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

They are inversely proportional: $$c = \lambda \nu$$

Q: If the energy of an electron in a hydrogen atom is $$E_n = -2.18 \times 10$$^{-18}$$ \frac{1}{n^2$} J$$, what is the energy difference for a transition from $$n=3 to$$ $$n=2$$?

$$-2.42 \times 10$$^{-19}$$ - (-5.45 \times 10$$^{-19}$$) = 3.03 \times 10$$^{-19}$$ J

Question 1

A lightning strike is observed before its thunder is heard. Based on the speeds of light and sound, which equation correctly relates the time difference between seeing the lightning and hearing the thunder if the storm is 1.5 km away? (Speed of light $$c = 3.00 	imes 10^8$ m/s, speed of sound v = 340$ m/s)

Accepted Answer

$$t = \frac{1500}{340}$$

Question 2

Which of the following statements best describes the difference between P waves and S waves as shown in the images?

Accepted Answer

P waves are longitudinal, S waves are transverse.

Question 3

Given a wave with an amplitude of 2 units and a wavelength of 5 meters, which property determines the brightness of visible light?

Accepted Answer

Amplitude

Question 4

Which region of the electromagnetic spectrum has the highest energy photons?

Accepted Answer

Gamma rays

Question 5

A prism separates white light into its component colors. Which property of light causes this separation?

Accepted Answer

Different wavelengths are refracted by different amounts.

Question 6

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number $$l$$

Question 7

Calculate the frequency of a radio wave with a wavelength of $$2.98 m. ($$Speed of light $$c = 3.00 	imes 10^8$ m/s)

Accepted Answer

$$1.01 	imes 10^8$ Hz

Question 8

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

Accepted Answer

$$n = 1, l = 0, m_l = -1$$

Question 9

Which transition in a hydrogen atom would emit radiation with the longest wavelength?

Accepted Answer

From $$n=3 to$$ $$n=2$$

Question 10

What is the energy of a photon of gamma radiation with $$\lambda = 1.0 	imes 10$$^{-13}$$ m? (Planck's constant h = 6.626$$ 	imes $$10^{-34} J$$·s, $$c = 3.00 	imes 10^8$ m/s)

Accepted Answer

$$1.99 	imes 10$$^{-12}$$ J

Question 11

Which of the following best explains why thermal imaging cameras can detect humans and animals in the dark?

Accepted Answer

Humans and animals emit infrared radiation, which is detected by the camera.

Question 12

Which of the following statements about the emission spectrum of an element is correct?

Accepted Answer

Each element has a unique emission spectrum due to its unique set of energy levels.

Question 13

Which quantum number(s) determine the orientation of an orbital in space?

Accepted Answer

Magnetic quantum number $$m_l$$

Question 14

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

Accepted Answer

They are inversely proportional: $$c = \lambda 
u$$

Question 15

Which of the following best describes the shape of a $$p$$ orbital?

Accepted Answer

Two lobes on opposite sides of the nucleus

Question 16

If the energy of an electron in a hydrogen atom is $$E_n = -2.18 	imes 10$$^{-18}$$ \frac{1}{n^2$} J$$, what is the energy difference for a transition from $$n=3 to$$ $$n=2$$?

Accepted Answer

$$-2.42 	imes 10$$^{-19}$$ - (-5.45 	imes 10$$^{-19}$$) = 3.03 	imes 10$$^{-19}$$ J

Question 17

Which of the following is a real-world application of the photoelectric effect?

Accepted Answer

Solar panels converting sunlight into electricity

Question 18

Which of the following best describes constructive interference?

Accepted Answer

When two waves combine to make a larger wave

Question 19

Which of the following best explains why electrons exhibit wave-like behavior?

Accepted Answer

Their wavelength is inversely proportional to their momentum, as predicted by de Broglie.

The Quantum-Mechanical Model of the Atom: Light, Electromagnetic Radiation, and Atomic Structure

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