CE Lead is more dense than aluminum. (a) Is the buoyant force on a solid lead sphere greater than, less than, or equal to the buoyant force on a solid aluminum sphere of the same diameter? (b) Does your answer to part (a) depend on the fluid that is causing the buoyant force?

Solve for 1.1 and 1.2

2.9. (a) Solve the integral ...| (dx .dx3N) 3N and use it to determine the "volume" the relevant region of the phase space of an extreme relativistic gas ( = pc) of 3N particles moving in one dimension. Determine, as well, the number of ways of distributing a given energy E among this system of particles and show that, asymptotically, w0 = h³N. (b) Compare the thermodynamics of this system with that of the system considered in Problem 2.8.

Please answer the whole question with clear workings, thank you.

Question related to Quantum Mechanics : Problem 2.52

Please include explanations and work. Please write it out (do not type it out) so its easy to understand

(b) Write a necessary condition for a transformation (q,p) to (Q,P) to be connonical. Prove that P-2(1+√qcosp)√q sinp:Q-log(1+√qcosp)

QM 6.3. Answer question throughly and with much detail as possible. Include formulas/ all work.

Find a formula for the temperature of an Einstein solid in the limit q « N . Solve for the energy as a function of temperature to obtain U = N€e-€/kT (where € is the size of an energy unit).

Please answer 2B and show all work