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Chapter 10: Q74E (page 470)
Question: The critical temperature lead is 7.2 K. What is the binding energy of its Cooper pairs at zero temperature?
Answer
The binding energy of the Cooper pairs is 217meV.
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Vibration-rotation spectra are rich For the CO molecule (data are given in Exercise 42), roughly how many rotational levels would there be between the ground vibrational state and the first excited vibrational state?
A string wrapped around a hub of radius Rpulls with force on an object that rolls without slipping along horizontal rails on "wheels" of radius. Assume a massmand rotational inertia I.
(a) Prove that the ratio ofto the object's acceleration is negative. (Note: This object can't roll without slipping unless there is friction.) You can do this by actually calculating the acceleration from the translational and rotational second la was of motion, but it is possible to answer this part without such a "real" calculation.
(b) Verify thattimes the speed at which the string moves in the direction of (i.e., the power delivered by) equals the rate at which the translational and rotational kinetic energies increase. That is.does all the work in this system, while the "internal" force does none. (c) Briefly discuss how parts (a) and (b) correspond to behaviors when an external electric field is applied to a semiconductor.
Question:If electrical conductivity were determined by the mere static presence of positive ions rather than by their motion the collision time would be inversely proportional to the electron's average speed. If however, it were dominated by the motion of the ions, it should be inversely proportional to the 鈥渁rea" presented by a jiggling ion, which is in turn proportional to the square of its amplitude as an oscillator. Argue that only the latter view gives the correct temperature dependence in conductors of . Use the equipartition theorem (usually covered in introductory thermodynamics and also discussed in Section 9.9).
The vertices of a tetrahedron are four vertices of a cube symmetrically chosen so that no two are adjacent. Show that the angle between the vertices of a tetrahedron is .
As we see in Figures 10.23, in a one dimensional crystal of finite wells, top of the band states closely resemble infinite well states. In fact, the famous particle in a box energy formula gives a fair value for the energies of the band to which they belong. (a) If for nin that formula you use the number of anitnodes in the whole function, what would you use for the box length L? (b) If, instead, the n in the formula were taken to refer to band n, could you still use the formula? If so, what would you use for L? (c) Explain why the energies in a band do or do not depend on the size of the crystal as a whole.
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