Wave and light Properties

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Questions and Answers

Match the labeled portions of the diagram of a wave to the correct definitions:

Amplitude = The height of the wave from the midline Wavelength = The distance between consecutive peaks Frequency = The number of waves passing a point per unit time

What is the frequency (in GHz) of a photon with a wavelength of 546 nm?

  • 547.1 GHz (correct)
  • 547.1 THz
  • 0.55 THz
  • 0.55 GHz

The photoelectric effect demonstrates light's particle properties.

True (A)

What transition in a hydrogen atom corresponds to an electron falling from n=3 to n=1?

<p>Emission of energy</p> Signup and view all the answers

According to Planck's equation, the energy of a photon is given by E = ______ x frequency.

<p>h (Planck's constant)</p> Signup and view all the answers

What is true about the Bohr model of the atom?

<p>Electrons orbit the nucleus in a circular orbit with a fixed radius (A)</p> Signup and view all the answers

Calculate the momentum (in kg·m/s) of a photon with a wavelength of 638 nm.

<p>3.12 x 10^-27 kg·m/s</p> Signup and view all the answers

Match each line in the atomic absorption spectrum to the corresponding transition:

<p>n = 1 to n = 2 = Lowest energy absorption n = 1 to n = 3 = Moderate energy absorption n = 2 to n = 3 = Minimal energy absorption n = 1 to n = 4 = Higher energy absorption</p> Signup and view all the answers

Photons have mass.

<p>False (B)</p> Signup and view all the answers

What is the energy (in J) of the photon given off when an electron in a hydrogen atom falls from n=3 to n=1?

<p>1.89 J (A)</p> Signup and view all the answers

Flashcards

Amplitude of a wave

The maximum displacement of a wave from its equilibrium position.

Wavelength of a wave

The distance between two consecutive corresponding points of a wave, such as two crests or two troughs.

Frequency of a wave

The number of complete cycles of a wave that pass a given point per unit time.

Photoelectric Effect

The emission of electrons when light shines on a material.

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Bohr model of the atom

A model of the atom in which electrons orbit the nucleus in specific energy levels.

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Atomic Absorption Spectrum

A spectrum of light absorbed by an element showing the characteristic wavelengths and frequencies

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De Broglie Wavelength

The wavelength associated with a moving particle.

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Photon momentum

Momentum carried by a photon.

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Electron Transition in Hydrogen

A change of energy level (orbital) by an electron in a Hydrogen atom

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Energy of photons

The energy carried by photons, determined by their frequency and wavelength

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Study Notes

Wave Characteristics

  • Amplitude: The maximum displacement of a wave from its equilibrium position. It's visually represented as the height of a wave crest or depth of a trough.

  • Wavelength: The distance between two consecutive corresponding points of a wave, such as from crest to crest or trough to trough.

  • Frequency: The number of waves that pass a fixed point in one second. It is often measured in Hertz (Hz).

Photon Energy and Frequency

  • Wavelength-Frequency Relationship: The wavelength of a photon is inversely proportional to its frequency. A shorter wavelength means a higher frequency and vice versa.

Early 20th Century Experiments & Particle Properties of Light

  • Key Experiment: The photoelectric effect demonstrated light's particle properties.

Bohr Model of the Atom

  • Electron Energy Levels: Electrons in atoms occupy specific energy levels; they do not occupy continuous energy levels..
  • Quantized Transitions: When an electron changes energy levels, it absorbs or emits a photon with a specific energy related to the difference between those levels.

Atomic Absorption Spectrum

  • Electron Transitions: Each spectral line corresponds to a particular electronic transition in the atom, where energy is either absorbed or emitted during an electron's change in energy levels between orbitals.

De Broglie Wavelength

  • Wave-Particle Duality: All matter possesses both wave-like and particle-like properties.
  • Calculation: The de Broglie wavelength of an object is inversely proportional to its momentum. This is a quantum mechanical concept with a formula.

Momentum of Photons

  • Momentum: Photons, although massless, possess momentum.
  • Calculation: The momentum of a photon is inversely proportional to its wavelength.

Energy of Photons and Electron Transitions in Hydrogen Atom

  • Photon Emission/Absorption: Electrons changing energy levels in atoms either absorb or emit photons. The energy of the photon is equal to the energy difference between the energy levels.
  • Calculations: The calculation involves the difference in energy levels along with constants, such as Planck's constant.

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