Question 1

According to Bohr's model, the radius of an electron orbit for n = 4 in a hydrogen atom is

Accepted Answer

A)  0.212 nm. 
B)  0.846 nm. 
C)  0.0265 nm. 
D)  0.00331 nm. 
E)  None of these is correct.

Question 2

If the frequency of light causing photoemission of electrons is doubled, the kinetic energy of the ejected electrons

Accepted Answer

A)  increases by a factor of  . 
B)  doubles. 
C)  decreases by a factor of 2. 
D)  increases by a factor less than 2. 
E)  increases by a factor more than 2.

Question 3

A proton has five times the momentum of an electron. If the electron has a de Broglie wavelength λ, then the de Broglie wavelength of the proton is

Accepted Answer

A)  λ. 
B)  5λ. 
C)  λ /5. 
D)  25λ. 
E)  λ /25.

Question 4

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

Accepted Answer

A)  The proton attracts the electron. 
B)  The proton forms the nucleus of the atom. 
C)  The electron orbits the proton. 
D)  The mass of the atom is less than the sum of the individual proton and electron masses. 
E)  The ground-state atom is stable to radiative collapse.

Question 5

The energy associated with the lowest n = 1 state in a hydrogen atom is - 13.6 eV. The wavelength of the emission line corresponding to the transition from n = 4 to n = 3 is

Accepted Answer

A)  1.9 × 10-6 m. 
B)  8.2 × 10-7 m. 
C)  5.3 × 105 m. 
D)  3.0 × 10-25 m. 
E)  1.6 × 1014 m.

Question 6

The electron microscope is a welcome addition to the field of microscopy because electrons have a __________ wavelength than light, thereby increasing the __________ of the microscope.

Accepted Answer

A)  longer; resolving power 
B)  longer; breadth of field 
C)  shorter; resolving power 
D)  longer; intensity 
E)  None of these is correct.

Question 7

An electron in the hydrogen atom ground-state energy = -13.6 eV) makes a transition from the n = 3 to the n = 1 energy level. Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

Accepted Answer

A)  12.1 eV, emitted 
B)  109 eV, emitted 
C)  109 eV, absorbed 
D)  12.1 eV, absorbed 
E)  15.2 eV, absorbed

Question 8

A classical wave

Accepted Answer

A)  behaves like a water wave. 
B)  exhibits diffraction. 
C)  exhibits interference. 
D)  has its energy spread out continuously in space and time. 
E)  is described by all of the above.

Question 9

The d state of an electronic configuration corresponds to

Accepted Answer

A)  n = 2. 
B)   = 2. 
C)   = 1. 
D)  n = 0. 
E)   = 3.

Question 10

What is the momentum in SI units) of a photon of wavelength λ = 560 nm? Planck's constant h = 6.626 × 10-34 J·s.)

Accepted Answer

A)  3.7 × 10-42 kg · m/s 
B)  8.4 × 10-25 kg · m/s 
C)  1.2 × 10-30 kg · m/s 
D)  1.2 × 10-27 kg · m/s 
E)  3.6 × 10-27 kg · m/s

Question 11

Calculate the photon energy for light of wavelength λ = 600 nm.Planck's constant h = 6.626 × 10-34 J·s.)

Accepted Answer

A)  1.24 eV 
B)  1.98 eV 
C)  2.07 eV 
D)  2.48 eV 
E)  2.98 eV

Question 12

The energy of the nth level in a one-electron atom is  . Consider a beryllium ion with all but one of its electrons removed a beryllium atom normally has four electrons). What is the wavelength of a photon emitted when the electron makes the transition from the third-lowest to the lowest energy state?

Accepted Answer

A)  1.03 × 10-7 m 
B)  2.03 × 10-8 m 
C)  6.43 × 10-9 m 
D)  5.71 × 10-9 m 
E)  1.03 × 10-27 m

Question 13

The first Bohr radius, a0, is 0.0529 nm and the corresponding energy, E0, is 13.6 eV. The wavelength of the light emitted as a hydrogen atom undergoes a transition from state n = 4 to n = 2 is

Accepted Answer

A)  656 nm. 
B)  486 nm. 
C)  434 nm. 
D)  410 nm. 
E)  None of these is correct.

Question 14

The energy of a quantum of radiation that has a wavelength of 447 nm in a vacuum is approximately

Accepted Answer

A)  2.37 × 10-19 J. 
B)  1.60 × 10-19 J. 
C)  9.88 × 10-33 J. 
D)  9.11 × 10-31 J. 
E)  None of these is correct.

Question 15

Magnetic resonance imaging MRI) is a much-used noninvasive diagnostic technique in medicine. The radio frequency photons used have energies of about 10-7 eV. What wavelength does this correspond to?

Accepted Answer

A)  12 nm 
B)  1.2 m 
C)  12 m 
D)  1.2 nm 
E)  120 m

Question 16

The constant in the Rydberg formula is RH = 10.96776 µm-1. The wavelength predicted by this formula for m = 3 and n = 2 is

Accepted Answer

A)  656 nm. 
B)  486 nm. 
C)  434 nm. 
D)  410 nm. 
E)  None of these is correct.

Question 17

The figure shows x rays incident on a crystal spectrometer that are reflected from the crystal and used for Compton scattering in a carbon block. Of the wavelengths shown, λ3 ≠ λ; thus, which of the following expressions is true?

Accepted Answer

A)  λ 1 =λ 2 = λ 3 = λ 4 
B)  λ = λ 1 > λ 3 
C)  λ 2 1 4 
D)  λ 3 > λ 1 = λ 4 
E)  λ 4 > λ 2 > λ

Question 18

The critical experiments that established the nuclear nature of atoms were performed by

Accepted Answer

A)  Bohr. 
B)  Balmer. 
C)  Rydberg and Ritz. 
D)  Geiger and Marsden. 
E)  Thomson.

Question 19

Estimate the number of photons emitted by the Sun in a second. The power output from the Sun is 4 × 1026 W and assume that the average wavelength of each photon is 550 nm.

Accepted Answer

A)  1026  
B)  1045 
C)  1023 
D)  1028  
E)  None of the above.

Question 20

The above figure shows a schematic energy-level diagram for the hydrogen atom. The series that represents the Balmer series is

Accepted Answer

A)  1. 
B)  2. 
C)  3. 
D)  4. 
E)  5.

Exam 26: Quantum Physics and Atomic Structure

According to Bohr's model, the radius of an electron orbit for n = 4 in a hydrogen atom is

If the frequency of light causing photoemission of electrons is doubled, the kinetic energy of the ejected electrons

A proton has five times the momentum of an electron. If the electron has a de Broglie wavelength λ, then the de Broglie wavelength of the proton is

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

The energy associated with the lowest n = 1 state in a hydrogen atom is - 13.6 eV. The wavelength of the emission line corresponding to the transition from n = 4 to n = 3 is

The electron microscope is a welcome addition to the field of microscopy because electrons have a wavelength than light, thereby increasing the of the microscope.

An electron in the hydrogen atom ground-state energy = -13.6 eV) makes a transition from the n = 3 to the n = 1 energy level. Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

A classical wave

The d state of an electronic configuration corresponds to

What is the momentum in SI units) of a photon of wavelength λ = 560 nm? Planck's constant h = 6.626 × 10^-34 J·s.)

Calculate the photon energy for light of wavelength λ = 600 nm.Planck's constant h = 6.626 × 10^-34 J·s.)

The first Bohr radius, a₀, is 0.0529 nm and the corresponding energy, E₀, is 13.6 eV. The wavelength of the light emitted as a hydrogen atom undergoes a transition from state n = 4 to n = 2 is

The energy of a quantum of radiation that has a wavelength of 447 nm in a vacuum is approximately

Magnetic resonance imaging MRI) is a much-used noninvasive diagnostic technique in medicine. The radio frequency photons used have energies of about 10^-7 eV. What wavelength does this correspond to?

The constant in the Rydberg formula is R_H = 10.96776 µm^-1. The wavelength predicted by this formula for m = 3 and n = 2 is

The figure shows x rays incident on a crystal spectrometer that are reflected from the crystal and used for Compton scattering in a carbon block. Of the wavelengths shown, λ₃ ≠ λ; thus, which of the following expressions is true?

The critical experiments that established the nuclear nature of atoms were performed by

Estimate the number of photons emitted by the Sun in a second. The power output from the Sun is 4 × 10²⁶ W and assume that the average wavelength of each photon is 550 nm.

The above figure shows a schematic energy-level diagram for the hydrogen atom. The series that represents the Balmer series is