Q: A microwave oven emits radiation with a frequency of $$2.45 \times 10$$^{9}$$\ \mathrm{Hz}. $$What is the wavelength of this radiation in meters? (Speed of light $$c = 3.00 \times 10^8$\ \mathrm{m/s})$$

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

Q: An electron in a hydrogen atom transitions from $$n=3 to$$ $$n=2. $$Using Bohr's model, which equation gives the energy change for this transition?

$$\Delta E = -2.18 \times 10$$^{-18}$$ \left( \frac{1}{n_f^2$} - \frac{1}{n_i^2$} \right)\ \mathrm{J}$$

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

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

Q: A photon has a wavelength of $$400\ \mathrm{nm}. $$What is its energy? ($$h = 6.626 \times 10$$^{-34}$$\ \mathrm{J \cdot s}$$, $$c = 3.00 \times 10^8$\ \mathrm{m/s})$$

$$4.97 \times 10$$^{-19}$$\ \mathrm{J}$$

Question 1

Which of the following statements best describes the dual nature of light as demonstrated by the photoelectric effect and Young's double-slit experiment?

Accepted Answer

Light exhibits both wave and particle properties depending on the experiment.

Question 2

A microwave oven emits radiation with a frequency of $$2.45 	imes 10$$^{9}$$\ \mathrm{Hz}. $$What is the wavelength of this radiation in meters? (Speed of light $$c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

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

Question 3

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

Accepted Answer

$$E = h 
u$$

Question 4

An electron in a hydrogen atom transitions from $$n=3 to$$ $$n=2. $$Using Bohr's model, which equation gives the energy change for this transition?

Accepted Answer

$$\Delta E = -2.18 	imes 10$$^{-18}$$ \left( \frac{1}{n_f^2$} - \frac{1}{n_i^2$} ight)\ \mathrm{J}$$

Question 5

Which quantum number determines the shape of an orbital?

Accepted Answer

Angular momentum quantum number ($$l)$$

Question 6

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 7

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

Accepted Answer

To satisfy the Pauli exclusion principle, which states no two electrons in an atom can have the same set of quantum numbers.

Question 8

Which experiment provides evidence for the wave nature of light?

Accepted Answer

Young's double-slit experiment

Question 9

If the frequency of light is doubled, what happens to the energy of each photon?

Accepted Answer

It doubles

Question 10

Which of the following is NOT a possible value for the magnetic quantum number $$m_l if$$ $$l = 2$$?

Accepted Answer

$$m_l = 3$$

Question 11

A photon has a wavelength of $$400\ \mathrm{nm}. $$What is its energy? ($$h = 6.626 	imes 10$$^{-34}$$\ \mathrm{J \cdot s}$$, $$c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$4.97 	imes 10$$^{-19}$$\ \mathrm{J}$$

Question 12

Which statement about $$p$$ orbitals is correct?

Accepted Answer

They have a dumbbell shape and are oriented along the $$x$$, $$y$$, and $$z$$ axes.

Question 13

Which formula is used to calculate the wavelength of light emitted during an electron transition in hydrogen?

Accepted Answer

$$\frac{1}{\lambda} = R \left( \frac{1}{n_1$^2} - \frac{1}{n_2$^2} \right)$$

Question 14

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

Accepted Answer

Magnetic quantum number ($$m_l)$$

Question 15

What is the uncertainty principle as it applies to electrons?

Accepted Answer

It is impossible to simultaneously know both the exact position and momentum of an electron.

Question 16

Which of the following best describes the difference between $$s$$ and $$p$$ orbitals?

Accepted Answer

$$s$$ orbitals are spherical, while $$p$$ orbitals are dumbbell-shaped.

Question 17

A photon with a wavelength of $$700\ \mathrm{nm}$$ strikes a metal surface. If the work function of the metal is $$2.1 	imes 10$$^{-19}$$\ \mathrm{J}$$, will electrons be ejected from the surface?

Accepted Answer

No, because the photon energy is less than the work function.

Question 18

Which quantum number is responsible for determining the number of orbitals in a subshell?

Accepted Answer

Magnetic quantum number ($$m_l)$$

Question 19

What is the energy of an electron in the $$n=2$$ level of a hydrogen atom? ($$E_n = -2.18 	imes 10$$^{-18}$$ \frac{1}{n^2$}\ \mathrm{J})$$

Accepted Answer

$$-5.45 	imes 10$$^{-19}$$\ \mathrm{J}$$

Quantum-Mechanical Model of the Atom and Light-Matter Interactions (Ch.8 & Ch.6 Study Notes)

Guida di studio - Domande di pratica

Study guide - Flashcard