4.4.2 Wave Equation

• What does the variable $v$ represent in the wave equation?


  Velocity
• In the wave equation, frequency is measured in Hertz (Hz).
• The wave equation describes the connection between the speed, frequency, and wavelength of a wave.
• The wave velocity ($v$) is measured in meters per second (m/s).
• The wave equation can only be used for transverse waves.

  False
• Match the symbol with its definition and units:

  v</latex> ↔️ Wave speed, m/s

  $f$ ↔️ Frequency, Hz

  $\lambda$ ↔️ Wavelength, m
• What is the unit of wavelength in the wave equation?

  Meters
• If a wave has a frequency of $5 Hz$ and a wavelength of $2 m$, what is its velocity?


  $10 m / s$
• What is the unit for wave frequency?

  Hz
• If $f =$$10 Hz$ and $\lambda =$$2 m$, then $v =$$20 m / s$


  True
• Match the symbol with its definition:

  $v$ ↔️ Wave velocity

  $f$ ↔️ Wave frequency

  $\lambda$ ↔️ Wavelength
• Arrange the steps to calculate wave velocity using the wave equation:

  1️⃣ Identify the given frequency and wavelength

  2️⃣ Use the formula $v =$$f \lambda$

  3️⃣ Calculate the wave velocity
• Wave velocity, frequency, and wavelength are all directly proportional to each other.

  False
• What does the wave equation allow you to solve for?

  Velocity, frequency, or wavelength
• What are the three variables related in the wave equation?

  Velocity, frequency, wavelength
• The symbol for wave velocity is v.
• To solve for velocity, use the formula v = f \lambda.
• The wave equation relates the wave velocity ($v$), frequency ($f$), and wavelength ($\lambda$).
• Steps to solve a physics problem using the wave equation

  1️⃣ Identify the known variables

  2️⃣ Choose the appropriate form of the equation

  3️⃣ Substitute the known values

  4️⃣ Solve for the unknown variable

  5️⃣ Check the units
• The wave equation can be used to calculate wavelength if velocity and frequency are known.


  True
• The frequency of a wave is inversely proportional to its wavelength when velocity is constant.


  True
• The velocity of a wave is directly proportional to both its frequency and wavelength.


  True
• What does the wave equation describe the connection between?

  v, f, and $\lambda$
• Wave velocity is directly proportional to both frequency and wavelength.


  True
• What is the wave velocity if the frequency is $10 Hz$ and the wavelength is $2 m$?


  $20 m / s$
• What does the wave equation allow you to determine if you know two of the three variables?

  Any one variable
• The wave equation must be rearranged to solve for the unknown variable.
• The unit for wave speed is m/s.
• Wave velocity is directly proportional to both frequency and wavelength.


  True
• Frequency and wavelength are inversely proportional when velocity is constant.


  True
• Wave velocity is directly proportional to both frequency and wavelength.
• Wavelength is inversely proportional to frequency
• The wave equation is given by v = f \lambda</latex>, where $\lambda$ represents the wavelength
• Frequency is inversely proportional to wavelength when velocity is constant.
• If the wave velocity is $20 m / s$ and the frequency is $10 Hz$, the wavelength is 2 m
• If the frequency is $10 Hz$ and the wavelength is $2 m$, the wave velocity is 20 m / s</latex>
• The wave equation is $v =$$f \lambda$.


  True
• What is the unit for wavelength?

  m
• What happens to wavelength when frequency increases if velocity is constant?

  Decreases
• What is the wavelength of a wave with a velocity of 100 m/s and a frequency of 50 Hz?

  2 m