A proton moves along the x-axis where some arrangement of

Chapter 25, Problem 25.79

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QUESTION:

A proton moves along the x-axis where some arrangement of charges has produced the potential V1x2 = V0 sin12px/l2, where V0 = 5000 V and l = 1.0 mm. a. What minimum speed must the proton have at x = 0 to move down the axis without being reflected? b. What is the maximum speed reached by a proton that at x = 0 has the speed you calculated in part a?

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QUESTION:

A proton moves along the x-axis where some arrangement of charges has produced the potential V1x2 = V0 sin12px/l2, where V0 = 5000 V and l = 1.0 mm. a. What minimum speed must the proton have at x = 0 to move down the axis without being reflected? b. What is the maximum speed reached by a proton that at x = 0 has the speed you calculated in part a?

ANSWER:


a. The minimum speed required by the proton at x=0 to move down the axis without being reflected is given by the relation V1 = (2?/l2) ?2 V0, where V0 is the peak electric potential at x=l/2, and l is the period of the potentia

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