Determining the Speed of a Standing Wave - Demonstration

The video tutorial builds on previous lessons about standing wave patterns, focusing on how these patterns form at specific frequencies and wavelengths. It explains the relationship between frequency and wavelength, demonstrating how to calculate wave speed using the equation speed = frequency x wavelength. The tutorial includes practical examples and calculations to determine the average wave speed on a string. It also clarifies the difference between the speed of the wave and the motion of the string in standing wave patterns, emphasizing the role of constructive and destructive interference.

What is the relationship between the speed of a wave, its frequency, and its wavelength?

• Speed equals frequency divided by wavelength.

• Speed equals frequency plus wavelength.

• Speed equals frequency times wavelength.

• Speed equals wavelength divided by frequency.

As the frequency of a wave increases, what happens to its wavelength if the speed remains constant?

• The wavelength doubles.

• The wavelength decreases.

• The wavelength remains the same.

• The wavelength increases.

For a 15-hertz standing wave pattern, how many wavelengths are between the two ends of the string?

• One full wavelength

• Half a wavelength

• Three wavelengths

• Two wavelengths

What is the wavelength of a wave with a frequency of 45 hertz on the string?

• 2L/3

• 2L

• L/2

• L

What is the average speed of the wave on the string for the given frequencies?

• 26 meters per second

• 15 meters per second

• 45 meters per second

• 76 meters per second

Why do the standing wave patterns appear to move at different speeds?

• Because the wave speed changes with frequency.

• Because the wavelength changes with frequency.

• Because the frequency affects how fast the string moves up and down.

• Because the medium changes with frequency.

What creates the standing wave pattern on the string?

• The string's natural vibration.

• The change in wave frequency.

• The interference of waves moving in opposite directions.

• The change in string tension.