An electron is in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls.The ratio E₃/E₁ of the energy for n = 3 to that for n = 1 is: A)1/3 B)1/9 C)3/1 D)9/1 E)1/1

Question

Quizplus · Accepted Answer

The energy levels in a one-dimensional infinite potential well are proportional to the square of the quantum number n. Therefore, the ratio of the energy for n = 3 to that for n = 1 is (3^2)/(1^2) = 9/1.

An Electron Is in a One-Dimensional Trap with Zero Potential