SHOW ALL WORK AND GIVE A NUMERICAL ANSWER! Imagine that you want to run a single

Question

SHOW ALL WORK AND GIVE A NUMERICAL ANSWER!

Imagine that you want to run a single-quanton two-slit interference experiment with electrons. If the distance between your electron gun and the electron detectors is about 1 m, your electrons have a kinetic energy of 35 eV, and you want there to be only a 1/10000 chance that an electron is in flight at any instant, what should the current represented by the electron beam be (in femtoamperes)?

Hint 1: Make the approximation that the electron is moving non-relativistically.

Hint 2: Assume that the probability per second of emitting an electron is set at a constant value for all time. What should this probability per second be in order to get the expected 1/10000 chance of an electron being in flight? You can set your electron emission rate equal to this probability per second.

Explanation / Answer

Here, velocity of electron = sqrt( 2 * 5.607 * 10-18/9.11 * 10-31)

                                          = 3.508 * 106 m/sec

=> time taken = 1/3.508 * 106

                              =   0.285 * 10-6 sec

=>    current represented by the electron =   (1/10000) * 1.6 * 10-19/0.285 * 10-6

                                                                                       =    5.614 * 10-17   A

                                                                   =     5.614 * 10-17 * 1015   Femtoamperes

                                                                   =    0.05614 Femtoamperes

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