . We are given the final energy as 16.6 × 10 6 e V n = 16.6 × 10 6 e V 2 × 80 × 10 3 e V n = 103

10th Edition

ISBN: 9781119164333

Author: Halliday

Publisher: WILEY

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Chapter 28, Problem 37P

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Total path length traveled by deuteron

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Chapter 28, Problem 36P

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Total path length traveled by deuteron

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Total path length traveled by deuteron