Q: A photon has a wavelength of $$500\ \text{nm}. $$What is its energy in joules? $$(h = 6.626 \times 10$$^{-34}$$\ \text{J} \cdot \text{s},\ c = 3.00 \times 10^8$\ \text{m/s})$$

$$3.98 \times 10$$^{-19}$$\ \text{J}$$

Q: Which equation describes the energy of an electron in the $$nth $$energy level of a hydrogen atom?

$$E = -2.18 \times 10$$^{-18}$$\ \text{J} \left( \dfrac{1}{n^2$} \right)$$

Q: What is the wavelength of a 10.0 g bullet fired at $$250\ \text{m/s}$$ according to the de Broglie relation? $$(h = 6.626 \times 10$$^{-34}$$\ \text{J} \cdot \text{s})$$

$$2.65 \times 10$$^{-36}$$\ \text{m}$$

Q: What is the energy difference $$(\Delta E)$$ for an electron transition in a hydrogen atom from $$n=4 to$$ $$n=2$$?

$$\Delta E = -2.18 \times 10$$^{-18}$$\ \text{J} \left( \dfrac{1}{2^2$} - \dfrac{1}{4^2$} \right)$$

Question 1

Which phenomenon best demonstrates the wave-particle duality of light?

Accepted Answer

The diffraction pattern observed in Young's double slit experiment

Question 2

What is the relationship between the frequency $$(
u)$$ and wavelength $$(\lambda) of $$electromagnetic radiation traveling in a vacuum?

Accepted Answer

$$
u = c / \lambda$$

Question 3

Which statement about blackbody radiation is NOT explained by classical electromagnetic theory?

Accepted Answer

Radiation is emitted in discrete packets called quanta

Question 4

According to Einstein's explanation of the photoelectric effect, what determines whether an electron is ejected from a metal surface?

Accepted Answer

The frequency of the incident light

Question 5

A photon has a wavelength of $$500\ 	ext{nm}. $$What is its energy in joules? $$(h = 6.626 	imes 10$$^{-34}$$\ 	ext{J} \cdot 	ext{s},\ c = 3.00 	imes 10^8$\ 	ext{m/s})$$

Accepted Answer

$$3.98 	imes 10$$^{-19}$$\ 	ext{J}$$

Question 6

Which transition in the hydrogen atom emits a photon with the highest energy?

Accepted Answer

From $$n=2 to$$ $$n=1$$

Question 7

What is the correct order of photons in terms of decreasing energy for IR $$(
u = 6.5 	imes 10$$^{13}$$\ 	ext{s}^{-1})$$, Microwave $$(
u = 9.8 	imes 10$$^{11}$$\ 	ext{s}^{-1})$$, and UV $$(
u = 8.0 	imes 10$$^{15}$$\ 	ext{s}^{-1})$$?

Accepted Answer

UV \u003e microwave \u003e IR

Question 8

Which color photon has the highest energy: Blue $$(\lambda = 453\ 	ext{nm})$$, Red $$(\lambda = 660\ 	ext{nm})$$, or Yellow $$(\lambda = 595\ 	ext{nm})$$?

Accepted Answer

Blue

Question 9

Which equation describes the energy of an electron in the $$nth $$energy level of a hydrogen atom?

Accepted Answer

$$E = -2.18 	imes 10$$^{-18}$$\ 	ext{J} \left( \dfrac{1}{n^2$} ight)$$

Question 10

What is the wavelength of a 10.0 g bullet fired at $$250\ 	ext{m/s}$$ according to the de Broglie relation? $$(h = 6.626 	imes 10$$^{-34}$$\ 	ext{J} \cdot 	ext{s})$$

Accepted Answer

$$2.65 	imes 10$$^{-36}$$\ 	ext{m}$$

Question 11

Which statement best describes the Heisenberg Uncertainty Principle?

Accepted Answer

The more precisely the position of a particle is known, the less precisely its momentum can be known.

Question 12

Which of the following is a consequence of the quantization of energy in atoms?

Accepted Answer

Atoms emit discrete lines in their emission spectrum.

Question 13

What is the energy difference $$(\Delta E)$$ for an electron transition in a hydrogen atom from $$n=4 to$$ $$n=2$$?

Accepted Answer

$$\Delta E = -2.18 	imes 10$$^{-18}$$\ 	ext{J} \left( \dfrac{1}{2^2$} - \dfrac{1}{4^2$} ight)$$

Question 14

If the frequency of electromagnetic radiation emitted by the helium ion (He$$^+) in $$the electron transition from $$n=4 to$$ $$n=2 is $$compared to that of hydrogen, what is expected?

Accepted Answer

Greater than that for hydrogen

Question 15

Which transition in the Bohr model of the hydrogen atom requires the absorption of light with the shortest wavelength?

Accepted Answer

From $$n=1 to$$ $$n=3$$

Question 16

Which of the following best describes the difference between constructive and destructive interference?

Accepted Answer

Constructive interference occurs when amplitudes add, destructive when amplitudes cancel.

Question 17

Which equation gives the de Broglie wavelength $$(\lambda) of a $$particle with mass $$m$$ and velocity $$v$$?

Accepted Answer

$$\lambda = h / (mv)$$

Question 18

Which of the following is NOT a proposed assumption of the Bohr model?

Accepted Answer

Electrons emit energy continuously as they orbit the nucleus.

Chapter 7: The Quantum-Mechanical Model of the Atom – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards