Question 1

A radio wave has a frequency of 8.6 × 108 Hz. What is the energy of one photon of this radiation?

Accepted Answer

A)  7.7 × 10-43 J 
B)  2.3 × 10-34 J 
C)  5.7 × 10-25 J 
D)  1.7 × 10-16 J 
E)  > 10-15 J 
A)  7.7 × 10-43 J 
B)  2.3 × 10-34 J 
C)  5.7 × 10-25 J 
D)  1.7 × 10-16 J 
E)  > 10-15 J

Question 2

The size of an atomic orbital is associated with

Accepted Answer

A)  the principal quantum number (n). 
B)  the angular momentum quantum number (l). 
C)  the magnetic quantum number (ml). 
D)  the spin quantum number (ms). 
E)  the angular momentum and magnetic quantum numbers, together. 
A)  the principal quantum number (n). 
B)  the angular momentum quantum number (l). 
C)  the magnetic quantum number (ml). 
D)  the spin quantum number (ms). 
E)  the angular momentum and magnetic quantum numbers, together.

Question 3

In an atom, the square of an electron's wave function

Accepted Answer

A)  becomes zero at the nucleus. 
B)  is smallest near the nucleus. 
C)  is largest near the nucleus. 
D)  may be zero at more than one point. 
E)  tends to infinity at large distances from the nucleus. 
A)  becomes zero at the nucleus. 
B)  is smallest near the nucleus. 
C)  is largest near the nucleus. 
D)  may be zero at more than one point. 
E)  tends to infinity at large distances from the nucleus.

Question 4

What is the speed of an electron in m/s if its wavelength is 0.155 nm?

Accepted Answer

The answer of What is the speed of an electron...

Question 5

In the quantum mechanical treatment of the hydrogen atom, the functions F1F1F1S1F1F1F10 and F1F1F1S1F1F1F102 both feature prominently. Briefly explain (in principle) how they are obtained and what, if anything, their physical meanings are.

Accepted Answer

The wave function, F1F1F1S1F1F1F10, is

Question 6

Electromagnetic radiation can be specified by its wavelength (F1F1F1S1F1F1F10), its frequency (F1F1F1S1F1F1F10) or its period (F1F1F1S1F1F1F10). The period F1F1F1S1F1F1F10 is the time it takes one complete wavelength to pass a point in space. Based on this information, what is the mathematical relationship between F1F1F1S1F1F1F10 and F1F1F1S1F1F1F10?

Accepted Answer

A)  (F1F1F1S1F1F1F10 = 1/F1F1F1S1F1F1F10) 
B)  (F1F1F1S1F1F1F10 = F1F1F1S1F1F1F10) 
C)  (F1F1F1S1F1F1F10 = F1F1F1S1F1F1F10/c) 
D)  c = F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 
E)  (F1F1F1S1F1F1F10 = c/F1F1F1S1F1F1F10) 
A)  (F1F1F1S1F1F1F10 = 1/F1F1F1S1F1F1F10) 
B)  (F1F1F1S1F1F1F10 = F1F1F1S1F1F1F10) 
C)  (F1F1F1S1F1F1F10 = F1F1F1S1F1F1F10/c) 
D)  c = F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 
E)  (F1F1F1S1F1F1F10 = c/F1F1F1S1F1F1F10)

Question 7

A photon has an energy of 5.53 × 10-17 J. What is its frequency in s-1?

Accepted Answer

A)  3.66 × 10-50 s-1 
B)  1.20 × 10-17 s-1 
C)  3.59 × 10-9 s-1 
D)  2.78 × 108 s-1 
E)  8.35 × 1016 s-1 
A)  3.66 × 10-50 s-1 
B)  1.20 × 10-17 s-1 
C)  3.59 × 10-9 s-1 
D)  2.78 × 108 s-1 
E)  8.35 × 1016 s-1

Question 8

What are the possible values for the following quantum numbers in an atom?
a. n
b. l
c. ml

Accepted Answer

a. n = 1, 2, 3, ...

Question 9

For all the allowed vibration(s) (wavelength(s)) of a plucked guitar string, what is the correct relationship between the length of the string, L, and the wavelength, F1F1F1S1F1F1F10?

Accepted Answer

A)  L = F1F1F1S1F1F1F10/2 
B)  L = F1F1F1S1F1F1F10 
C)  L = nF1F1F1S1F1F1F10/2 where n is a positive integer 
D)  L = nF1F1F1S1F1F1F10 where n is a positive integer 
E)  L = 1/F1F1F1S1F1F1F10 
A)  L = F1F1F1S1F1F1F10/2 
B)  L = F1F1F1S1F1F1F10 
C)  L = nF1F1F1S1F1F1F10/2 where n is a positive integer 
D)  L = nF1F1F1S1F1F1F10 where n is a positive integer 
E)  L = 1/F1F1F1S1F1F1F10

Question 10

In the quantum mechanical treatment of the hydrogen atom, the probability of finding an electron at any point is proportional to the wave function F1F1F1S1F1F1F10.

Accepted Answer

A) True 
 B)False

Question 11

Green light has a wavelength of 5200 Å. Calculate the energy of one photon of green light.

Accepted Answer

A)  3.4 × 10-40 J 
B)  3.4 × 10-30 J 
C)  3.8 × 10-29 J 
D)  3.4 × 10-27 J 
E)  3.8 × 10-19 J 
A)  3.4 × 10-40 J 
B)  3.4 × 10-30 J 
C)  3.8 × 10-29 J 
D)  3.4 × 10-27 J 
E)  3.8 × 10-19 J

Question 12

Continuous spectra are characteristic of heated solids.

Accepted Answer

A) True 
 B)False

Question 13

What is the minimum uncertainty in the position of a neutron if the uncertainty in its speed is 0.0250 m/s?

Accepted Answer

The answer of What is the minimum uncertainty in the...

Question 14

The interference pattern seen when light passes through narrow, closely spaced slits, is due to

Accepted Answer

A)  diffraction. 
B)  reflection. 
C)  refraction. 
D)  dispersion. 
E)  deflection. 
A)  diffraction. 
B)  reflection. 
C)  refraction. 
D)  dispersion. 
E)  deflection.

Question 15

The Rydberg equation is an example of an empirical equation.

Accepted Answer

A) True 
 B)False

Question 16

Consider the following adjectives used to describe types of spectrum: continuous line atomic emission absorption
How many of them are appropriate to describe the spectrum of radiation given off by a black body?

Accepted Answer

A)  none 
B)  one 
C)  two 
D)  three 
E)  four 
A)  none 
B)  one 
C)  two 
D)  three 
E)  four

Question 17

a. Use the Bohr equation to calculate the energy needed to ionize a hydrogen atom from its ground state.
b. What is the minimum wavelength of a photon needed for it to have the energy needed in (a)?

Accepted Answer

a. 2.18 ×

Question 18

For potassium metal, the work function F1F1F1S1F1F1F10 (the minimum energy needed to eject an electron from the metal surface) is 3.68 × 10-19 J. Which is the longest wavelength of the following which could excite photoelectrons?

Accepted Answer

A)  550. nm 
B)  500. nm 
C)  450. nm 
D)  400. nm 
E)  350. nm 
A)  550. nm 
B)  500. nm 
C)  450. nm 
D)  400. nm 
E)  350. nm

Question 19

The AM station KBOR plays your favorite music from the 20's and 30's at 1290 kHz. Find the wavelength of these waves.

Accepted Answer

A)  4.30 × 10-2 m 
B)  0.144 m 
C)  6.94 m 
D)  232 m 
E)  > 103 m 
A)  4.30 × 10-2 m 
B)  0.144 m 
C)  6.94 m 
D)  232 m 
E)  > 103 m

Question 20

In the quantum mechanical treatment of the hydrogen atom, the energy depends on the principal quantum number n but not on the values of l or ml.

Accepted Answer

A) True 
 B)False

Exam 7: Quantum Theory and Atomic Structure

A radio wave has a frequency of 8.6 × 108 Hz. What is the energy of one photon of this radiation?

The size of an atomic orbital is associated with

In an atom, the square of an electron's wave function

What is the speed of an electron in m/s if its wavelength is 0.155 nm?

In the quantum mechanical treatment of the hydrogen atom, the functions  and 2 both feature prominently. Briefly explain (in principle) how they are obtained and what, if anything, their physical meanings are.

Electromagnetic radiation can be specified by its wavelength (), its frequency () or its period (). The period  is the time it takes one complete wavelength to pass a point in space. Based on this information, what is the mathematical relationship between  and ?

A photon has an energy of 5.53 × 10-17 J. What is its frequency in s-1?

What are the possible values for the following quantum numbers in an atom? a. n b. l c. ml

For all the allowed vibration(s) (wavelength(s)) of a plucked guitar string, what is the correct relationship between the length of the string, L, and the wavelength, ?

In the quantum mechanical treatment of the hydrogen atom, the probability of finding an electron at any point is proportional to the wave function .

Green light has a wavelength of 5200 Å. Calculate the energy of one photon of green light.

Continuous spectra are characteristic of heated solids.

What is the minimum uncertainty in the position of a neutron if the uncertainty in its speed is 0.0250 m/s?

The interference pattern seen when light passes through narrow, closely spaced slits, is due to

The Rydberg equation is an example of an empirical equation.

Consider the following adjectives used to describe types of spectrum: continuous line atomic emission absorption How many of them are appropriate to describe the spectrum of radiation given off by a black body?

a. Use the Bohr equation to calculate the energy needed to ionize a hydrogen atom from its ground state. b. What is the minimum wavelength of a photon needed for it to have the energy needed in (a)?

For potassium metal, the work function  (the minimum energy needed to eject an electron from the metal surface) is 3.68 × 10-19 J. Which is the longest wavelength of the following which could excite photoelectrons?

The AM station KBOR plays your favorite music from the 20's and 30's at 1290 kHz. Find the wavelength of these waves.

In the quantum mechanical treatment of the hydrogen atom, the energy depends on the principal quantum number n but not on the values of l or ml.

Keys to the Study of Chemistry

The Components of Matter

Stoichiometry of Formulas and Equations

The Major Classes of Chemical Reactions

Gases and the Kinetic-Molecular Theory

Thermochemistry: Energy Flow and Chemical Change

Electron Configuration and Chemical Periodicity

Models of Chemical Bonding

The Shapes of Molecules

Theories of Covalent Bonding

Intermolecular Forces: Liquids, Solids, and Phase Changes

The Properties of Mixtures: Solutions and Colloids

Periodic Patterns in the Main Group Elements: Bonding, Structure, and Reactivity

Organic Compounds and the Atomic Properties of Carbon

Kinetics: Rates and Mechanisms of Chemical Reactions

Equilibrium: the Extent of Chemical Reactions

Acid-Base Equilibria

Ionic Equilibria in Aqueous Systems

Thermodynamics: Entropy, Free Energy, and the Direction of Chemical Reactions

Electrochemistry: Chemical Change and Electrical Work

The Elements in Nature and Industry

The Transition Elements and Their Coordination Compounds

Nuclear Reactions and Their Applications

Filters

A radio wave has a frequency of 8.6 × 10⁸ Hz. What is the energy of one photon of this radiation?

In the quantum mechanical treatment of the hydrogen atom, the functions  and ² both feature prominently. Briefly explain (in principle) how they are obtained and what, if anything, their physical meanings are.

A photon has an energy of 5.53 × 10^-17 J. What is its frequency in s^-1?

What are the possible values for the following quantum numbers in an atom? a. n b. l c. m_l

For potassium metal, the work function  (the minimum energy needed to eject an electron from the metal surface) is 3.68 × 10^-19 J. Which is the longest wavelength of the following which could excite photoelectrons?

In the quantum mechanical treatment of the hydrogen atom, the energy depends on the principal quantum number n but not on the values of l or m_l.