By Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden
In order to equip hopeful graduate scholars with the data essential to go the qualifying exam, the authors have assembled and solved general and unique difficulties from significant American universities – Boston college, college of Chicago, collage of Colorado at Boulder, Columbia, college of Maryland, college of Michigan, Michigan country, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, college of Tennessee at Knoxville, and the collage of Wisconsin at Madison – and Moscow Institute of Physics and know-how. a variety of fabric is roofed and comparisons are made among related difficulties of alternative faculties to supply the scholar with sufficient info to think cozy and assured on the examination. Guide to Physics Problems is released in volumes: this publication, Part 2, covers Thermodynamics, Statistical Mechanics and Quantum Mechanics; Part 1, covers Mechanics, Relativity and Electrodynamics.
Praise for A advisor to Physics difficulties: half 2: Thermodynamics, Statistical Physics, and Quantum Mechanics:
"… A consultant to Physics difficulties, half 2 not just serves an incredible functionality, yet is a excitement to learn. through picking out difficulties from diverse universities or even diversified clinical cultures, the authors have successfully kept away from a one-sided method of physics. all of the difficulties are reliable, a few are very attention-grabbing, a few certainly interesting, a number of are loopy; yet them all stimulate the reader to contemplate physics, now not in simple terms to coach you to cross an examination. i myself acquired huge excitement in operating the issues, and that i could wager that anybody who desires to be a qualified physicist might adventure related entertainment. … This e-book should be an outstanding aid to scholars and professors, in addition to a resource of enjoyment and enjoyment." (From Foreword by means of Max Dresden)
"An very good source for graduate scholars in physics and, one expects, additionally for his or her teachers." (Daniel Kleppner, Lester Wolfe Professor of Physics Emeritus, MIT)
"A great collection of difficulties … Thought-provoking, interesting, and simply simple enjoyable to solve." (Giovanni Vignale, division of Physics and Astronomy, collage of Missouri at Columbia)
"Interesting certainly and stress-free. the issues are inventive and their suggestions very informative. i'd definitely suggest it to all graduate scholars and physicists in most cases … really worthy for academics who want to take into consideration difficulties to give of their course." (Joel Lebowitz, Rutgers University)
"A very completely assembled, attention-grabbing set of difficulties that covers the most important parts of physics addressed via Ph.D. qualifying assessments. … Will turn out Most worthy to either school and scholars. certainly, I plan to take advantage of this fabric as a resource of examples and illustrations that may be labored into my lectures." (Douglas turbines, college of California at Irvine)
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Additional info for A Guide To Physics Problems. Thermodynamics, Statistical Physics, And Quantum Mechanics
C) Now consider one half of the enclosure filled with diatomic molecules of oxygen isotope and the other half with Will the answer be different from parts (a) and (b)? 55 Leaky Balloon (Moscow Phys-Tech) Sometimes helium gas in a low-temperature physics lab is kept temporarily in a large rubber bag at essentially atmospheric pressure. A physicist left a 40-L bag filled with He floating near the ceiling before leaving on vacation. When she returned, all the helium was gone (diffused through the walls of the bag).
Hint: b) What is the total energy of the radiation in the box for c) What is the entropy of the radiation for d) Assume that photons can create neutral particles of mass and zero spin and that these neutral particles can create photons by annihilation or some other mechanism. The cavity now contains photons and particles in thermal equilibrium at a temperature Find the particle density Consider only the process where a single photon is emitted or absorbed by making a single particle. Hint: Minimize the free energy.
What is B? 58 Phase Transition (MIT) The curve separating the liquid and gas phases ends in the critical point where Using arguments based on thermodynamic stability, determine at the critical point. 59 Hydrogen Sublimation in Intergalactic Space (Princeton) A lump of condensed molecular hydrogen in intergalactic space would tend to sublimate (evaporate) because the ambient pressure of hydrogen is well below the equilibrium vapor pressure. Find an order-of-magnitude estimate of the rate of sublimation per unit area at The latent heat of sublimation is and the vapor pressure at the triple point is of Hg.