SCREENING TEST 2020-2021
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1. What is the gaussian distribution and what are the relevant parameters describing it?

2. What is the binomial distribution and what are the relevant parameters describing it?

3. What is the probability that, on two independent dice launch, I get the numbers 3 and 6.

4. What is the difference between isothermal and adiabatic transformation.

5. A damped harmonic oscillator of mass $m$ and oscillator characteristic
frequency $\omega$ initially departs with initial velocity $v_0$ from the
equilibrium position. After some time we found it at rest.
What is the work done by the damping force on the system?

6. Consider a transformation in a perfect classical gas. 
By doubling the pressure we get an halving of the volume. What is the transformation?
Do the same kind of transformation behave the same for a quantum Fermi gas?

7. $N$ independent two level systems are thermalized at a given temperature T. What is the ratio between the average number of systems in the higher energy level and that on the lower?

8. What is the Maxwell-Boltzmann distribution?

9. What are the Bose-Einstein and Fermi-Dirac distributions.

10. What is the equipartition principle and when it holds?