Module 5 : Statistical Thermodynamics

Lecture 8 : Application of Partition Function and Relation Between Entropy and Probability

Unsolved Problems

  1. For a particle in a cubical box of side Lc , estimate the number of quantum states at each of the following energy levels
  2. What are the possible directions of a particle having a translational energy of
  3. Consider an α -particle travelling with a kinetic energy of 5 MeV. Find the de Broglie wavelength associated with the particle?
  4. Calculate the number of ways of arranging 9(nine) distinguishing particles in five boxes so that .
  5. Calculate the number of ways of arranging 7(seven) indistinguishable particles in four boxes which are (a) distinguishable, (b) indistinguishable.