Q: What is the energy of a photon with a wavelength of 589 nm? ($$h = 6.626 \times 10$$^{-34}$$\ \text{J}\cdot\text{s}$$, $$c = 3.00 \times 10^8$\ \text{m/s})$$

$$E = 3.37 \times 10$$^{-19}$$\ \text{J}$$

Q: According to the de Broglie equation, what is the wavelength of an electron ($$m = 9.11 \times 10$$^{-31}$$\ \text{kg}) $$moving at $$2.0 \times 10^6$\ \text{m/s}$$?

$$\lambda = 3.63 \times 10$$^{-10}$$\ \text{m}$$

Q: What is the frequency in Hz of a photon with a wavelength of 589 nm?

$$\nu = 5.09 \times 10$$^{14}$$\ \text{Hz}$$

Q: What is the uncertainty in position ($$\Delta x) $$for an electron ($$m = 9.11 \times 10$$^{-31}$$\ \text{kg}) if $$its speed is known to within $$\pm 2.0 \times 10^6$\ \text{m/s}$$? ($$h = 6.626 \times 10$$^{-34}$$\ \text{J}\cdot\text{s})$$

$$\Delta x \u003e 2.9 \times 10$$^{-11}$$\ \text{m}$$

Question 1

Which statement best describes the difference between a scientific law and a scientific theory?

Accepted Answer

A law is a mathematical relationship observed in nature, while a theory is a well-supported explanation of why those relationships exist.

Question 2

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number, $$l$$

Question 3

A hydrogen atom emits light with a wavelength of 2620 nm as part of the Brackett series ($$n_f = 4). $$What is the initial value of $$n$$ for this transition?

Accepted Answer

$$n_i = 5$$

Question 4

Which of the following sets of quantum numbers is valid for an electron in an atom?

Accepted Answer

$$(2, 1, 0, +\frac{1}{2})$$

Question 5

What is the energy of a photon with a wavelength of 589 nm? ($$h = 6.626 	imes 10$$^{-34}$$\ 	ext{J}\cdot	ext{s}$$, $$c = 3.00 	imes 10^8$\ 	ext{m/s})$$

Accepted Answer

$$E = 3.37 	imes 10$$^{-19}$$\ 	ext{J}$$

Question 6

According to the de Broglie equation, what is the wavelength of an electron ($$m = 9.11 	imes 10$$^{-31}$$\ 	ext{kg}) $$moving at $$2.0 	imes 10^6$\ 	ext{m/s}$$?

Accepted Answer

$$\lambda = 3.63 	imes 10$$^{-10}$$\ 	ext{m}$$

Question 7

Which rule states that no two electrons in the same atom can have identical sets of quantum numbers?

Accepted Answer

Pauli exclusion principle

Question 8

What is the frequency in Hz of a photon with a wavelength of 589 nm?

Accepted Answer

$$
u = 5.09 	imes 10$$^{14}$$\ 	ext{Hz}$$

Question 9

Which part of the electromagnetic spectrum has the highest energy emissions for hydrogen atom transitions?

Accepted Answer

Ultraviolet (Lyman series)

Question 10

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

Accepted Answer

Magnetic quantum number, $$m_l$$

Question 11

How many unpaired electrons are present in a phosphorus atom ($$Z = 15$$)?

Accepted Answer

3

Question 12

Which principle states that the lowest energy is attained when the number of electrons with the same spin is maximized in degenerate orbitals?

Accepted Answer

Hund's rule

Question 13

What is the uncertainty in position ($$\Delta x) $$for an electron ($$m = 9.11 	imes 10$$^{-31}$$\ 	ext{kg}) if $$its speed is known to within $$\pm 2.0 	imes 10^6$\ 	ext{m/s}$$? ($$h = 6.626 	imes 10$$^{-34}$$\ 	ext{J}\cdot	ext{s})$$

Accepted Answer

$$\Delta x \u003e 2.9 	imes 10$$^{-11}$$\ 	ext{m}$$

Question 14

Which electron configuration represents the ground state of phosphorus ($$Z = 15$$)?

Accepted Answer

$$1s^2$$\ $$2s^2$$\ $$2p^6$$\ $$3s^2$$\ $$3p^3$$

Question 15

Which scientist proposed that matter in motion can be treated as waves, leading to the concept of wave-particle duality?

Accepted Answer

Louis de Broglie

Question 16

What is the maximum number of electrons that can occupy a single orbital?

Accepted Answer

2

Question 17

Which of the following elements is an exception to the standard electron filling order due to its electron configuration?

Accepted Answer

Chromium ($$Z = 24)$$

Question 18

Which quantum number is responsible for the 'address' of an electron's shell in an atom?

Accepted Answer

Principal quantum number, $$n$$

Question 19

What is the main difference between the Bohr model and the quantum mechanical model of the atom?

Accepted Answer

The Bohr model treats electrons as particles in fixed orbits, while the quantum model treats electrons as waves with probabilistic locations.

Quantum-Mechanical Model of the Atom and the Nature of Light

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