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Ch 40 Relevant Concept Questions

Ch 40 Relevant Concept Questions - Hence the potential...

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University Physics Young and Freedman Chapter 40 Concept Questions and solutions Chapter 40: Pre-Chapter Question Q: The wavelength of the electron standing wave has nearly the same value at all points inside the circle of iron atoms shown in the image. What does this tell you about the potential energy function inside the circle? A: The wavelengths of a stationary-state wave function varies with position if the potential energy varies with position. One example is a harmonic oscillator wave function, as discussed in Sec. 40.4. But if the potential energy is independent of position, as is the case inside the “box” described in Sec. 40.1, the wavelength is also independent of position.
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Unformatted text preview: Hence the potential energy has almost the same value at all points inside the circle of iron atoms shown in the image. 1. If a particle in a box is in the nth energy level, what is the avg. value of its x-component of the momentum px? Our derivation of the stationary-state wave functions for a particle in a box shows that they are superpositions of waves propagating in opposite directions, just like a standing wave on a string. One wave has momentum in the positive x-directions, while the other wave has an equal magnitude of momentum in the negative x-direction. The total x-component of momentum is zero....
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