Questions: CO 3.12: Recall quantum theory terms appropriately, including wavelength, frequency, electromagnetic spectrum, wave-particle duality, deBroglie wavelength, Heisenberg uncertainty principle, Schrödinger equation, and wave function. Match the term to its corresponding definition: Term - wavelength - frequency - electromagnetic spectrum - wave-particle duality - deBroglie wavelength - Heisenberg uncertainty principle - Schrödinger equation - wave function Definitions - A function of the coordinates of an electron's position in three-dimensional space that describes the wave-like properties of the electron. - All particles also have wave-like characteristics, which are only noticeable when the particles are very small. - The wavelength of a particle is inversely proportional to its momentum and mass. - A mathematical formula used to find the allowed energy levels of atoms. - The number of cycles (waves) per second that pass a given point in space. ( v ) - The entire range of electromagnetic radiation ordered by energy. - The distance between two consecutive peaks or troughs in a wave. ( ^a ) - A principle stating that there is a fundamental limitation to how precisely both the position and momentum of a particle can be known at a given time.

CO 3.12: Recall quantum theory terms appropriately, including wavelength, frequency, electromagnetic spectrum, wave-particle duality, deBroglie wavelength, Heisenberg uncertainty principle, Schrödinger equation, and wave function.

Match the term to its corresponding definition:

Term
- wavelength
- frequency
- electromagnetic spectrum
- wave-particle duality
- deBroglie wavelength
- Heisenberg uncertainty principle
- Schrödinger equation
- wave function

Definitions
- A function of the coordinates of an electron's position in three-dimensional space that describes the wave-like properties of the electron.
- All particles also have wave-like characteristics, which are only noticeable when the particles are very small.
- The wavelength of a particle is inversely proportional to its momentum and mass.
- A mathematical formula used to find the allowed energy levels of atoms.
- The number of cycles (waves) per second that pass a given point in space. ( v )
- The entire range of electromagnetic radiation ordered by energy.
- The distance between two consecutive peaks or troughs in a wave. ( ^a )
- A principle stating that there is a fundamental limitation to how precisely both the position and momentum of a particle can be known at a given time.
Transcript text: CO 3.12: Recall quantum theory terms appropriately, including wavelength, frequency, electromagnetic spectrum, wave-particle duality, deBroglie wavelength, Heisenberg uncertainty principle, Schrödinger equation, and wave function. Match the term to its corresponding definition: \begin{tabular}{|c|} \hline Term \\ \hline wavelength \\ \hline frequency \\ \hline \begin{tabular}{c} electromagnetic \\ spectrum \end{tabular} \\ \hline \begin{tabular}{c} wave-particle \\ duality \end{tabular} \\ \hline \begin{tabular}{c} deBroglie \\ wavelength \end{tabular} \\ \hline \begin{tabular}{c} Heisenberg \\ uncertainty \\ principle \end{tabular} \\ \hline \begin{tabular}{c} Schrödinger \\ equation \end{tabular} \\ \hline wave function \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline \multicolumn{2}{|r|}{Definitions} \\ \hline \multicolumn{2}{|l|}{A function of the coordinates of an electron's position in threedimensional space that describes the wave-like properties of the electron.} \\ \hline \multicolumn{2}{|l|}{All particles also have wave-like characteristics, which are only noticeable when the particles are very small.} \\ \hline \multicolumn{2}{|l|}{The wavelength of a particle is inversely proportional to its momentum and mass.} \\ \hline \multicolumn{2}{|l|}{A mathematical formula used to find the allowed energy levels of atoms.} \\ \hline \multicolumn{2}{|l|}{The number of cycles (waves) per second that pass a given point in space. ( $v$ )} \\ \hline \multicolumn{2}{|l|}{The entire range of electromagnetic radiation ordered by energy.} \\ \hline \multicolumn{2}{|l|}{The distance between two consecutive peaks or troughs in a wave. ( ${ }^{\text {a }}$ )} \\ \hline \multicolumn{2}{|l|}{A principle stating that there is a fundamental limitation to how precisely both the position and momentum of a particle can be known at a given time.} \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Match the Term "Wavelength"

The definition for "wavelength" is "The distance between two consecutive peaks or troughs in a wave."

Step 2: Match the Term "Frequency"

The definition for "frequency" is "The number of cycles (waves) per second that pass a given point in space."

Step 3: Match the Term "Electromagnetic Spectrum"

The definition for "electromagnetic spectrum" is "The entire range of electromagnetic radiation ordered by energy."

Final Answer

  • Wavelength: \(\boxed{\text{The distance between two consecutive peaks or troughs in a wave.}}\)
  • Frequency: \(\boxed{\text{The number of cycles (waves) per second that pass a given point in space.}}\)
  • Electromagnetic Spectrum: \(\boxed{\text{The entire range of electromagnetic radiation ordered by energy.}}\)
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