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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.
A small ball of 53 grams is suspended from a string of length 86 centimeters and whirled in a circle lying in the horizontal plane. If the string makes and angle of 31 degrees with the vertical, find out the centripetal force experienced by the ball...
A continuous line of charge lies along an x axis, extending from x = +x0 to positive infinity. The line carries charge with the uniform linear charge density λ0. What are the magnitude and direction of the electric field at the origin.
An elevator releases 11200J of gravitational potential energy as descending 4m between floors. How much does elevator weigh.
A worker pulls horizontally on a crate on a rough horizontal floor, causing it to move forward with constant velocity. In the figure, force is the pull of the worker and force is the force of friction due to the floor.
Find out the frequency of the fourth harmonic if the string is fixed at one end and free at other. (That is, if the free end is attached to a long string of negligible mass.)
A man drags a 72.0 kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 26 degrees above the horizontal, and the strap is inclined 68 degrees above the horizontal. The center ..
A 2.62 kg mass attached to a light string rotates on the horizontal, frictionless table. The radius of the circle is 0.4207 m, and string can support a mass of 14.70 kg before breaking.
26 g of copper pellets are removed from a 300 degree Celsius oven and straight away dropped into 116 mL of water at 25 degree Celsius in an insulated cup. What will the new water temperature be.
Determine the position of the GPS satellite relative to and from the center of the earth and ratio of clock rates on a GPS clock in orbit and one on the surface of the earth.
You're carrying a 4 m long, 23 poles to a construction site when you decide to stop for a rest. You place one end of the pole on a fence post and hold other end of the pole 35 from its tip. How much force should you exert to keep the pole motionle..
A grindstone of radius 4 m is initially spinning with an angular speed of 8 rad/s. The angular speed is then increased to 10 rad/s over the next 4 seconds. Imagine that the angular acceleration is constant.
In adding, the snow exerts a retarding force on the sled that points opposite to the direction of motion, and has a magnitude of 57 N. Find out the acceleration of the sled and child.
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