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

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

Q: A sodium lamp emits yellow light with a wavelength of $$589\ \mathrm{nm}. $$Calculate the energy of a single photon of this light. $$(h = 6.626 \times 10$$^{-34}$$\ \mathrm{J\cdot s},\ c = 3.00 \times 10^8$\ \mathrm{m/s})$$

$$3.38 \times 10$$^{-19}$$\ \mathrm{J}$$

Question 1

Which of the following statements best describes the concept of wave–particle duality as it applies to electrons?

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

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

Accepted Answer

Gamma rays

Question 4

A sodium lamp emits yellow light with a wavelength of $$589\ \mathrm{nm}. $$Calculate the energy of a single photon of this light. $$(h = 6.626 	imes 10$$^{-34}$$\ \mathrm{J\cdot s},\ c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$3.38 	imes 10$$^{-19}$$\ \mathrm{J}$$

Question 5

Which experiment provided direct evidence for the wave nature of electrons?

Accepted Answer

The two-slit interference experiment with electrons

Question 6

According to the quantum mechanical model, what does the principal quantum number $$n$$ primarily determine?

Accepted Answer

The energy and size of the orbital

Question 7

Which of the following sets of quantum numbers is NOT allowed for an electron in an atom?

Accepted Answer

$$n = 2,\ l = 2,\ m_l = 0,\ m_s = +\frac{1}{2}$$

Question 8

A hydrogen atom electron transitions from $$n = 4 to$$ $$n = 2. $$Which of the following statements is true?

Accepted Answer

The atom emits a photon and the electron loses energy.

Question 9

Calculate the wavelength (in nm) of light emitted when an electron in a hydrogen atom transitions from $$n = 5 to$$ $$n = 2. $$Use $$E = -2.18 	imes 10$$^{-18}$$\ \mathrm{J}\left(\frac{1}{n_f^2$} - \frac{1}{n_i^2$}ight)$$ and $$E = \frac{hc}{\lambda}.$$

Accepted Answer

$$434\ \mathrm{nm}$$

Question 10

Which quantum number determines the number of orbitals in a given sublevel?

Accepted Answer

Magnetic quantum number $$m_l$$

Question 11

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

Accepted Answer

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

Question 12

Which of the following best explains why ultraviolet light can cause sunburn but visible light cannot?

Accepted Answer

Ultraviolet light has a shorter wavelength and higher energy per photon than visible light.

Question 13

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

Accepted Answer

The more precisely the position of an electron is known, the less precisely its velocity is known.

Question 14

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

Accepted Answer

Each element has a unique line spectrum because electrons occupy quantized energy levels.

Question 15

Which of the following is the correct order of increasing wavelength for the following types of electromagnetic radiation: visible, X-rays, infrared?

Accepted Answer

X-rays \u003c visible \u003c infrared

Question 16

What is the de Broglie wavelength of an electron (mass $$9.11 	imes 10$$^{-31}$$\ \mathrm{kg}) $$moving at $$2.65 	imes 10^6$\ \mathrm{m/s}$$? $$(h = 6.626 	imes 10$$^{-34}$$\ \mathrm{J\cdot s})$$

Accepted Answer

$$2.74 	imes 10$$^{-10}$$\ \mathrm{m}$$

Question 17

Which quantum number(s) must be the same for two electrons to occupy the same orbital?

Accepted Answer

n, l, and m_l

Question 18

How many orbitals are present in the $$n = 4$$ principal energy level?

Accepted Answer

16

Question 19

Which of the following best describes the shape of a $$p$$ orbital?

Accepted Answer

Dumbbell-shaped (two lobes)

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

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