Q: Which of the following best describes the relationship between the wavelength ($$\lambda) $$and frequency ($$\nu) of $$electromagnetic radiation?

As $$\lambda$$ increases, $$\nu$$ decreases.

Q: A sodium vapor lamp emits yellow light with a wavelength of $$589\ \mathrm{nm}. $$What is the frequency ($$\nu) of $$this radiation? (Speed of light $$c = 2.99 \times 10^8$\ \mathrm{m/s})$$

$$5.09 \times 10$$^{14}$$\ \mathrm{Hz}$$

Q: What is the energy of a photon with a frequency of $$8.25 \times 10$$^{12}$$\ \mathrm{s}^{-1}$$? (Planck’s constant $$h = 6.626 \times 10$$^{-34}$$\ \mathrm{J\cdot s})$$

$$5.47 \times 10$$^{-21}$$\ \mathrm{J}$$

Q: A microwave oven operates at a frequency of $$2.45 \times 10^9$\ \mathrm{Hz}. $$What is the wavelength ($$\lambda) of $$this radiation? ($$c = 2.99 \times 10^8$\ \mathrm{m/s})$$

$$1.22 \times 10$$^{-1}$$\ \mathrm{m}$$

Q: What is the wavelength (in nm) of radiation with a frequency of $$6.20 \times 10$$^{12}$$\ \mathrm{s}^{-1}$$? ($$c = 2.99 \times 10^8$\ \mathrm{m/s})$$

$$4.82 \times 10^4$\ \mathrm{nm}$$

Question 1

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

Accepted Answer

As $$\lambda$$ increases, $$
u$$ decreases.

Question 2

A sodium vapor lamp emits yellow light with a wavelength of $$589\ \mathrm{nm}. $$What is the frequency ($$
u) of $$this radiation? (Speed of light $$c = 2.99 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$5.09 	imes 10$$^{14}$$\ \mathrm{Hz}$$

Question 3

Which of the following quantum numbers describes the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number ($$\ell)$$

Question 4

What is the energy of a photon with a frequency of $$8.25 	imes 10$$^{12}$$\ \mathrm{s}^{-1}$$? (Planck’s constant $$h = 6.626 	imes 10$$^{-34}$$\ \mathrm{J\cdot s})$$

Accepted Answer

$$5.47 	imes 10$$^{-21}$$\ \mathrm{J}$$

Question 5

Which of the following sets of quantum numbers is NOT allowed?

Accepted Answer

$$n = 3,\ \ell = 2,\ m_\ell = +1,\ m_s = +1$$

Question 6

A microwave oven operates at a frequency of $$2.45 	imes 10^9$\ \mathrm{Hz}. $$What is the wavelength ($$\lambda) of $$this radiation? ($$c = 2.99 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$1.22 	imes 10$$^{-1}$$\ \mathrm{m}$$

Question 7

Which of the following statements about the photoelectric effect is correct?

Accepted Answer

Electrons are emitted from a metal surface only if the light has a high enough frequency.

Question 8

How many orbitals are present in the $$n = 3$$ shell?

Accepted Answer

9

Question 9

Which type of orbital is designated by $$n = 4,\ \ell = 2,\ m_\ell = +1$$?

Accepted Answer

4d

Question 10

What is the maximum number of electrons that can occupy a $$d$$ sublevel?

Accepted Answer

10

Question 11

Which of the following electromagnetic radiations has the highest energy?

Accepted Answer

Gamma rays

Question 12

If an electron in an atom has quantum numbers $$n = 3,\ \ell = 2,\ m_\ell = -1$$, how many electrons can have these three quantum numbers?

Accepted Answer

2

Question 13

Which of the following orbitals cannot exist?

Accepted Answer

3f

Question 14

What is the wavelength (in nm) of radiation with a frequency of $$6.20 	imes 10$$^{12}$$\ \mathrm{s}^{-1}$$? ($$c = 2.99 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$4.82 	imes 10^4$\ \mathrm{nm}$$

Question 15

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

Accepted Answer

Magnetic quantum number ($$m_\ell)$$

Question 16

A laser used in eye surgery emits light with a frequency of $$4.69 	imes 10$$^{14}$$\ \mathrm{s}^{-1}. $$What is the wavelength of this radiation in nm? ($$c = 2.99 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$640\ \mathrm{nm}$$

Question 17

Which of the following best explains why electrons in the same orbital must have opposite spins?

Accepted Answer

To satisfy the Pauli exclusion principle

Question 18

How many values of $$m_\ell$$ are possible for $$\ell = 3$$?

Accepted Answer

7

Question 19

Which of the following is a valid set of quantum numbers for a 4f electron?

Accepted Answer

$$n = 4,\ \ell = 3,\ m_\ell = +2,\ m_s = +1/2$$

Electronic Structure of Atoms and Quantum Numbers: Chemistry Foundations for Biology

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