Q: A Blu-Ray player uses a laser with a wavelength of $$\lambda = 405 nm. $$What is the frequency of this light? (Speed of light $$c = 3.00 \times 10^8$ m/s)

$$v = 7.41 \times 10$$^{14}$$ Hz$

Q: According to the de Broglie relation, what is the wavelength of a proton ($$m = 1.67 \times 10$$^{-27}$$ kg) moving at 2.00$$ \times $$10^6 m/s$$?

$$\lambda = 1.98 \times 10$$^{-10}$$ m$

Q: A ground-state hydrogen atom absorbs a photon and its electron is promoted to $$n=3. $$What is the energy required for this transition? ($$R_H = 2.179 \times 10$$^{-18}$$ J)

$$E = 1.93 \times 10$$^{-18}$$ J$

Question 1

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

Accepted Answer

$$E = h 	imes v$$

Question 2

A Blu-Ray player uses a laser with a wavelength of $$\lambda = 405 nm. $$What is the frequency of this light? (Speed of light $$c = 3.00 	imes 10^8$ m/s)

Accepted Answer

$$v = 7.41 	imes 10$$^{14}$$ Hz$

Question 3

Which region of the electromagnetic spectrum is most likely to cause electronic transitions in molecules?

Accepted Answer

Ultraviolet

Question 4

According to the de Broglie relation, what is the wavelength of a proton ($$m = 1.67 	imes 10$$^{-27}$$ kg) moving at 2.00$$ 	imes $$10^6 m/s$$?

Accepted Answer

$$\lambda = 1.98 	imes 10$$^{-10}$$ m$

Question 5

Which statement best describes the photoelectric effect?

Accepted Answer

Electrons are ejected from a metal surface when it is exposed to light of sufficient frequency.

Question 6

What is the energy (in kJ/mol) of a photon with a wavelength of $$350 nm$$? ($$h = 6.626 	imes 10$$^{-34}$$ J·s, c = 3.00$$ 	imes $$10^8 m/s$$, $$N_A = 6.022 	imes 10$$^{23}$$ mol$$^{-1}$$)

Accepted Answer

$$E = 342 kJ/$$mol$

Question 7

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Azimuthal quantum number ($$l)$$

Question 8

If an electron in a hydrogen atom moves from $$n=5 to$$ $$n=2$$, what happens?

Accepted Answer

A photon is emitted.

Question 9

Which of the following is a limitation of Bohr’s model of the atom?

Accepted Answer

It cannot accurately predict spectra for atoms with more than one electron.

Question 10

What is the relationship between wavelength ($$\lambda) $$and frequency ($$v) $$for electromagnetic radiation?

Accepted Answer

$$c = \lambda 	imes v$$

Question 11

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

Accepted Answer

Magnetic quantum number ($$m_l)$$

Question 12

A ground-state hydrogen atom absorbs a photon and its electron is promoted to $$n=3. $$What is the energy required for this transition? ($$R_H = 2.179 	imes 10$$^{-18}$$ J)

Accepted Answer

$$E = 1.93 	imes 10$$^{-18}$$ J$

Question 13

Which property of electromagnetic radiation increases as wavelength decreases?

Accepted Answer

Frequency

Question 14

Which of the following best describes wave-particle duality?

Accepted Answer

Particles such as electrons exhibit both wave-like and particle-like properties.

Question 15

What is the ionization energy (in kJ/mol) required to remove an electron from a ground-state hydrogen atom? ($$R_H = 2.179 	imes 10$$^{-18}$$ J, N_A = 6.022$$ 	imes $$10^{23}$$ mol$$^{-1})$$

Accepted Answer

$$1312 kJ/$$mol$

Question 16

Which type of electromagnetic radiation is primarily used to probe rotational transitions in molecules?

Accepted Answer

Microwave

Question 17

If a molecule emits a photon with $$\lambda = 600 nm $$after absorbing a photon with $$\lambda = 350 nm$$, what is the change in energy of the molecule?

Accepted Answer

The molecule's energy increases by the difference in photon energies.

Question 18

Which quantum number determines the energy level of an electron in an atom?

Accepted Answer

Principal quantum number ($$n)$$

Question 19

Which scientist is credited with the discovery of energy quanta, leading to the development of quantum theory?

Accepted Answer

Max Planck

Quantum Theory and Periodicity: Electromagnetic Radiation, Photons, and Atomic Structure

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