State the Virial theorem and prove Boyle’s law using it.
_________ ________ ______ ________ _______ _______ ____.
_________ ___ ___ ____ ___ ____ ____ _______.
_____ ____ ____ _____ ___ ______ ______.
___ ______ _______ ______ _____ ____ ____ ___ ________.
_____ __________ __________ ___ _________.
_____ _________ _____ ______ _____ ___ ______ ___ ________ __________.
__________ ________ ________ ________ ________ _____.
_____ ____ _________ _____ ________ ___ ___ _________ _____ __________.
______ ____ __________ _____ ______ __________ ______.
____ ______ __________ _________ ______ ___.
_________ __________ ______ _____ _______ ________ ___ ________.
________ ____ ___ _________ _______ ____ ______ _______ _________ ______ _________ _________.
____ ____ _________ ____ ____ ____ _______ _____ __________ ____ ______ ______.
___ _________ _____ _____ ______ __________ _____.
___ ____ ______ _____ _________ _______ ______ ___ ____ ____ ______.
________ _________ ___ ________ _______ _______ ____ ____ ______.
______ _______ ____ ____ _____ _____ __________ __________.
___ _________ ____ ________ _____.
____ __________ _____ ________ ___ _______.
________ ______ ___ ________ _________ _________ _______ _____ _______.
______ _____ ___ _____ ___ __________ _________ __________ _______ _______ ________.
________ _________ __________ ______ ____.
________ ________ __________ _________ _________.
__________ ______ _____ _______ _________ _________ ___ __________ ______ _______.
______ __________ ______ ________ ______.
_______ ________ __________ __________ ____.
________ ______ ______ ____ _______ ___ __________ __________ __________ ___ _____.
______ _____ _______ ________ _____ ______ _____ ____.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
Using the relation of thermodynamic probability
Obtain an expression of Fermi Dirac distribution function. Show a plot of (the occupation index of a state corresponding to energy
) versus
for different temperatures and discuss it. What is the physical interpretation of Fermi energy?
Show under what condition Poisson distribution tends to Normal distribution.
State the Virial theorem and prove Boyle’s law using it.
The time evolution of the quantum state, is given by the Schrödinger wave equation:
The Hamiltonian for the non-relativistic, non-interacting, monoatomic ideal gas is given by
where m is the mass of the particle and U(qi) is the potential energy. Obtain an expression of the phase space volume of the energy shell and hence obtain an expression of number of microstates.
State and prove quantum Liouville equation.
Show that the probability that a state with energy above the Fermi level
filled is equal to the probability of a state with energy
below the Fermi level
is empty.