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Questions and Answers
What is the amplitude in the wave diagram?
What is the amplitude in the wave diagram?
Wavelength and frequency are directly proportional to each other.
Wavelength and frequency are directly proportional to each other.
False
What is the frequency of a photon with a wavelength of 546 nm?
What is the frequency of a photon with a wavelength of 546 nm?
5.44 × 10^14 Hz
The energy of a photon is given by the formula E = hν, where h is ___ constant.
The energy of a photon is given by the formula E = hν, where h is ___ constant.
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Match the following properties to their corresponding symbols:
Match the following properties to their corresponding symbols:
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If the wavelength of a photon is 8.73 cm, what is its energy in joules?
If the wavelength of a photon is 8.73 cm, what is its energy in joules?
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There are 6.022 × 10^23 photons in one mole.
There are 6.022 × 10^23 photons in one mole.
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Calculate the frequency (in Hz) of one photon from 2 moles with a total energy of 1.13 J.
Calculate the frequency (in Hz) of one photon from 2 moles with a total energy of 1.13 J.
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The conservation of energy requires that the energy of a single photon equals ___ times the number of photons.
The conservation of energy requires that the energy of a single photon equals ___ times the number of photons.
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Which early 20th century phenomenon specifically demonstrated light’s particle properties?
Which early 20th century phenomenon specifically demonstrated light’s particle properties?
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In the Bohr model of the atom, electrons absorb energy when moving to orbits with a larger radius.
In the Bohr model of the atom, electrons absorb energy when moving to orbits with a larger radius.
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What happens to the energy levels of an electron in the Bohr model as the principal quantum number n increases?
What happens to the energy levels of an electron in the Bohr model as the principal quantum number n increases?
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The formula to calculate the frequency of light absorbed during an electron transition is ______.
The formula to calculate the frequency of light absorbed during an electron transition is ______.
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Match each electron transition to its corresponding line in the atomic emission spectrum:
Match each electron transition to its corresponding line in the atomic emission spectrum:
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What is the frequency (Hz) of light absorbed when an electron in a hydrogen atom transitions from n = 2 to n = 5?
What is the frequency (Hz) of light absorbed when an electron in a hydrogen atom transitions from n = 2 to n = 5?
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All objects possess ______ wavelengths that illustrate their wave-particle duality.
All objects possess ______ wavelengths that illustrate their wave-particle duality.
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De Broglie wavelengths are significant for everyday objects like baseballs.
De Broglie wavelengths are significant for everyday objects like baseballs.
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What is the formula used to calculate the energy of a photon?
What is the formula used to calculate the energy of a photon?
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Photons have mass.
Photons have mass.
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What is the momentum of a photon with a wavelength of 638 nm?
What is the momentum of a photon with a wavelength of 638 nm?
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The energy of a photon emitted from an electron falling from n=3 to n=1 in a hydrogen atom is _______ J.
The energy of a photon emitted from an electron falling from n=3 to n=1 in a hydrogen atom is _______ J.
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Match the following concepts with their respective values or descriptions:
Match the following concepts with their respective values or descriptions:
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How is the energy of 6.75 moles of photons with a wavelength of 612 nm expressed in kJ?
How is the energy of 6.75 moles of photons with a wavelength of 612 nm expressed in kJ?
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The momentum of a photon can be expressed as p = λh.
The momentum of a photon can be expressed as p = λh.
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What is the energy change (∆E) for the transition of an electron in hydrogen falling from n=3 to n=1?
What is the energy change (∆E) for the transition of an electron in hydrogen falling from n=3 to n=1?
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Planck's constant can be expressed as _______ J·s.
Planck's constant can be expressed as _______ J·s.
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Which of the following values represents the speed of light?
Which of the following values represents the speed of light?
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Study Notes
Wave Properties
- Amplitude: The maximum displacement of a wave from its equilibrium position. Corresponds to the height of a wave.
- Wavelength: The distance between two consecutive corresponding points of a wave, such as two crests or two troughs.
- Frequency: The number of waves that pass a given point in a unit of time. Often measured in Hertz (Hz).
Photon Energy
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Wavelength and Frequency (Visible Light): The wavelength of 546 nm wavelength of light translates to a frequency of 5.49 x 105 GHz. This calculation uses the speed of light (c) and the fundamental equation: c = νλ
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Photon Energy Calculation: The energy of a photon is calculated using the equation E = hc/λ; where h is Planck's constant, c is the speed of light, and λ is the wavelength.
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Energy and Frequency (Microwaves): A microwave photon with a wavelength of 8.73 cm has an energy of 2.28 x 10-24 Joules.
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Moles of Photons and Energy: 2 moles of photons with a total energy of 1.13 Joules have a frequency of 1.42 x 1015 Hz for each photon.
Atomic Structure and Light
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Bohr Model: Electrons absorb energy and move to higher energy levels (orbits), increasing in n values. The model predicts that the spacing between energy levels changes with increasing n values.
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Electron Transitions and Frequency: The frequency of light absorbed when an electron transitions from n=2 to n=5 in a hydrogen atom is 6.906 x 1014 Hz. This calculation uses the equation ΔE = hν and the appropriate energy change.
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Atomic Emission Spectra: A spectrum displaying the wavelengths of light emitted by an atom with the possible transitions for emitted lines labeled.
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Atomic Emission Transitions: Transitions are expressed as ninitial → nfinal (example: n=1 to n=2). Each transition corresponds with a characteristic emitted wavelength.
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Electron Closest to Zero Energy: At the end of particular transitions in a diagram illustrating atomic transitions, the electron is closest to zero energy.
Wave-Particle Duality and Momentum
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De Broglie Wavelength The De Broglie wavelength is calculated using the equation λ = h/p, where h is Planck's constant, and p is momentum.
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De Broglie Wavelength Example: A 144 grame baseball thrown at 95.3 mph has a de Broglie wavelength of 1.08 x 10-34 m
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Momentum of a Photon Calculation: The momentum of a photon with a wavelength of 638 nm is 1.04 x 10-27 kg·m/s. This utilizes the equation p = h/λ.
Energy of Photons
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Energy in Electron Transitions: An electron transitioning from n=3 to n=1 in a hydrogen atom releases photon energy of approximately 1.94 x 10-18 Joules.
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Energy of Multiple Photons (Example): 6.75 moles of photons, with each photon having a wavelength of 612 nm has an energy of 1.32 x 103 kJ. The equation E = hc/λ is used.
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Description
This quiz covers the fundamental concepts of wave properties, including amplitude, wavelength, and frequency. Additionally, it delves into photon energy calculations, involving wavelength and frequency of visible light and microwaves. Test your understanding of these key physics concepts and equations.
