Physics, 10.07.2019 21:20 lovelarissa
Use the result for fund for the two-dimensional case in problem 6.33 and compare the qualitative behavior of p(t) in one, two, and three dimensions. problem 6.60. high tempetrature limit of the ideal fermi gas if t tr at fixed density, quantum effects can be neglected and the thermal properties of an ideal fermi gas reduce to the ideal classical gas. in the follkowing we will find the first correction to the classical pressure equation of state. (a) does the presure increase or decrease when the temperature is lowered (at constant density)? that is, what is the sign of the first quantum correction to the classical pressure equation of state? the pressure is given by see (6.109) (2m)3/2 p- 3/2 de (6.264) in the high temperature limit, e 1, we can make the expansion. (6.265a) ele-+ 1+-e-) e-1e-e-p) (6.265b) if ue use (6.265b) we ohtain /2e(1-ee)dr- (6.266) use (6.266) to show that p is given by m3/2(kt)/2 p 2/23/213 (6.267) 25/2 chapter 6. many-particle systems 351 (b) derive an expression for n similar to (6.267). eliminate a and show that the leading order correction to the equation of state is given by - nur1+ 8/2 ph pv (6.268a) 4 (mkt/2 (6.268b) (e) what is the condition for the carrection term in (6.268h) to be small? note that as the temperature is lowered at constant density, the pressure increases. what do you think would be the effect of base statistics in this context (see problem 6.61)? mullin and blaylock (2003) have emphasized that it is misleading to interpret the siga of the correction term in (6.268b) in terms of an effective repulsive exchange "force," and stress that the positive sign is a consequence of the symmetrization requirement for same spin fermions. problem 6.61. high temperature limit of ideal bose gas if t t at fixed density, quantum effects can be neglected and thbe thermal properties of an ideal bose gas reduce to those of the ideal classical gas. does the pressure increase or decrease when the temperature is lowered (at constant density)? that is, what is the first quantum correction to the classical equation of state? the pressure is given by see (6.109) 21/2m/2(t/2 /dz 32h8 p- (6.269) e-p-1 as in problem 6.60 and show that follow the same procedure /2 ph3 nat[ pv- (6.270) 2 (mkt/2 we see that ss the temperature is lowered at constant density, the pressure becomes less than its classical valne
Answers: 2
Physics, 22.06.2019 06:00, nelsy7610
Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)
Answers: 2
Physics, 22.06.2019 17:30, evanwall91
Students in an introductory physics lab are performing an experiment with a parallel-plate capacitor made of two circular aluminum plates, each 11 cm in diameter, separated by 1.0 cm. how much charge can be added to each of the plates before a spark jumps between the two plates? for such flat electrodes, assume that value of 3×106n/c of the field causes a spark.
Answers: 2
Physics, 22.06.2019 19:40, flore9584
Which of the following is a characteristic shared by both electron and light microscopes? a. they both employ the use of objective lenses. b. both microscopes require an internal camera to visualize the specimen. c. both microscopes have a resolving power of 0.01 nm. d. they both utilize white light to magnify the specimen.
Answers: 2
Use the result for fund for the two-dimensional case in problem 6.33 and compare the qualitative beh...
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