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Demonstration of Standing Waves using a Spring
Demonstration of Standing Waves using a Spring
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1)
In a fixed-length string with both ends fixed, what is the frequency of the second harmonic?
𝛎 - frequency of the wave , V - Velocity of the wave, L - Length of the string
𝛎 = V/3L
𝛎 = V/L
𝛎 = V/2L
𝛎 = V/4L
2)
Which of the following harmonics can be seen in the system when a string of length L has one end fixed and the other end free?
4
6
2
3
3)
A string with both fixed ends vibrates in first harmonic. What is corresponding wavelength?
Twice the length of the string
Equal to the length of the string
One - quarter the length of the string
One - half the length of the string
4)
In a scenario where a string has a length of L = 2 m, and both ends of the string are rigid, with a wave speed of 400 cm/s, what is the fundamental frequency of the string?
3 Hz
1 Hz
4 Hz
15 Hz
5)
What is the velocity of a wave traveling along a string with fixed ends, which is 3 meters long and vibrating in the first harmonic, if the string completes 66 vibrational cycles in 10 seconds?
3.1 m/s
1.1 m/s
0.5 m/s
2.2 m/s
6)
In the presence of a standing wave on a string of length L = 3 m, where both ends are fixed, if the fundamental frequency is 50 Hz, what is the speed of the wave?
400 m/s
500 m/s
200 m/s
300 m/s
7)
In the context of a standing wave generated on a string with a length of L = 5 m, where one end exhibits a node and the other end an antinode, what is the fundamental wavelength of the string?
40 m
28 m
20 m
42 m
8)
In the scenario of a standing wave formed on a string with a length of L = 6 m, featuring 4 nodes and 3 antinodes, where nodes occur at both ends of the string, what is the associated wavelength of the string?
4 m
6 m
1 m
8 m
9)
What is the fundamental frequency of the standing wave in the case when it is established on a string of length L = 8 m, with 2 nodes and 2 antinodes, where a node occurs at one end and an antinode at the other, and with a wave speed of 1 m/s?
0.09375 Hz
0.0315 Hz
0.0865 Hz
0.0581 Hz
10)
Given a string of length L = 0.5 m with one end free and the other end fixed, and a wave speed of 2 m/s, what is the fundamental frequency of the string?
1 Hz
3.5 Hz
4 Hz
3 Hz