Q: Given the speed of light $$c = 3.00 \times 10^8$ m/s and a wavelength $$\lambda = 500$$ nm, what is the frequency $$\nu$$ of the light?

$$\nu = 6.00 \times 10$$^{14}$$ Hz

Q: A photon has a wavelength of $$4.00 \times 10$$^{-7}$$ m. What is its energy?

$$E = 4.97 \times 10$$^{-19}$$ J

Question 1

Which equation correctly relates the energy of a photon to its frequency according to Planck's theory?

Accepted Answer

$$E = h 
u$$

Question 2

A hospital uses X-rays for medical imaging. Which statement best explains why X-rays are suitable for this application?

Accepted Answer

X-rays have high energy and short wavelength, allowing them to penetrate tissues and produce detailed images.

Question 3

Given the speed of light $$c = 3.00 	imes 10^8$ m/s and a wavelength $$\lambda = 500$$ nm, what is the frequency $$
u$$ of the light?

Accepted Answer

$$
u = 6.00 	imes 10$$^{14}$$ Hz

Question 4

Which of the following best describes the difference between the classical wave model and the quantum model of light?

Accepted Answer

The classical wave model treats light as a continuous wave, while the quantum model treats light as discrete packets of energy called photons.

Question 5

An electron in a hydrogen atom transitions from $$n=3 to$$ $$n=2. $$What happens to the energy of the atom?

Accepted Answer

The atom emits a photon with energy equal to the difference between the two energy levels.

Question 6

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

The azimuthal quantum number $$l$$

Question 7

A sodium atom ($$Z=11) $$has the electron configuration $$1s^2$$ $$2s^2$$ $$2p^6$$ $$3s^1. $$What is the effective nuclear charge ($$Z_{eff}) $$experienced by the $$3s$$ electron?

Accepted Answer

$$Z_{eff} \approx 2$$

Question 8

Which statement about the Pauli Exclusion Principle is correct?

Accepted Answer

No two electrons in the same atom can have identical sets of all four quantum numbers.

Question 9

Which formula is used to calculate the de Broglie wavelength of a moving object?

Accepted Answer

$$\lambda = \frac{h}{mv}$$

Question 10

A gas sample at 1.00 atm and 273 K occupies 22.4 L. Which law is being demonstrated?

Accepted Answer

Ideal Gas Law: $$PV = nRT$$

Question 11

Which of the following best explains Hund's Rule?

Accepted Answer

Electrons occupy degenerate orbitals singly before pairing.

Question 12

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

Accepted Answer

Magnetic quantum number $$m_l$$

Question 13

Which of the following elements is isoelectronic with Argon ($$Z=18$$)?

Accepted Answer

Cl$$^-$$

Question 14

A photon has a wavelength of $$4.00 	imes 10$$^{-7}$$ m. What is its energy?

Accepted Answer

$$E = 4.97 	imes 10$$^{-19}$$ J

Question 15

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 16

Which of the following is a correct electron configuration for Aluminum ($$Z=13$$)?

Accepted Answer

$$1s^2$$ $$2s^2$$ $$2p^6$$ $$3s^2$$ $$3p^1$$

Question 17

Which concept explains why atomic emission spectra consist of discrete lines?

Accepted Answer

Electrons occupy quantized energy levels and emit photons when transitioning between them.

Question 18

Which of the following best describes the relationship between pressure and volume in the ideal gas law?

Accepted Answer

Pressure increases as volume decreases, assuming constant temperature and moles.

Question 19

Which principle quantum number ($$n) $$corresponds to the third energy level in an atom?

Accepted Answer

$$n = 3$$

Question 20

Which statement about effective nuclear charge ($$Z_{eff}) is $$correct?

Accepted Answer

It is the net positive charge experienced by an electron in a multi-electron atom, accounting for shielding by other electrons.

General Chemistry Study Guide: Electronic Structure, Atomic Theory, and Quantum Concepts

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