If we measure the particle’s position in the well, which is the more likely resu
ID: 1543659 • Letter: I
Question
If we measure the particle’s position in the well, which is the more likely result?
The particle has a larger wavelength in the left half of the well. The particle has a larger wavelength in the right half of the well. The particle wavelength is the same on both sides of the well.
At which values of x is the total energy of the particle the largest?
Atx=0
At x= L
The energy is the same everywhere.
9.
= 1000 nm. What is the second longest wavelength that can be absorbed?
The longest wavelength of light that can be absorbed by a particular harmonic oscillator is
a. = 188 nm
b. = 300 nm
c. = 500 nm
d. Every 1000 nm can be absorbed.
e. No shorter wavelengths can be absorbed.
10. Consider a well that has an adjustable shape, so that we can vary its two lowest energy levels, E1 (the ground state) and E2. We will put a particle into a superposition of the two energy states (i.e., = a 1 + b 2). Which of these manipulations will increase the frequency of oscillation of the particle’s spatial probability density?
a. Increase E1, keeping E2 constant. b. Increase |E2 – E1|.
c. Increase a, keeping b constant. d. Increase |b - a|.
e. None of the above.
Please show work. I don't care about the right answer I want to know how to approach these kinds of problems
A particle is in a bound energy state of the finite depth potential well shown. Left Right Left barrier Right barrier half half 7. If we measure the particle's position in the well, which is the more likely result? a. The particle has a larger wavelength in the left half of the well. b. he particle has a larger wavelength in the right half of the well c. The particle wavelength is the same on both sides ofthe well. 8. At which values of x is the total energy of the particle the largest? b. At x L c. The energy is the same everywhere. 9. The longest wavelength of light that can be absorbed by a particular harmonic oscillator is 1000 nm. What is the second longest wavelength that can be absorbed? a. 88 nm b. 300 nm d. Every s 1000 nm can be absorbed. e. No shorter wavelengths can be absorbed. 10. Consider a well that has an adjustable shape, so that we can vary its two lowest energy levels, EI (the ground state) and E. We will put a particle into a superposition of the two energy states (i.e., P Jay 1 by 20. Which of these manipulations will increase the frequency of oscillation of the particle's spatial probability density? a. Increase El, keeping E2 constant. b. Increase En-E c. Increase a, keeping b constant. d. Increase Ib at e. None of the above.Explanation / Answer
7.a)The particle has a larger wavelength in the left half of the well
8.c)The energy is the same everywhere.
9.c) = 500 nm.
10.b) Increase |E2 – E1|.
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