An electron is trapped in an infinite potential well.If the energy of the electron when it is in the n = 4 quantum state is 160 eV,what is the minimum possible value of the energy of the electron?
A)5.00 eV
B)10.0 eV
C)40.0 eV
D)80.0 eV

Question

Quizplus · Accepted Answer

The energy levels in an infinite potential well are quantized and given by the formula E_n = n^2 * E_1, where E_1 is the energy of the ground state (n=1). Given E_4 = 160 eV, we can find E_1 by solving 4^2 * E_1 = 160 eV, which gives E_1 = 10 eV. Thus, the minimum possible energy (ground state energy) is 10 eV.

An Electron Is Trapped in an Infinite Potential Well