1. The first three particle-in-a- box wave functions are shown. For which wave function is the probability of finding the particle near x = L/2 the smallest? Q40.1 1. n = 1 2. n = 2 3. n = 3 4. the probability is the same (and nonzero) for each wave function 5. the probability is zero for each wave function

2. The first three particle-in-a- box wave functions are shown. For which wave function is the probability of finding the particle near x = L/2 the smallest? A40.1 1. n = 1 2. n = 2 3. n = 3 4. the probability is the same (and nonzero) for each wave function 5. the probability is zero for each wave function

3. The first three particle-in-a- box wave functions are shown. For which wave function is the average value of the x-component of momentum the greatest? Q40.2 1. n = 1 2. n = 2 3. n = 3 4. the value is the same (and nonzero) for each wave function 5. the value is zero for each wave function

4. The first three particle-in-a- box wave functions are shown. For which wave function is the average value of the x-component of momentum the greatest? A40.2 1. n = 1 2. n = 2 3. n = 3 4. the value is the same (and nonzero) for each wave function 5. the value is zero for each wave function

5. The first three wave functions for a finite square well are shown. For which wave function is the probability of finding the particle outside the square well the smallest? Q40.3 1. n = 1 2. n = 2 3. n = 3 4. the probability is the same (and nonzero) for each wave function 5. the probability is zero for each wave function

6. The first three wave functions for a finite square well are shown. For which wave function is the probability of finding the particle outside the square well the smallest? A40.3 1. n = 1 2. n = 2 3. n = 3 4. the probability is the same (and nonzero) for each wave function 5. the probability is zero for each wave function

7. The illustration shows a possible wave function for a particle tunneling through a potential-energy barrier of width L. The particle energy is less than the barrier height U 0. In which region is it impossible to find the particle? Q40.4 1. x < 0 2. between x = 0 and x = L 3. x > L 4. misleading question — the particle can be found in all three regions

8. The illustration shows a possible wave function for a particle tunneling through a potential-energy barrier of width L. The particle energy is less than the barrier height U 0. In which region is it impossible to find the particle? A40.4 1. x < 0 2. between x = 0 and x = L 3. x > L 4. misleading question — the particle can be found in all three regions

9. The illustration shows the first six energy levels of a harmonic oscillator. Which statements about a quantum-mechanical harmonic oscillator are true? Q40.5 1. the particle can be found at positions beyond the region allowed by Newtonian mechanics 2. the wave functions do not have a definite wavelength 3. all of the wave functions are equal to zero at x = 0 4. both 1. and 2. are true 5. all of 1., 2., and 3. are true

10. The illustration shows the first six energy levels of a harmonic oscillator. Which statements about a quantum-mechanical harmonic oscillator are true? A40.5 1. the particle can be found at positions beyond the region allowed by Newtonian mechanics 2. the wave functions do not have a definite wavelength 3. all of the wave functions are equal to zero at x = 0 4. both 1. and 2. are true 5. all of 1., 2., and 3. are true