### Question Description

A Graphical Analysis of Sound Waves

In order to study wave properties of sound, you will analyze a graph between amplitude and its corresponding distance. For this assignment, you will use the Unit I Assignment template located here. (Attached Document) The following video provides the instructions for this assignment:

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## Final Answer

Please find the attached solution in document and PDF format . Please feel free to ask if you have any questions about the solution :)

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A little girl plays on a piano. When she strikes a key, a sound wave travels through her

room. She presses four different single keys one by one and the graphical representations

of the sound waves are shown below from Plot A to Plot D. You can examine the detailed

graphical features by clicking here for a pdf file named “Plot A to D”. After analyzing the

individual graphs to obtain physical properties of waves from Plot A to Plot D, complete

the Table and answer the following questions.

Instructions

for

this

activity

are

given

by

the

YouTube

video

(https://www.youtube.com/watch?v=mSsvABvYo70) and the PowerPoint presentation.

Complete the Table: Calculate the amplitude, wavelength λ, frequency f, and

period T for each plot. When you calculate frequency, use v=fλ, where v is the

sound of speed at room temperature, v = 340 m/s. (50 points)

Plot

A

B

C

D

Amplitude

1

2

1

2

λ[m]

2

2

1

4

f [Hz]

170

170

340

85

T [sec]

0.00588

0.00588

0.00294

0.01176

1. What is the physical condition to make Plot A equal to Plot B?

(6 points)

If the amplitude of Plot A is doubled then Plot A becomes equal to plot B.

2. If the wavelength of Plot B is doubled, which plot has the same property? (6 points)

From the table, we can see that if the wavelength of plot B is doubled (i.e. 2(2)

=4m) the plot D has the same property as plot B as both have same amplitude and

wavelength in this new condition.

3. When the frequency of the sound doubles, it has a one-octave high pitch. How

many more octaves is Plot C compared to Plot D? (6 points)

The frequency of Plot C is 340 H...

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