1.7 [5 points] What is the physical interpretation of the horizontal intercept?

1.3[5 points] Which of the following are characteristics about the quantum harmonic oscillator? Choose all that apply. I. Evenly spaced energy states Ⅱ. The potential energy function is symmctric about the origin in the position coordinateⅢ. The ground state has zero kinetic energyⅣ. The probability of finding the particle outside the classically ailowed range is nonzero V. The ground state energy is zero

1.4[4 points] For a single quantum barmonic oscillator that has an angular frequency w. At temperature T, what is the partition function?

1.5 [6 points] Write down the distribution f function for photons and fermions, respectively.

1.6[4 points] In an experimental observation of the photoelectric effect, docs increasing the light amplitude change the stopping potcntial?

1.8 [6 points] What is physical interpretation of the slope of the line?

2.1 [ 10 points] Sketch and determine the constant A in terms of a, b.

2.2 [ 10 points] What is the probability of finding the particle to the left of a? b-a

3.[10 points] An electron has a speed v=0.85 c , c is the speed of light. Find its total energy and kinetic energy in electron volts.

4.[10 points] A free particle of mass m and energy E is moving from x = -∞ to x =∞. There is a potential stcp V, where V ＜ E, for x ≥0. Find the transmission and reflection coeficients for the particle in the one-dimensional step potential.

5.1[10 points] Calculate the highest energy level (called Fermi energy) ef of the electron in the metal in terms of N, V and m.