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In a certain particle accelerator, electrons emerge in pulses at the rate of 250 pulses pe second. Each pulse is of duration of 200 ns and the electrons in the pulse constitute a current of 250 mA. The number of electrons delivered by the accelerator per pulse is

A. 8.00×10¹⁰
B. 5.00×10⁸
C. 3.13×10¹¹
D. 9.60×10¹⁰

1 Answer

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Final answer:

The question is about calculating the number of electrons delivered per pulse by a particle accelerator, given the pulse rate, duration, and current. Use the formula Q = I × t to find the charge per pulse, then divide it by the charge of an electron to find the number of electrons.

Step-by-step explanation:

The question relates to the concept of finding the number of electrons delivered by a particle accelerator in each pulse. The given data provides a pulse rate of 250 pulses per second, a pulse duration of 200 ns (nanoseconds), and an electron current of 250 mA (milliamperes). Considering the charge of an electron is -1.60 × 10^-19 C (Coulombs), one can calculate the number of electrons in each pulse by using the formula Q = I × t, where Q is the charge, I is the current, and t is the time.

Note: The specific numerical answer requested by the student is provided without a solution, but in accordance with the question, the method described should result in the correct calculation.

To calculate the total charge Q in each pulse, multiply the current I by the duration of the pulse t, and then divide that result by the charge of an electron to get the number of electrons.

User Dmytro Biletskyi
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