Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 13.1, Problem 4cT
To determine

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Hi, could I get some help with this macro-connection physics problem involving the Ideal Gas Law? The set up is: What is the average volume in nm3 (cubic nanometers) taken up by molecules of an ideal gas at room temperature (taken as 300 K), and 1 atm of pressure or 101325 N/m2 to 4 digits of precision if kB = 1.38e-23 J/K and 1 nm = 10-9 m? Thank you.
e. Consider one unit cell and assume the length of the side of the cube is “a”. Remember that “a” is the distance between the centers of two adjacent atoms. How long is “a”, the edge of a unit cell, in terms of radius, r, of an atom? Write also your answer in the summary table.Answer: __________f. Based on the earlier questions, a simple cubic cell has the equivalent of only 1 atom. Recall the volume of sphere with radius, r, is expressed as V = 4/3 πr3. With this information, find the total volume of all the spheres in this unit cell, expressed in terms of r. (Hint: To do this, take the total number of atoms and multiply it by the volume of one atom, with radius, r)Answer: __________
Solve the following problems Q.1 Derive an expression for plasma oscillation frequency for ions. Q.2 For a simple plasma oscillation with fixed ions and a space-time behavior expli(kx – wt)], calculate the phase ô for Ø1, E1, and v, if the phase of n, is zero. Illustrate the relative phases by drawing sine waves representing n1, Ø1, E1 and v, (a) as a function of x at t = 0, (b) as a function of t at x = 0 for w/k > 0, and (c) as a function of I at x = 0 for w/k < 0. Note that the time patterns can be obtained by translating the x patterns in the proper direction, as if the wave were passing by a fixed observer. Q.3. By writing the linearized Poisson's equation used in the derivation of simple plasma oscillations in the form V . (E E) = 0 derive an expression for the dielectric constant E applicable to high frequency longitudinal motions.
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