Question:

QUESTION 21 For each of the following questions, sketch the corresponding standing wave pattern and find the values for each que

QUESTION 21
For each of the following questions, sketch the corresponding standing wave pattern and find the values for each question.
The effective length of the resonance chamber in an oboe is 0.75 m. The oboe resonates like a tube closed at one end.
(a) Find the frequency of the lowest pitch the oboe can play.
(b) If a hole is opened (2/5)L from the open end of the oboe, find the frequency of the lowest possible resulting pitch.
(c) On a musical instrument, a string of linear mass density 5 g/m, vibrating in its fifth harmonic mode, will produce a wave of frequency 768 Hz
when tightened to a tension of 80 N. What is the length of the string?

QUESTION 21 For each of the following questions, sketch the corresponding standing wave pattern and find the values for each question. The effective length of the resonance chamber in an oboe is 0.75 m. The oboe resonates like a tube closed at one end. (a) Find the frequency of the lowest pitch the oboe can play. (b) If a hole is opened (2/5)L from the open end of the oboe, find the frequency of the lowest possible resulting pitch. (c) On a musical instrument, a string of linear mass density 5 g/m, vibrating in its fifth harmonic mode, will produce a wave of frequency 768 Hz when tightened to a tension of 80 N. What is the length of the string?

Answer

a)
(0
2
4
= 0.75m
Lowest
pitch
a = 3m
-0.75m
wave
f - Vsound
330 m/s
"
-
V
[f= 110 12
Hz
WE
alih
2 L
hole
%3D
} +0.75
2 *0.75 = 0.30m
-0.3m
50 =0.75m
८
h
Lowest
pitch
possible,
0.75
2 = 0.6 m
to
=
= 330 = 550 Hz
0.6
VAN ()
w
c)
Mass (m) = 54 - 5*10*9!
length
Vstning
Je
l
I
80
sua olson
M
5x10-3
f = x 6 rats
8=
re4 E
८
4
n = f
>la
=> 768 = YOUTO
- (Hora) (5)
I yovi
>
= 0.41m
al
5
2 x 768
[l= 41cm
[e

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a) (0 2 4 = 0.75m Lowest pitch a = 3m -0.75m wave f - Vsound 330 m/s " - V [f= 110 12 Hz WE alih 2 L ... Download the app for the rest