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

$$5.83 \times 10$$^{14}$$\ \text{s}^{-1}$$

Question 1

Which of the following statements best describes the main insight from Schrödinger’s cat thought experiment as it relates to quantum mechanics?

Accepted Answer

It highlights the concept of superposition and the indeterminacy of quantum states until measured.

Question 2

Which equation correctly relates the speed of light ($$c$$), wavelength ($$\lambda$$), and frequency ($$
u) of $$electromagnetic radiation?

Accepted Answer

$$c = \lambda 
u$$

Question 3

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

Accepted Answer

$$5.83 	imes 10$$^{14}$$\ 	ext{s}^{-1}$$

Question 4

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

Accepted Answer

Ultraviolet

Question 5

What is the main reason why we do not observe quantum mechanical wave properties for macroscopic objects like baseballs?

Accepted Answer

Their de Broglie wavelength is extremely small compared to their size.

Question 6

Which of the following best describes the uncertainty principle?

Accepted Answer

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

Question 7

A photon has a frequency of $$6.0 	imes 10$$^{14}$$ Hz. What is its energy? (h = 6.626$$ 	imes $$10^{-34} J$$·s)

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Which set of quantum numbers is NOT allowed?

Accepted Answer

$$n = 2,\ l = 1,\ m_l = -2,\ m_s = -\frac{1}{2}$$

Question 10

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

Accepted Answer

9

Question 11

Which of the following statements about atomic emission spectra is correct?

Accepted Answer

They are unique for each element and consist of discrete lines.

Question 12

What is the wavelength (in nm) of light emitted when an electron in a hydrogen atom moves from $$n = 4 to$$ $$n = 2$$?

Accepted Answer

487 nm

Question 13

Which quantum number primarily determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number ($$l)$$

Question 14

What is the maximum number of electrons that can occupy the $$n = 2$$ principal energy level?

Accepted Answer

8

Question 15

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

Accepted Answer

Constructive interference results in a larger wave, while destructive interference results in cancellation.

Question 16

Which of the following is a correct statement about the photoelectric effect?

Accepted Answer

Electrons are emitted only if the light has a frequency above a certain threshold, regardless of intensity.

Question 17

Calculate the de Broglie wavelength of an electron (mass $$9.11 	imes 10$$^{-31}$$ kg) moving at 2.65$$ 	imes $$10^6 m/s$$. ($$h = 6.626 	imes 10$$^{-34}$$ J·s)

Accepted Answer

$$2.73 	imes 10$$^{-10}$$ m

Question 18

Which of the following best explains why atoms are depicted as roughly spherical?

Accepted Answer

All orbitals together make up a roughly spherical shape.

Question 19

Which of the following is the correct set of quantum numbers for a 5d orbital?

Accepted Answer

$$n = 5,\ l = 2,\ m_l = -2$$

Quantum-Mechanical Model of the Atom: Study Notes for General Chemistry

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