Standing waves

The diagram below represents a standing wave in

a string.Maximum constructive interference occurs at the __.

• antinodes A, C and E

• antinodes B and D

• nodes A, C and E

• nodes B and D

While playing, two children create a standing

wave in a rope, as shown in the diagram below. A

third child participates by jumping the rope.What is the wavelength of this standing wave?

• 2.15 m

• 4.30 m

• 6.45 m

• 8.60 m

What is the total number of nodes and antinodes

in the standing wave?

• 3 nodes and 2 antinodes

• 2 nodes and 3 antinodes

• 5 nodes and 4 antinodes

• 4 nodes and 5 antinodes

What is the wavelength of the first harmonic

(fundamental frequency) for a string of length 𝐿?

• 𝜆 = 2𝐿/3

• 𝜆 = 𝐿/2

• 𝜆 = 𝐿

• 𝜆 = 2𝐿

The second harmonic of a guitar string has a

frequency of 60 Hz. If the speed of waves on the

string is 120 m/s, what is the string’s length?

• 1.0 m

• 2.0 m

• 3.0 m

• 4.0 m

If the fundamental frequency of a stretched

string is 𝑓o, what is the frequency of the 3rd

harmonic?

• 𝑓o

• 3𝑓o

• 6𝑓o

• 9𝑓o

If the frequency of the fifth harmonic on a stretched

string is 1500 Hz. What is the fundamental

frequency?

• 100 Hz

• 300 Hz

• 500 Hz

• 1500 Hz

The diagram shows standing waves formed on a stretched string of length 𝐿 = 12 𝑚. The speed of waves on this

string is 𝑣 = 24𝑚/𝑠.Calculate the wavelength of the waves.

• 6m

• 12m

• 18m

• 24m

The diagram shows standing waves formed on a stretched string of length 𝐿 = 12 𝑚. The speed of waves on this

string is 𝑣 = 24𝑚/𝑠.Calculate the frequency of the harmonic shown in the figure above.

• 2.0Hz

• 4.0Hz

• 6.0Hz

• 8.0Hz

The diagram shows standing waves formed on a stretched string of length 𝐿 = 12 𝑚. The speed of waves on this

string is 𝑣 = 24𝑚/𝑠.Find the fundamental frequency of the oscillations if the frequency of the fourth harmonic is 4.0Hz.

• 1Hz

• 2Hz

• 3Hz

• 4Hz