As the length of the box increases, the energy levels for an electron trapped in a one-dimensional box also increase. This is because the energy levels are proportional to the square of the quantum number, which corresponds to the number of nodes or half-wavelengths that can fit within the box.
As the length of the box increases, more nodes can fit within the box, leading to higher energy levels. In other words, the higher the quantum number, the higher the energy level of the electron.
Additionally, as the length of the box increases, the energy level spacing between consecutive energy levels decreases. This is because the energy levels become more closely packed together as the box becomes larger.
Overall, as the length of the box increases, the energy levels for an electron trapped in a one-dimensional box increase and become more closely spaced together.
discussed what happen to the energy levers for an electron trapped in a one dimensional box as the length of the box increases
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