- #1
hidemi
- 208
- 36
- Homework Statement
- How to know the answer is E?
Thanks!
- Relevant Equations
- None
berkeman said:Welcome to PF.
What are your thoughts? Think of a transverse standing wave first -- what does the string or water look like one quarter period after the peaks are the highest?
The best approach (in my opinion) is to have a mental image and conceptual understanding of what is happening in a standing wave.hidemi said:Homework Statement:: How to know the answer is E?
Thanks!
Relevant Equations:: None
View attachment 277358
A longitudinal standing wave is a type of wave that occurs when two waves with the same frequency and amplitude travel in opposite directions and interfere with each other. This creates a pattern of nodes and antinodes where the particles of the medium vibrate back and forth, but do not move in a net direction.
The main difference between the two types of standing waves is the direction of particle motion. In a longitudinal standing wave, the particles vibrate back and forth in the same direction as the wave travels, while in a transverse standing wave, the particles vibrate perpendicular to the direction of the wave.
The formation of a longitudinal standing wave is affected by the frequency, amplitude, and wavelength of the two interfering waves. The properties of the medium, such as density and elasticity, also play a role in the formation of the wave.
One common example of a longitudinal standing wave is the sound wave produced in a musical instrument, such as a guitar or flute. Another example is the seismic waves that travel through the Earth during an earthquake.
Longitudinal standing waves have various applications in technology and research. They are used in medical ultrasound imaging to produce images of internal body structures. They are also used in particle accelerators to accelerate particles to high energies for scientific experiments. In addition, longitudinal standing waves are used in the study of acoustics and vibration analysis in engineering.