A particle is confined to a one-dimensional box of length with infinitely high walls
CHEMISTRY · Single correct · ISC · Chemistry · Structure of Atom · Dual nature of matter
Problem
A particle is confined to a one-dimensional box of length L with infinitely high walls. If the length of the box is suddenly doubled to 2L while all other conditions remain the same, which statement best describes how the spacing between adjacent energy levels changes?
(a) The spacing decreases by a factor of 2.
(b) The spacing stays the same because energy quantization depends only on Planck’s constant.
(c) The spacing decreases by a factor of 4.
(d) The spacing increases by a factor of 4.