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4 molecules are to be distributed in 2 cells . Find possible number of macrostates and corresponding no.of microstates.
Give the assumptions of Debye model. Hence calculate (gammaD)^3 where gamma is Debye cut -off frequency.
What are classical limits? Explain how quantum distribution laws are reduced to classical Maxwell-Boltzmann distribution?
Obtain an expression for vibrational specific heat of constant volume for a diatomic volume.
A simple harmonic one dimensional oscillator has energy level is given by En=(n+{1÷2}h cross omega.where omega is angular frequency and h=0,1,2,3,.... .Suppose that this oscillator is in thermal contact with a heat reservior at tempararature T low enough so that kT<<hcross omega.Find the ratio of probability of oscillator being in first excited state to the probability of its being in the ground state.
The equation of motion of classical harmonic oscillator is expressed by x=asin(omega)t.Show that probability of finding the particle between x and x+dx is given by,
P(x) dx=(dx)÷ (π√[d^2-x^2])
a balloon takes up 625L of helium at STP, if it is heated to 80.1°C, what will its new volume be to make it pressure constant
There is 2 * 10 ^ 3 m ^ 3 of gas inside a cylindrical vessel with movable piston. The gas temperature is -23 Celsius degrees. The temperature is increased to 227 Celsius degrees with constant pressure. What is the dependence of gas's volume as a function of its temperature? How many times the gas density at lower temperature is bigger than the gas density at higher temperature ?
Topic: Linear Expansion Experiment

List down 2 sources of error in the experiment and suggested solution for these.
Answer the question in 3 to 4 sentences.

Topic: Linear Expansion

1. What is the relationship between the change in length and change in the temperature of a body.
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