The ground state energy of an electron in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls is 2.0 eV.If the width of the well is doubled, the ground state energy will be:
A)0.5 eV
B)1.0 eV
C)2.0 eV
D)4.0 eV
E)8.0 eV

Question

Quizplus · Accepted Answer

The ground state energy of a particle in a one-dimensional infinite potential well is inversely proportional to the square of the width of the well. Doubling the width reduces the energy by a factor of four, so the energy becomes 0.5 eV.

The Ground State Energy of an Electron in a One-Dimensional