Which of the following statements is false?
A)The behavior of free electrons in a metal is very different from the behavior of the molecules in an ordinary gas.
B)Ordinary gas molecules are described by the classical Maxwell-Boltzmann energy distribution function.
C)The main features of a Fermi electron gas can be understood by assuming an electron in a metal to be a particle in a box.
D)No two electrons in an atom can be in the same quantum state.
E)None of these is false.

Question

Quizplus · Accepted Answer

All the statements provided are true. A) Free electrons in a metal behave differently than molecules in a gas, largely due to their interactions and the quantum mechanical principles that govern their behavior. B) The Maxwell-Boltzmann distribution accurately describes the energy distribution of particles in an ordinary gas under classical conditions. C) The concept of an electron in a metal as a particle in a box is a simplification used to understand the quantum states of electrons in a metal, leading to the development of the Fermi gas model. D) The statement that no two electrons in an atom can be in the same quantum state is a restatement of the Pauli exclusion principle, a fundamental principle of quantum mechanics.

Which of the Following Statements Is False