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Q. Consider N atoms confined on a surface of area A at temperature T. The atoms form a two-dimensional (2D) gas of classical, non interacting particles. (a) Compute the partition function for system. (b) Calculate the Helmholtz free energy, F, of the gas. Compare it with the 3D case. (c) Estimate the internal energy of the gas. Compare it with the 3D case. (d) Calculate the surface tension of the gas, γ=(∂F/∂A)_(T,N). (e) Calculate the momentum distribution n(p) which determines the number of atoms N(p) with momenta between p and p + dp: N(p) = n(p)dp.
Fred and Barney are two electric charges that are initially held 1 meter apart and experience an electric repulsion of 10 pounds of force. What would be the force of repulsion between them be if the two were moved closer together so that they were..
A U tube is filled with water, and the two arms are capped. The tube is cylindrical, and the right arm has twice the radius of the left arm. The caps have negligible mass, are watertight, and can freely slide up and down tube.
Choose the correct explanation for why you can determine the maximum load given that theta_min is the minimum angle crane arm can make with the horizontal.
A ranger in a national park is driving at 44 km/h when a deer jumps onto the road 70 m ahead of the vehicle. After a reaction time of t s, the ranger applies the brakes to produce an acceleration of -3.00 m/s2.
A space traveller whose mass is 104kg leaves earth. What are his weight and masson earth and in interplanetary space where there are no near planetary objects.
Defined time necessary for one complete oscillation
The speakers produce the same single-frequency tone in either drawing and are in phase. The speed of sound is 343 m/s. Find the single smallest frequency that would produce both constructive interference in drawing 1 and destructive interference in d..
The displacement of an object moving under uniform acceleration is some function of time and the acceleration. Suppose we write this displacement as s=ka^mt^n, where k is the dimensional constant. Show by dimensional analysis that this expression ..
A 1.78 m long air column is open at both ends. The frequency of a certain harmonic is 828 Hz, and the frequency of the next-higher harmonic is 920 Hz. find out the speed of sound in the air column.
A disk of radius has a total charge uniformly distributed over its surface. The disk has negligible thickness and lies in the xy plane. What is the electric potential V (z) on z axis as a function of z, for z>0.
Describe two different energy alternatives to fossil fuels in detail. Discuss how they work, how they compare with fossil fuels, and their relative advantages and disadvantages.
A three-phase synchronous generator is connected to a step-up transformer T1, which is connected to a 60km long transmission line. As the far end of the line, a step-down transformer bank T2 is connected. The secondary of T2 supplies two loads L..
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