wavelength and frequency of standing wave

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. the length of the string is given as 3 m?

• 6m

• 3m

• 30m

• 60m

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

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

• 4m

• 2m

• 12m

The diagram shows standing waves formed on a stretched string. The speed of waves on this string is 𝑣 = 24𝑚/𝑠 and the wavelength is 6m. Calculate the frequency of the harmonic shown in the figure above.

• 4Hz

• 6Hz

• 1Hz

• 2Hz

Find the fundamental frequency of the oscillations.If the frequency of the harmonic shown in the figure above is given as 4 Hz

• 1 Hz

• 2 Hz

• 3 Hz

• 4Hz

find the wavelength of the standing wave

• a

• b

• c

• d

If f0 is the fundamental frequency(first harmonic) of a standing wave produced in a string when it is plucked, what are the next three frequencies for which standing waves are formed?

• B

• C

• D

• A

• E

A particular note played on a cello has a fundamental frequency of 100 Hz. What is the frequency of the fourth harmonic of that pitch?

• 300Hz

• 200Hz

• 400Hz

• 100Hz

The second harmonic of a guitar string has a frequency of 60 Hz. If the speed of waves on the string is 180 m/s, what is the string’s length?

• 1m

• 2m

• 3m

• 4m

Two wave sources operating in phase in the same medium produce the circular wave patterns shown in the diagram. The solid lines represent wave crests and the dashed lines represent wave troughs. Which point is at a position of maximum destructive interference?

• A

• B

• C

• D