Q: A green laser pointer emits light with a wavelength of $$515\ \text{nm}. $$What is the frequency of this light? (Speed of light $$c = 3.00 \times 10^8$\ \text{m/s})$$

$$5.83 \times 10$$^{14}$$\ \text{Hz}$$

Q: What is the energy of a single photon with a wavelength of $$337\ \text{nm}$$? ($$h = 6.626 \times 10$$^{-34}$$\ \text{J}\cdot\text{s}$$, $$c = 3.00 \times 10^8$\ \text{m/s})$$

$$5.90 \times 10$$^{-19}$$\ \text{J}$$

Q: What is the relationship between the wavelength ($$\lambda) $$and frequency ($$\nu) of $$electromagnetic radiation?

$$\lambda$$ and $$\nu$$ are inversely proportional.

Question 1

Which of the following statements best describes the wave–particle duality of the electron as revealed by quantum mechanics?

Accepted Answer

Electrons exhibit both particle-like and wave-like properties depending on the experimental conditions.

Question 2

A green laser pointer emits light with a wavelength of $$515\ 	ext{nm}. $$What is the frequency of this light? (Speed of light $$c = 3.00 	imes 10^8$\ 	ext{m/s})$$

Accepted Answer

$$5.83 	imes 10$$^{14}$$\ 	ext{Hz}$$

Question 3

Which of the following types of electromagnetic radiation has the highest energy per photon?

Accepted Answer

X-rays

Question 4

A 100-watt light bulb emits light at a wavelength of $$525\ 	ext{nm}. $$How many photons are emitted per second? (Planck’s constant $$h = 6.626 	imes 10$$^{-34}$$\ 	ext{J}\cdot	ext{s}$$, $$c = 3.00 	imes 10^8$\ 	ext{m/s})$$

Accepted Answer

$$2.64 	imes 10$$^{20}$$

Question 5

Which phenomenon demonstrates that electrons have wave-like properties?

Accepted Answer

Electron diffraction

Question 6

According to the Heisenberg uncertainty principle, which of the following is true?

Accepted Answer

The more precisely we know an electron’s position, the less precisely we can know its velocity.

Question 7

Which transition in a hydrogen atom emits light with the shortest wavelength?

Accepted Answer

$$n = 3 \rightarrow n = 2$$

Question 8

What is the energy of a single photon with a wavelength of $$337\ 	ext{nm}$$? ($$h = 6.626 	imes 10$$^{-34}$$\ 	ext{J}\cdot	ext{s}$$, $$c = 3.00 	imes 10^8$\ 	ext{m/s})$$

Accepted Answer

$$5.90 	imes 10$$^{-19}$$\ 	ext{J}$$

Question 9

Which quantum numbers describe a 4d orbital?

Accepted Answer

$$n = 4,\ l = 2$$

Question 10

Which of the following best explains why we do not observe quantum mechanical wave properties for a baseball?

Accepted Answer

Because of the baseball’s large mass, its de Broglie wavelength is minuscule and insignificant compared to its size.

Question 11

Which of the following statements about atomic emission spectra is correct?

Accepted Answer

Each element has a unique line spectrum because electrons transition between specific energy levels.

Question 12

What is the relationship between the wavelength ($$\lambda) $$and frequency ($$
u) of $$electromagnetic radiation?

Accepted Answer

$$\lambda$$ and $$
u$$ are inversely proportional.

Question 13

Which quantum numbers are possible for an electron in a 5d orbital?

Accepted Answer

$$n = 5,\ l = 2,\ m_l = -2, -1, 0, 1, 2$$

Question 14

A sodium metal surface requires $$275\ 	ext{kJ/mol} to $$dislodge electrons via the photoelectric effect. What is the minimum wavelength of light (in nm) that can cause electron emission? ($$h = 6.626 	imes 10$$^{-34}$$\ 	ext{J}\cdot	ext{s}$$, $$c = 3.00 	imes 10^8$\ 	ext{m/s}$$, $$1\ 	ext{mol} = 6.022 	imes 10$$^{23}$$)

Accepted Answer

$$435\ 	ext{nm}$$

Question 15

Which of the following best describes the difference between constructive and destructive interference?

Accepted Answer

Constructive interference occurs when waves are in phase and add together, while destructive interference occurs when waves are out of phase and cancel each other.

Question 16

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number ($$l)$$

Question 17

If an electron in a hydrogen atom transitions from $$n = 6 to$$ $$n = 5$$, what region of the electromagnetic spectrum does the emitted photon most likely belong to?

Accepted Answer

Infrared

Question 18

Which of the following is a correct statement about the principal quantum number $$n$$?

Accepted Answer

It determines the energy and size of the orbital.

Question 19

Which of the following best describes the emission of light from atoms in fireworks?

Accepted Answer

Atoms absorb energy, electrons move to higher energy levels, and when they return to lower levels, photons are emitted.

The Quantum-Mechanical Model of the Atom: Structure, Light, and Electron Behavior

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