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Chapter 40: Q. 36 (page 1176)
For a particle in a finite potential well of width L and depth , what is the ratio of the probability Prob ( in at ) to the probability Prob ( in at)?
The probability ratio will be
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FIGURE Qshows the de Broglie waves of three equal-mass particles. Which one is moving most slowly? Explain.
A finite potential well has depth. What is the penetration distance for an electron with energy
(a)
(b) and
(c)?
The graph in FIGURE EX40.16 shows the potential-energy function U(x of a particle. Solution of the Schr枚dinger equation finds that the n=3 level has and that the n=6 level has .
a. Redraw this figure and add to it the energy lines for the n=3 and n=6 states.
b. Sketch the n=3 and n=6 wave functions. Show them as oscillating about the appropriate energy line.
A -long box has a thin partition that divides the box into a-long section and a-long section. An electron confined in the shorter section is in the state. The partition is briefly withdrawn, then reinserted, leaving the electron in the longer section of the box. What is the electron鈥檚 quantum state after the partition is back in place?
An electron is confined in a harmonic potential well that has a spring constant of . What is the longest wavelength of light that the electron can absorb?
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