A neutron moves between rigid walls 9.82 fm apart.The energy of its fundamental state is
A)2.12 MeV.
B)3.41 MeV.
C)2.90 MeV.
D)3.07 MeV.
E)5.28 MeV.

Question

Quizplus · Accepted Answer

The energy of a particle in a one-dimensional box is given by $ E_n = \frac{n^2 h^2}{8mL^2} $. For the fundamental state, $ n=1 $. Using the mass of a neutron $ m = 1.675 \times 10^{-27} $ kg, Planck's constant $ h = 6.626 \times 10^{-34} $ Js, and $ L = 9.82 \times 10^{-15} $ m, the energy is approximately 2.12 MeV.

A Neutron Moves Between Rigid Walls 9