Honors Waves on a string - 2023

Front

What are standing waves?

Back

Standing waves are created when two identical wave trains moving in opposite directions interfere with each other, resulting in a pattern that appears to be stationary.

Front

How do you calculate the frequency of harmonics on a string?

Back

The frequency of the nth harmonic is given by the formula: f_n = n(v/2L), where v is the wave speed, L is the length of the string, and n is the harmonic number.

Front

What is the frequency of the 1st harmonic for a violin string of length 0.54 m and wave speed of 56.5 m/s?

Back

The frequency of the 1st harmonic is 52.3 Hz.

Front

What is the frequency of the 4th harmonic for a violin string of length 0.54 m and wave speed of 56.5 m/s?

Back

The frequency of the 4th harmonic is 209 Hz.

Front

What does the second harmonic on a string fixed at both ends represent?

Back

The second harmonic represents one full wavelength fitting on the string.

Front

What is the relationship between points on a standing wave?

Back

In a standing wave, points at nodes (like A and C) do not move, while points at antinodes (like B) move with the greatest amplitude.

Front

What is a node in a standing wave?

Back

A node is a point on a standing wave where the wave has minimum amplitude and does not move.

Front

What is an antinode in a standing wave?

Back

An antinode is a point on a standing wave where the wave has maximum amplitude and moves up and down the most.

Front

What is the formula for wave speed?

Back

Wave speed (v) is calculated using the formula: v = fλ, where f is the frequency and λ is the wavelength.

Front

What is the wavelength of the 1st harmonic on a string?

Back

The wavelength of the 1st harmonic is twice the length of the string.