Using Heisenberg's Uncertainty Principle explain whether a particle trapped inside a one dimensional box of finite length can be at rest.

According to Heisenberg's Uncertainty Principle, the more precisely the position of a particle is known, the less precisely its momentum can be known, and vice versa. Mathematically, it is represented as:

\[
\Delta x \Delta p \geq \frac{\hbar}{2}
\]

where \(\Delta x\) is the uncertainty in position and \(\Delta p\) is the uncertainty in momentum, and \(\hbar\) __________ ______ ____ ____ __________ ______ ______ _________ _______ ___.
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