Finite potential well multiple choice

Nov 2019
Hi, I have this multiple choice question

Consider an electron trapped in a one-dimensional Finite well of width L. What is the minimum possible *Kinetic* energy of the electron?

A) 0

B) Between 0 and h^2/8mL^2

C) ≈h^2/8mL^2, but it is not possible to find the exact value because of the uncertainty principle

D) Exactly h^2/8mL^2

I realize that the answer is probably not A) since that would mean that the velocity is 0, and therefor there is no momentum and thus no uncertainty in momentum and the uncertainty in position would be infinitive because of the uncertainty principle. Intuitively I want to say that C) also in incorrect, but I can't rule it out.

Any help is appreciated!