For a particle in a one-dimensional box, what happens to the ground-state energy if the width of the box is halved?
A) nothing, it stays the same
B) it doubles
C) it halves
D) it quadruples
E) it quarters

Question

Quizplus · Accepted Answer

The ground-state energy of a particle in a one-dimensional box is inversely proportional to the square of the width of the box. Therefore, if the width is halved, the energy quadruples.

For a Particle in a One-Dimensional Box, What Happens to the Ground-State