What is transport phenomenon ? Obtain the expression for the coefficient of viscosity. Discuss its temperature dependence.
ifos-2013-subject-04-006
State Dulong-Petit's law and discuss its limitations in explaining heat capacities of solids. How were these efficiencies overcome by Debye ?
ifos-2013-subject-04-005
Establish Van der Waals equation of state for a real gas. Deduce expressions for critical constants and show that critical coefficient is independent of the nature of gas.
ifos-2013-subject-04-004
For a completely degenerate BE gas, discuss the condition for onset of BE condensation.
ifos-2013-subject-04-003
Discuss the significance of Saha's ionisation formula in classification of stars.
ifos-2013-subject-04-001
Derive the gas equation when it undergoes adiabatic process.
ifos-2012-subject-04-002
What are bosons ? Based on Bose-Einstein statistics, derive the expression for Bose-Einstein condensation.
ifos-2012-subject-04-006
Explain the thermodynamic behaviour of an ideal Fermi gas. What are fermions ?
ifos-2012-subject-04-005
Find the efficiency of a Carnot's engine working between 127^\circ\text{C} and 27^\circ\text{C}.
ifos-2012-subject-04-004
A motor car tyre has a pressure of 2\text{ atmospheres} at the room temperature of 27^\circ\text{C}. If the tyre suddenly bursts, find the resulting temperature.
ifos-2012-subject-04-003
Show that if an ideal gas is compressed isothermally its compressibility is \frac{1}{p}, whereas if it is compressed adiabatically its compressibility is \frac{1}{\gamma p} where \gamma = C_p / C_v.
ifos-2012-subject-04-001
Write down the expression for the Bose-Einstein distribution function and explain the meaning of the symbols used.
ifos-2011-subject-04-002
Consider a gas of photons in equilibrium and contained in a volume V at a temperature T. Using the Bose-Einstein statistics, calculate the total energy of the photon gas.
ifos-2011-subject-04-003
Show that the elemental quantity of heat \delta Q is not a total differential.
ifos-2011-subject-04-001
Explain why the distribution of speeds of molecules emerging through a small hole in an effusive molecular beam source is not a Maxwellian distribution.
ifos-2010-subject-04-002
(ii) -\left(\dfrac{\partial f}{\partial E}\right) is symmetric about the Fermi level.
ifos-2010-subject-04-004
Let f be the Fermi-Dirac distribution function, then show that— (i) -\left(\dfrac{\partial f}{\partial E}\right) is a maximum at the Fermi level;
ifos-2010-subject-04-003
N particles are distributed among three states having energies E = 0, E = kT and E = 2kT. If the total equilibrium energy of the system is 1000 kT, what is the value of N?
ifos-2010-subject-04-001