An electron is imprisoned inside a vacuum tube of a length of several centimeter

Question

An electron is imprisoned inside a vacuum tube of a length of several centimeters. A repulsive potential of a few volts is applied on both sides of the tube. In this problem,

A) The electron can possibly have sufficient kinetic energy, and therefore may be able to escape from the tube.

B)The question of the electron possibly escaping from the tube is a probability question; and therefore depends on Heisenberg's uncertainty principle.

C) The electron can never escape from the described tube, or potential trap.

Explanation / Answer

The electrons which can escape potential wells indeed if the Kinetic energy of the electron is minor than the potential limits on both the sides of the electron.
Now, this release from the potential well is a probable problem but doesn't depend on the uncertainty principle, but majorly on the Schrodinger's wave equations
So, The electron can possibly have sufficient kinetic energy, and therefore may be able to escape from the tube assuming the potential applied to both sides of the tube is only a few volts appears to be more relevant.

Hence the electron can possibly have sufficient kinetic energy, and therefore may be able to escape from the tube.

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