Consider a particle of mass m in a cubic box of side l. (a) calculate the number of classical states with energy smaller than e. (b) calculate the number of quantum states with energy smaller than e, and compare with the classical result. (c) from the above results, obtain the equation of state for an ideal gas of n such particles in the microcanonical ensemble. comment on the role played by the space dimension, d.

Anonzero net force acts on a particle and does work. which one of the following statements is true? the kinetic energy of the particle changes, but the speed of the particle does not change. the kinetic energy of the particle does not change, but the speed of the particle does change. the kinetic energy of the particle changes, but the velocity of the particle does not change. the kinetic energy and the speed of the particle change, but the velocity of the particle does not change. the kinetic energy, speed, and velocity of the particle change.