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

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

Q: Calculate the de Broglie wavelength of an electron (mass $$9.11 \times 10$$^{-31}$$\ \mathrm{kg}) $$moving at $$2.00 \times 10^6$\ \mathrm{m/s}$$. ($$h = 6.626 \times 10$$^{-34}$$\ \mathrm{J\cdot s})$$

$$3.63 \times 10$$^{-10}$$\ \mathrm{m}$$

Question 1

Which of the following statements best describes the wave–particle duality of the electron?

Accepted Answer

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

Question 2

Which equation correctly relates the energy of a photon to its wavelength?

Accepted Answer

$$E = \dfrac{hc}{\lambda}$$

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

X-ray

Question 5

According to the photoelectric effect, what happens when light of frequency below the threshold frequency shines on a metal surface?

Accepted Answer

No electrons are emitted, regardless of the light's intensity.

Question 6

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number, $$l$$

Question 7

How many orbitals are present in the $$n = 3$$ principal energy level?

Accepted Answer

9

Question 8

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

Accepted Answer

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

Question 9

Calculate the de Broglie wavelength of an electron (mass $$9.11 	imes 10$$^{-31}$$\ \mathrm{kg}) $$moving at $$2.00 	imes 10^6$\ \mathrm{m/s}$$. ($$h = 6.626 	imes 10$$^{-34}$$\ \mathrm{J\cdot s})$$

Accepted Answer

$$3.63 	imes 10$$^{-10}$$\ \mathrm{m}$$

Question 10

Which statement best summarizes Heisenberg’s uncertainty principle?

Accepted Answer

Either the position or the velocity of an electron can be known exactly, but not both simultaneously.

Question 11

Which of the following best explains why we do not observe quantum effects, such as wave properties, for macroscopic objects like baseballs?

Accepted Answer

The de Broglie wavelength for macroscopic objects is extremely small compared to their size.

Question 12

Which of the following is true about the emission spectrum of hydrogen?

Accepted Answer

It consists of a few discrete lines, each corresponding to a specific electron transition.

Question 13

How many possible values of the magnetic quantum number $$m_l$$ are there for $$l = 2$$?

Accepted Answer

5

Question 14

Which of the following statements about atomic orbitals is correct?

Accepted Answer

d orbitals have mainly four-lobed shapes.

Question 15

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

$$2.64 	imes 10$$^{21}$$

Question 16

Which quantum numbers are needed to uniquely describe an electron in an atom?

Accepted Answer

$$n$$, $$l$$, $$m_l$$, and $$m_s$$

Question 17

Which of the following best describes the relationship between wavelength and frequency for electromagnetic waves?

Accepted Answer

They are inversely proportional.

Question 18

Which value(s) of $$l$$ are possible for $$n = 4$$?

Accepted Answer

0, 1, 2, and 3

Question 19

When 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

Quantum Mechanics and Atomic Structure: Study Notes for General Chemistry

Guida di studio - Domande di pratica

Study guide - Flashcard