Suppose the water level is at length L1 for the first resonance of the first tun
ID: 1401090 • Letter: S
Question
Suppose the water level is at length L1 for the first resonance of the first tuning fork.
a) Could another tuning fork with a frequency lower than that of the first tuning fork produce a resonance? Explain your answer and if it is yes, then calculate the frequency of the new tuning fork.
b) Could another tuning fork with a higher frequency produce a resonance? Explain your answer and if it is yes, then calculate the frequency of the new tuning fork.
Temperature of Air = 21.7 (°C)
Inside Diameter of Tube = 2.5 (cm)
Tuning Fork 1
Tuning Fork 2
Frequency = 512Hz
Frequency = 426.7 Hz
Resonance Position
DL
Resonance Position
DL
L1
0.156
0.189
L2
0.476
0.32
0.609
0.42
L3
0.826
0.35
1.029
0.42
L4
1.166
0.34
1.439
0.41
L5
1.496
0.33
Average DL
0.335
0.417
Average l
0.670
0.834
Table 1
Speed of sound from Fork 1 = 343.04 m/s
Speed of sound from Fork 2 = 355.87 m/s
Average speed of sound= 349.46 m/s
Speed of sound from equation (2) = 344.52
Percent Error =1.43%
Unknown Tuning Fork
Resonance Position
DL
L1
0.132
L2
0.288
0.156
L3
0.45
0.162
L4
0.621
0.171
L5
0.787
0.166
Average DL
0.1638
Average l
0.3276
Table 2
Experimental Value of Unknown Frequency = 1066.72
Accepted Value of Frequency =1024Hz
Percent Error =4.17%
Tuning Fork 1
Tuning Fork 2
Frequency = 512Hz
Frequency = 426.7 Hz
Resonance Position
DL
Resonance Position
DL
L1
0.156
0.189
L2
0.476
0.32
0.609
0.42
L3
0.826
0.35
1.029
0.42
L4
1.166
0.34
1.439
0.41
L5
1.496
0.33
Average DL
0.335
0.417
Average l
0.670
0.834
Explanation / Answer
Frequency = V/(4L1) , closed tube harmonics
V = velocity of sound in water
a) No, you cannot produce frequency lower than that of the fundamental frequency
b) Yes, you can produce frequency higher than that of the fundamental frequency using a tunign fork.
Frequency (1)= V/(4L1)
Frequency (2) = 3V/(4L1)
Next frequency will be 3 times higher than that of the fundamental one,so onehas to use tuning fork of 3 times the frequency.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.