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

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

Q: Calculate the energy of a single photon with a wavelength of $$525\ \mathrm{nm}$$. ($$h = 6.626 \times 10$$^{-34}$$\ \mathrm{J \cdot s}$$, $$c = 3.00 \times 10^8$\ \mathrm{m/s})$$

$$3.79 \times 10$$^{-19}$$\ \mathrm{J}$$

Question 1

Which of the following best describes the relationship between wavelength ($$\lambda) $$and frequency ($$
u) $$for electromagnetic radiation?

Accepted Answer

They are inversely proportional; as wavelength increases, frequency decreases.

Question 2

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

Accepted Answer

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

Question 3

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number ($$l)$$

Question 4

The photoelectric effect provided evidence for which property of light?

Accepted Answer

Light exhibits both wave-like and particle-like properties.

Question 5

Calculate the energy of a single photon with a wavelength of $$525\ \mathrm{nm}$$. ($$h = 6.626 	imes 10$$^{-34}$$\ \mathrm{J \cdot s}$$, $$c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$3.79 	imes 10$$^{-19}$$\ \mathrm{J}$$

Question 6

Which of the following statements about the Bohr model of the atom is correct?

Accepted Answer

Electrons emit or absorb energy only when transitioning between discrete energy levels.

Question 7

Which orbital is spherically symmetric around the nucleus?

Accepted Answer

$$s$$ orbital

Question 8

According to de Broglie’s relation, what happens to the wavelength of a particle as its velocity increases?

Accepted Answer

The wavelength decreases.

Question 9

Which quantum number describes the orientation of an orbital in space?

Accepted Answer

Magnetic quantum number ($$m_l)$$

Question 10

A sodium lamp emits yellow light with a frequency of $$5.09 	imes 10$$^{14}$$\ \mathrm{Hz}. $$What is the wavelength of this light in nanometers? ($$c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$589\ \mathrm{nm}$$

Question 11

Which of the following best explains why each element has a unique atomic emission spectrum?

Accepted Answer

Each element has a unique arrangement of electrons and energy levels.

Question 12

Which of the following is a correct set of quantum numbers for a $$3p$$ orbital?

Accepted Answer

$$n = 3,\ l = 1,\ m_l = 0$$

Question 13

Which of the following statements about the Heisenberg Uncertainty Principle is correct?

Accepted Answer

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

Question 14

Which of the following transitions in a hydrogen atom would emit the highest energy photon?

Accepted Answer

$$n = 2 \rightarrow n = 1$$

Question 15

How many $$d$$ orbitals are present in a single energy level?

Accepted Answer

5

Question 16

Which property of light determines its color as perceived by the human eye?

Accepted Answer

Wavelength

Question 17

A photon has an energy of $$4.00 	imes 10$$^{-19}$$\ \mathrm{J}. $$What is its wavelength? ($$h = 6.626 	imes 10$$^{-34}$$\ \mathrm{J \cdot s}$$, $$c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$497\ \mathrm{nm}$$

Question 18

Which of the following best describes constructive interference?

Accepted Answer

Two waves overlap and their amplitudes add together, resulting in a larger amplitude.

Question 19

Which quantum number is associated with the orientation of the electron’s spin?

Accepted Answer

Spin quantum number ($$m_s)$$

Quantum Mechanics and the Atomic Model: Study Notes for General Chemistry

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