A)Which of the following is NOT a valid boundary condition for a particle inside a 1D...

A)Which of the following is NOT a valid boundary condition for a particle inside a 1D box of finite length L? For this problem, assume that the potential energy outside the box is infinite.

1-When x = 0, PHI = 0.

2-The particle can only be inside the box.

3-The wave function is complex.

4-If the wavefunction is normalized, the integral of the complex conjugate from 0 to L will be 1.

5-When x = L, PHI = 0.

B)Looking at the energy eigenvalues for a 1D particle in a box, which of the following can we conclude about the change in energy between levels?

1-Energy level spacing increases when the box becomes more confined.

2-Energy level spacing increases as Planck's constant increases.

3-Energy level spacing increases when particle mass decreases and when the box becomes more confined.

4-Energy level spacing increases when particle mass decreases.

5-Energy level spacing does not change with particle mass.

C)One argon molecule is confined in 1.0 m³ box at 298 K. The probability of the Ar molecule being in the ground state (n=1) is very small. Why?

1-The change in energy between levels is very small compared to kT.

2-The partition function for this molecule is very large.

3-The box is much larger than the de Broglie wavelength of argon.

4-All of these answers are correct.

Solutions

Expert Solution

genius_generous answered 1 year ago

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