The first three particleinabox wave functions are shown.

1
Q40.1
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?
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
A40.1
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?
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
Q40.2
The first three particle-in-a-box wave functions
are shown. For which wave function is the
average value of thex-component of momentum the
greatest?
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
A40.2
The first three particle-in-a-box wave functions
are shown. For which wave function is the
average value of thex-component of momentum the
greatest?
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
Q40.3
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?
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
A40.3
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?
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
Q40.4
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 U0. In
which region is it impossible to find the
particle?
1. x lt 0 2. between x 0 and x L 3. x gt L 4.
misleading question the particle can be found
in all three regions
8
A40.4
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 U0. In
which region is it impossible to find the
particle?
1. x lt 0 2. between x 0 and x L 3. x gt L 4.
misleading question the particle can be found
in all three regions
9
Q40.5
The illustration shows the first six energy
levels of a harmonic oscillator. Which statements
about a quantum-mechanical harmonic oscillator
are true?
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
A40.5
The illustration shows the first six energy
levels of a harmonic oscillator. Which statements
about a quantum-mechanical harmonic oscillator
are true?
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