4.1.2 Amplitude, wavelength, frequency, and period

• Waves with high wavelengths have short distances between peaks.

  False
• What is the definition of wavelength?

  Distance between peaks
• What does a longer wavelength indicate about the spacing between waves?

  More spaced out
• What is the definition of the period of a wave?

  Time for one full cycle
• Match the period of a wave with its corresponding wave characteristics:

  High period ↔️ Few waves per second

  Low period ↔️ Many waves per second
• A wave with a large amplitude will be shorter than a wave with a small amplitude.

  False
• What is the formula for the period of a wave in terms of its frequency?

  $\text{Period} =$$\frac{1}{\text{Frequency}}$
• What is the relationship between wavelength and frequency of a wave?

  Wavelength and frequency are inversely proportional
• If the amplitude of a wave increases, what happens to the energy carried by the wave?

  The energy carried by the wave increases
• If a wave takes 2 seconds to complete a cycle, what is its period?

  2 seconds
• What is the definition of wavelength?

  The distance between two consecutive peaks or troughs in a wave.
• How does increasing the amplitude affect the wave?

  • Increases the maximum displacement from the resting position
  • Increases the energy carried by the wave
• How do the properties of wavelength and amplitude differ in their effect on the wave?

  Increasing wavelength decreases frequency, while increasing amplitude increases energy
• What are amplitude and wavelength as wave properties?

  Wave properties
• If the wavelength of a wave increases, what happens to its frequency?

  The frequency decreases
• What is the definition of amplitude?

  The maximum displacement of a wave from its resting position.
• How does increasing the wavelength affect the wave?

  • Increases the distance between consecutive peaks/troughs
  • Decreases the frequency of the wave
• Match the wavelength with its corresponding distance:

  High ↔️ Long

  Low ↔️ Short
• What unit is used to measure wavelength?

  Meters
• What is the period of a wave with a frequency of 4 Hz?

  0.25 seconds
• What is the name of the graph shown in the image?

  Amplitude vs time
• What unit is used to measure amplitude?

  Meters
• How would you calculate the frequency of the wave shown in the image?

  To calculate the frequency:

  1. Count the number of complete cycles in a given time period
  2. Divide the number of cycles by the time period

  For the wave shown, there are 2 complete cycles in 1 second, so the frequency is 2 cycles/sec.
• What is the frequency of the wave shown in the image?

  $2 \text{ cycles/sec}$
• What is the formula to calculate the frequency of a wave?

  $f =$$\frac{v}{\lambda}$
• What is the relationship between frequency and period?

  Inversely proportional
• Frequency and period are the same property of a wave.

  False
• What unit is frequency measured in?

  Hertz (Hz)
• How does the frequency of the wave relate to the time between each complete cycle?

  The frequency is the inverse of the time between each complete cycle
• What unit is period measured in?

  Seconds (s)
• What is the definition of frequency in wave mechanics?

  Waves per second
• What are the key features of the wave shown in the image?

  • The wave has a periodic, sinusoidal shape
  • It has two complete cycles shown
  • The time between the start of each cycle is 0.5 seconds
  • The amplitude (peak height) of the wave is constant
• What does a shorter wavelength indicate about the spacing between waves?

  Closer together