Standing waves and frequency

In summary, a standing wave is a type of wave that occurs when two waves of the same frequency and amplitude interfere with each other, resulting in a pattern of nodes and antinodes. The frequency of a standing wave is determined by the frequency of the two interfering waves, and factors such as the length of the medium, the speed of the waves, and the medium's properties affect its formation. Standing waves have practical applications in music, seismology, and medical imaging, and can occur in all types of mediums.
  • #1
bigsaucy
38
0
1.) A string, stretched between two fixed posts, forms standing-wave resonances at 325Hz and 390Hz. What is the largest possible value of its fundamental frequency?

I have no idea on how to solve this problem, any assistance would be greatly appreciated.
 
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  • #2
Any frequency must be an integer multiple of the fundamental frequency. What is the largest integer that divides both 325 and 390?
 
  • #3
would it be 65Hz?
 

1. What is a standing wave?

A standing wave is a type of wave that occurs when two waves of the same frequency and amplitude travel in opposite directions and interfere with each other, resulting in a pattern of nodes and antinodes that appear to be standing still.

2. How is frequency related to standing waves?

The frequency of a standing wave is determined by the frequency of the two interfering waves. In order for a standing wave to form, the two waves must have the same frequency.

3. What factors affect the formation of standing waves?

The formation of standing waves is affected by the length of the medium, the frequency of the waves, and the speed of the waves in the medium. These factors determine the nodes and antinodes that are formed in the standing wave pattern.

4. How can standing waves be used in real-world applications?

Standing waves have several practical uses, such as in musical instruments where they create specific resonant frequencies, in seismology to measure the Earth's structure, and in medical imaging techniques like ultrasound.

5. Can standing waves occur in all types of mediums?

Yes, standing waves can occur in all types of mediums, including air, water, and solids. The specific properties of the medium, such as density and elasticity, will affect the speed of the waves and the resulting standing wave pattern.

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