10_MusicOnStrings

Multiple Choice

The moving black dot is called:

• a node
• an anti-node
• an anti-amplitude
• the wangy bit

Multiple Choice

Standing waves are created by

• Two identical waves (same frequency and wavelength) reflecting off each other

• Two identical waves (same frequency and wavelength) being diffracted together

• Two identical waves (same frequency and wavelength) move through each other in opposite directions

• Two identical waves (same frequency and wavelength) are diffracted from two identical sources

Labeling

Label the following points

Drag labels to their correct position on the image

Amplitude

Wavelength

Crest

Trough

Match

Match the following

• crest

• amplitude

• wavelength

• Trough

• wavelength

A

C

B

D

E

• A

• C

• B

• D

• E

Multiple Choice

How many antinodes does this standing wave have?

• 5

• 6

• 7

• 8

Open Ended

How do the physical properties of a stringed instrument influence the sound it produces?

Multiple Choice

What is the difference between a musical note and noise in terms of vibration?

• A musical note vibrates randomly, while noise vibrates uniformly.

• A musical note vibrates in a uniform manner, while noise vibrates randomly.

• Both musical note and noise vibrate in a uniform manner.

• Both musical note and noise vibrate randomly.

Open Ended

Explain how standing waves are formed on a string and why they are important for musical instruments.

Multiple Select

Which of the following statements about nodes and antinodes in a standing wave is/are correct?

• Nodes are points of maximum amplitude.

• Antinodes are points of total destructive interference.

• Nodes are points that do not move.

• Antinodes are points where particles move with the most amplitude.

Fill in the Blanks

Resonance occurs when a system is exposed to a periodic force whose frequency is equal or very close to its

frequency.

Multiple Choice

Which harmonic is shown?

• 1st
• 2nd
• 3rd
• 4th

Open Ended

Describe the relationship between fundamental frequency, harmonics, and overtones in the harmonic series of a vibrating string.

Multiple Choice

Which of the following best explains what is being demonstrated in the experiment shown in the image?

• The formation of standing waves on a string.

• The measurement of sound intensity.

• The effect of temperature on string vibration.

• The creation of random noise using a string.

Multiple Choice

The figure represents a string of length L, fixed at both ends, vibrating in several harmonics. Which string shows the 4th harmonic?

• A

• B

• C

• D

• E

Multiple Choice

Which equation describes the relationship between the length of a vibrating string and its wavelength for the nth harmonic?

• L = n(λn/2)

• L = λn/2

• L = nλn

• L = λn*n

Multiple Choice

If a guitar string has a fundamental frequency of 100 Hz, what is the frequency of its second harmonic?

• 50 Hz

• 100 Hz

• 200 Hz

• 400 Hz

Open Ended

Explain how the master equation for frequency (fn = nv/2L) is derived from the geometric relationship and the universal wave equation.

Multiple Choice

A violin string is 0.540 m long and the speed of sound in the string is 1440 m/s. What is the frequency of the first harmonic?

• 1333 Hz

• 1440 Hz

• 2700 Hz

• 4000 Hz

Open Ended

Describe how pressing a finger on a fret of a guitar affects the frequency of the sound produced. Use the concepts of length and frequency in your explanation.

Multiple Choice

Which of the following factors will increase the frequency of a vibrating string?

• Increasing the length of the string

• Increasing the tension in the string

• Increasing the linear density of the string

• Decreasing the tension in the string

Fill in the Blanks

The wave speed on a string is given by the equation v =

(FT/μ).

Multiple Choice

Which equation relates the frequency and length of a vibrating string when the wave speed is constant?

• f1L1 = f2L2

• f1/f2 = L2/L1

• f1L2 = f2L1

• f1 + f2 = L1 + L2

Fill in the Blanks

To double the frequency of a piano string, the tension must be increased to

N.

Open Ended

Explain how changing the tension in a piano string affects its frequency, using the relationship between wave speed and tension.