Q: A certain metal has a work function of $$2.0\ \text{eV}. $$What is the minimum frequency of light required to eject electrons from this metal? (Planck's constant $$h = 6.63 \times 10$$^{-34}$$\ \text{J} \cdot \text{s}$$, $$1\ \text{eV} = 1.60 \times 10$$^{-19}$$\ \text{J})$$

$$4.83 \times 10$$^{14}$$\ \text{Hz}$$

Q: A photon has a wavelength of $$500\ \text{nm}. $$What is its energy? (Planck's constant $$h = 6.63 \times 10$$^{-34}$$\ \text{J} \cdot \text{s}$$, speed of light $$c = 3.00 \times 10^8$\ \text{m/s})$$

$$3.98 \times 10$$^{-19}$$\ \text{J}$$

Q: A sodium lamp emits light with a wavelength of $$589\ \text{nm}. $$What is the frequency of this light? (Speed of light $$c = 3.00 \times 10^8$\ \text{m/s})$$

$$5.09 \times 10$$^{14}$$\ \text{Hz}$$

Question 1

Which experiment provided evidence that electrons have both particle and wave properties?

Accepted Answer

The double-slit experiment

Question 2

According to the photoelectric effect, which of the following statements is correct?

Accepted Answer

Electrons are ejected from a metal surface only if the incident light has a frequency above a certain threshold.

Question 3

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

Accepted Answer

$$E = h 
u$$

Question 4

A certain metal has a work function of $$2.0\ 	ext{eV}. $$What is the minimum frequency of light required to eject electrons from this metal? (Planck's constant $$h = 6.63 	imes 10$$^{-34}$$\ 	ext{J} \cdot 	ext{s}$$, $$1\ 	ext{eV} = 1.60 	imes 10$$^{-19}$$\ 	ext{J})$$

Accepted Answer

$$4.83 	imes 10$$^{14}$$\ 	ext{Hz}$$

Question 5

Which of the following best describes the de Broglie hypothesis?

Accepted Answer

All matter has a wavelength given by $$\lambda = \frac{h}{mv}.$$

Question 6

Which statement about the Bohr model of the atom is correct?

Accepted Answer

Electrons occupy quantized orbits with specific energies.

Question 7

According to the Heisenberg uncertainty principle, which of the following is true?

Accepted Answer

It is impossible to simultaneously know both the exact position and momentum of a particle.

Question 8

Which equation represents the Heisenberg uncertainty principle?

Accepted Answer

$$\Delta x \cdot \Delta p \geq \frac{h}{4\pi}$$

Question 9

A photon has a wavelength of $$500\ 	ext{nm}. $$What is its energy? (Planck's constant $$h = 6.63 	imes 10$$^{-34}$$\ 	ext{J} \cdot 	ext{s}$$, speed of light $$c = 3.00 	imes 10^8$\ 	ext{m/s})$$

Accepted Answer

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

Question 10

Which of the following best explains why atomic emission spectra are discrete?

Accepted Answer

Electrons can only occupy specific energy levels in an atom.

Question 11

If the frequency of light is doubled, what happens to the energy of each photon?

Accepted Answer

It doubles.

Question 12

Which of the following is a correct statement about the relationship between wavelength and frequency for electromagnetic radiation?

Accepted Answer

$$c = \lambda 
u$$

Question 13

A sodium lamp emits light with a wavelength of $$589\ 	ext{nm}. $$What is the frequency of this light? (Speed of light $$c = 3.00 	imes 10^8$\ 	ext{m/s})$$

Accepted Answer

$$5.09 	imes 10$$^{14}$$\ 	ext{Hz}$$

Question 14

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

Accepted Answer

Solar panels converting sunlight into electricity

Question 15

Which of the following best describes the significance of the de Broglie wavelength in electron microscopy?

Accepted Answer

It allows electrons to be used as waves, improving resolution beyond that of light microscopes.

Question 16

Which of the following transitions in the hydrogen atom would emit the highest energy photon?

Accepted Answer

From $$n=3 to$$ $$n=1$$

Question 17

Which equation gives the energy levels of the hydrogen atom according to the Bohr model?

Accepted Answer

$$E_n = -\frac{2.18 	imes 10$$^{-18}$$\ 	ext{J}}{n^2$}$$

Question 18

A student claims that increasing the intensity of light in the photoelectric effect will increase the kinetic energy of the emitted electrons. Is this correct?

Accepted Answer

No, only increasing the frequency of the light increases the kinetic energy of the electrons.

Question 19

Which of the following best explains why we cannot know both the exact position and momentum of an electron in an atom?

Accepted Answer

Measuring one property disturbs the other due to the Heisenberg uncertainty principle.

Chapter 2 Study Guide: The Quantum-Mechanical Model of the Atom

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