Q: According to the Bohr model, what is the energy of an electron in the $$nth $$shell of a hydrogen atom?

$$E_n = -2.178 \times 10$$^{-18}$$ \left( \frac{1}{n^2$} \right)\ \text{J}$$

Q: What is the de Broglie wavelength of an electron with mass $$9.11 \times 10$$^{-31}$$\ \text{kg}$$ moving at $$2.0 \times 10^6$\ \text{m/s}$$? ($$h = 6.626 \times 10$$^{-34}$$\ \text{J} \cdot \text{s})$$

$$3.63 \times 10$$^{-10}$$\ \text{m}$$

Question 1

Which experiment provided the first conclusive evidence that light behaves as a wave?

Accepted Answer

Young's double-slit experiment

Question 2

According to Planck's solution to the blackbody paradox, energy is quantized. Which equation expresses this quantization?

Accepted Answer

$$\Delta E = nhv$$

Question 3

In the photoelectric effect, what determines the maximum kinetic energy of ejected electrons?

Accepted Answer

The frequency of the incident light

Question 4

Which of the following best explains why electrons do not spiral into the nucleus according to classical physics?

Accepted Answer

Accelerating charges should emit radiation and lose energy, but atoms are stable

Question 5

What is the Rydberg equation used for?

Accepted Answer

To predict the position and wavelength of spectral lines in hydrogen

Question 6

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number ($$l)$$

Question 7

What is the maximum number of electrons that can occupy a single orbital?

Accepted Answer

2

Question 8

Which of the following sets of quantum numbers is NOT allowed for an electron in an atom?

Accepted Answer

$$n=2,\ l=2,\ m_l=0,\ m_s=+\frac{1}{2}$$

Question 9

According to the Bohr model, what is the energy of an electron in the $$nth $$shell of a hydrogen atom?

Accepted Answer

$$E_n = -2.178 	imes 10$$^{-18}$$ \left( \frac{1}{n^2$} ight)\ 	ext{J}$$

Question 10

Which principle states that no two electrons in an atom can have the same set of four quantum numbers?

Accepted Answer

Pauli Exclusion Principle

Question 11

What is the de Broglie wavelength of an electron with mass $$9.11 	imes 10$$^{-31}$$\ 	ext{kg}$$ moving at $$2.0 	imes 10^6$\ 	ext{m/s}$$? ($$h = 6.626 	imes 10$$^{-34}$$\ 	ext{J} \cdot 	ext{s})$$

Accepted Answer

$$3.63 	imes 10$$^{-10}$$\ 	ext{m}$$

Question 12

Which of the following best describes Hund's Rule?

Accepted Answer

Electrons occupy degenerate orbitals singly before pairing

Question 13

Which of the following statements about the photoelectric effect is FALSE?

Accepted Answer

Increasing the intensity of light increases the kinetic energy of ejected electrons, regardless of frequency

Question 14

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

Accepted Answer

$$E = \frac{hc}{\lambda}$$

Question 15

What is the main reason for the large increase in ionization energy when removing a core electron compared to a valence electron?

Accepted Answer

Core electrons experience less shielding and a higher effective nuclear charge

Question 16

Which of the following is a correct statement about the periodic trend in atomic radius?

Accepted Answer

Atomic radius decreases across a period from left to right

Question 17

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

Accepted Answer

Constructive interference increases intensity, destructive decreases intensity

Question 18

Which of the following is the correct order of filling for the following orbitals according to the Aufbau principle?

Accepted Answer

4s, 3d, 4p

Question 19

Which property of a wave is defined as the number of cycles that occur per unit time?

Accepted Answer

Frequency ($$
u)$$

Atomic and Molecular Structure: Foundations for Organic Chemistry

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