Current Electricity Charging Discharging Of Capacitors Question 678

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

Options:

A) $ 8.00\times 10^{10} $

B) $ 5.00\times 10^{10} $

C) $ 3.13\times 10^{11} $

D) $ 9.60\times 10^{10} $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The charge in a pulse $ dq=Idt $

$ =5.00\times {{10}^{-8}}C. $

$ n=\frac{q}{e}=\frac{5\times {{10}^{-8}}C}{1.6\times {{10}^{-19}}C}=3.12\times 10^{11} $