Question 1

How many of the infinite number of Balmer spectrum lines are in the visible spectrum range?

Accepted Answer

The Balmer series of the hydrogen spectrum includes several lines, but only 4 of these are in the visible spectrum range: H-alpha, H-beta, H-gamma, and H-delta.

Question 2

The word LASER is an acronym for

Accepted Answer

The term LASER stands for Light Amplification by the Stimulated Emission of Radiation, which describes the mechanism by which lasers produce a coherent beam of light.

Question 3

In a He-Ne laser, the actual emission line at 632.8 nm comes from a jump down in what atom(s)?

Accepted Answer

The actual emission line at 632.8 nm in a He-Ne laser comes from a transition in neon atoms. Helium atoms in the laser serve to excite neon atoms to higher energy states, but the light emission is due to neon's electron transitions.

Question 4

The compact disc stores information by means of

Accepted Answer

Compact discs store information using a series of tiny indents known as pits and flat areas known as lands. These pits and lands represent the digital data of the disc, which is read by a laser beam in a CD player.

Question 5

When a hologram is illuminated with a beam of coherent light, it produces

Accepted Answer

Holograms are capable of producing both real and virtual images when illuminated with coherent light, allowing for a three-dimensional representation of the recorded object.

Question 6

The human eye can just detect green light of wavelength 500. nm, which arrives at the retina at the rate of 2 × 10^-18 W. How many photons arrive each second?

Accepted Answer

The answer of The human eye can just detect green...

Question 7

The graph shown in Figure 27-1 is a plot based on student data from their testing of a
photoelectric material.

(a) Determine the cutoff frequency.
(b) Determine the work function.

Accepted Answer

The answer of The graph shown in Figure 27-1 is...

Question 8

What is the radius of the electron orbit in a singly ionized helium ion?

Accepted Answer

The answer of What is the radius of the electron...

Question 9

What is the ionization energy for a doubly ionized lithium ion (Z = 3)?

Accepted Answer

The answer of What is the ionization energy for a...

Question 10

What is the energy, in eV, of the n = 3 state in hydrogen?

Accepted Answer

The answer of What is the energy, in eV, of...

Question 11

Bohr's atomic theory predicted energy levels for hydrogen of E_n = -(2 π²k²e⁴m) about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the E_n formula and why?

Accepted Answer

The answer of Bohr's atomic theory predicted energy levels for...

Question 12

If sunlight peaks at 0.55 ?m wavelength, this infers a surface temperature of the sun of how many thousand degrees Kelvin?

Accepted Answer

The correct answer is determined by using Wien's displacement law, which states that the wavelength at which the emission of a black body spectrum is maximized is inversely proportional to the temperature of the black body. The formula for Wien's displacement law is $\lambda_{max} = \frac{b}{T}$, where $\lambda_{max}$ is the peak wavelength in meters, $T$ is the temperature in Kelvin, and $b$ is Wien's displacement constant, approximately equal to $2.897 \times 10^{-3} m \cdot K$. Rearranging the formula to solve for $T$, we get $T = \frac{b}{\lambda_{max}}$. Substituting $\lambda_{max} = 0.55 \times 10^{-6} m$ (or 0.55 micrometers) and $b = 2.897 \times 10^{-3} m \cdot K$, we find $T \approx 5273 K$, which is approximately 5.3 thousand degrees Kelvin.

Question 13

How much energy is carried by a photon of wavelength 660. nm?

Accepted Answer

The energy of a photon is calculated using the formula E = hc/λ, where h is Planck's constant (6.626 × 10^-34 J·s), c is the speed of light (3.00 × 10^8 m/s), and λ is the wavelength in meters. Converting 660 nm to meters (660 × 10^-9 m) and substituting the values, the energy is approximately 3.01 × 10^-19 J.

Question 14

What change in wavelength is expected when X-rays are scattered at 90°?

Accepted Answer

The change in wavelength for X-rays scattered at 90° is given by the Compton wavelength shift formula: Δλ = h/(m_ec) * (1 - cos(θ)), where θ = 90°. This results in Δλ = 2.42 × 10^-3 nm.

Question 15

The energy required to ionize a hydrogen atom from the ground state is

Accepted Answer

The energy required to ionize a hydrogen atom from the ground state is 13.6 eV. This is the energy needed to remove the electron from its lowest energy level (n=1) to infinity (completely removing the electron from the atom).

Question 16

Consider an atom with four accessible energy levels. What is the maximum number of different wavelengths that could be emitted by such an atom?

Accepted Answer

An atom with four accessible energy levels can emit a maximum of six different wavelengths. This is because an electron can transition from any of the four higher energy levels to any of the three lower energy levels, resulting in six possible transitions and six different wavelengths of light emitted.

Question 17

In state n = 1, the energy of the hydrogen atom is -13.58 eV. What is its energy in state n = 2?

Accepted Answer

The energy levels of a hydrogen atom are given by the formula E_n = -13.58 eV / n^2. For n = 2, E_2 = -13.58 eV / 2^2 = -13.58 eV / 4 = -3.40 eV.

Question 18

What is the ionization energy of singly ionized helium?

Accepted Answer

The ionization energy of singly ionized helium (He+) is 54.4 eV. This is because the ionization energy for a hydrogen-like atom (which He+ effectively is, with one electron) can be calculated using the formula E = 13.6 Z^2 / n^2 eV, where Z is the atomic number (2 for helium) and n is the principal quantum number (1 for the ground state). Substituting these values gives E = 13.6 * 2^2 / 1^2 = 54.4 eV.

Quiz 27: Quantum Physics

How many of the infinite number of Balmer spectrum lines are in the visible spectrum range?

The word LASER is an acronym for

In a He-Ne laser, the actual emission line at 632.8 nm comes from a jump down in what atom(s) ?

The compact disc stores information by means of

When a hologram is illuminated with a beam of coherent light, it produces

The human eye can just detect green light of wavelength 500. nm, which arrives at the retina at the rate of 2 × 10^-18 W. How many photons arrive each second?

The graph shown in Figure 27-1 is a plot based on student data from their testing of a photoelectric material. (a) Determine the cutoff frequency. (b) Determine the work function.

What is the radius of the electron orbit in a singly ionized helium ion?

What is the ionization energy for a doubly ionized lithium ion (Z = 3)?

What is the energy, in eV, of the n = 3 state in hydrogen?

Bohr's atomic theory predicted energy levels for hydrogen of E_n = -(2 π²k²e⁴m) about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the E_n formula and why?

If sunlight peaks at 0.55 ?m wavelength, this infers a surface temperature of the sun of how many thousand degrees Kelvin?

How much energy is carried by a photon of wavelength 660. nm?

What change in wavelength is expected when X-rays are scattered at 90°?

The energy required to ionize a hydrogen atom from the ground state is

Consider an atom with four accessible energy levels. What is the maximum number of different wavelengths that could be emitted by such an atom?

In state n = 1, the energy of the hydrogen atom is -13.58 eV. What is its energy in state n = 2?

What is the ionization energy of singly ionized helium?

Quiz 27: Quantum Physics

How many of the infinite number of Balmer spectrum lines are in the visible spectrum range?

The word LASER is an acronym for

In a He-Ne laser, the actual emission line at 632.8 nm comes from a jump down in what atom(s) ?

The compact disc stores information by means of

When a hologram is illuminated with a beam of coherent light, it produces

The human eye can just detect green light of wavelength 500. nm, which arrives at the retina at the rate of 2 × 10-18 W. How many photons arrive each second?

The graph shown in Figure 27-1 is a plot based on student data from their testing of a photoelectric material. (a) Determine the cutoff frequency. (b) Determine the work function.

What is the radius of the electron orbit in a singly ionized helium ion?

What is the ionization energy for a doubly ionized lithium ion (Z = 3)?

What is the energy, in eV, of the n = 3 state in hydrogen?

Bohr's atomic theory predicted energy levels for hydrogen of En = -(2 π2k2e4m) about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the En formula and why?

If sunlight peaks at 0.55 ?m wavelength, this infers a surface temperature of the sun of how many thousand degrees Kelvin?

How much energy is carried by a photon of wavelength 660. nm?

What change in wavelength is expected when X-rays are scattered at 90°?

The energy required to ionize a hydrogen atom from the ground state is

Consider an atom with four accessible energy levels. What is the maximum number of different wavelengths that could be emitted by such an atom?

In state n = 1, the energy of the hydrogen atom is -13.58 eV. What is its energy in state n = 2?

What is the ionization energy of singly ionized helium?

The human eye can just detect green light of wavelength 500. nm, which arrives at the retina at the rate of 2 × 10^-18 W. How many photons arrive each second?

Bohr's atomic theory predicted energy levels for hydrogen of E_n = -(2 π²k²e⁴m) about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the E_n formula and why?