An electron is confined to move only along the x-axis between two infinitely high…
CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom
Problem
An electron is confined to move only along the x-axis between two infinitely high potential barriers that are 1.0 nm apart. The barriers are perfectly reflecting, so the electron cannot exist outside this region.
(a) Calculate the magnitude of the electron’s momentum for the lowest-energy state and for the first excited state.
(b) Determine the numerical difference between the magnitudes of momentum for these two adjacent states.
(c) Using your answers from part (a), compute the corresponding energy difference between the lowest-energy state and the first excited state.