Demonstration of Standing Waves using a Spring
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
  

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?
  

3)A string with both fixed ends vibrates in first harmonic. What is corresponding wavelength?
  

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?
  

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?
  

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?
  

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?
  

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?
  

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?
  

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?