How Does Speaker Placement Affect Sound Frequency Detection?

In summary, the student conducted an experiment in Best Buy with a pair of speakers before buying them. He placed the speakers 4.0 m apart and connected a signal generator to both producing a single tone. Walking 2.0 m from one speaker and 2.3 m from the other, the student noticed a quiet spot. With the known speed of sound in the room at 350 m/s, the possible frequencies being played by the speakers can be calculated using the equation f = v/λ = 350/6(2n+1) where n is an integer. However, the denominator of the equation should be 2n+1 instead of 6(2n+1). The problem can be
  • #1
Arnoldjavs3
191
3
Hi I am having a rough time with this questoin .

Homework Statement


Question: A student enters Best Buy prepared to buy a pair of speakers. Before he does so, he conducts an experiment with them. He places the speakers 4.0 m apart and connects a signal generator to both speakers that produces a single and consistent tone. (constant wavelength and frequency) He then walks to a point that is 2.0 m from one speaker and 2.3 m from the other. At that point he notices a quiet “spot”. If the speed of the sound in the room is known to be 350 m/s, calculate the possible frequencies being played by the speakers.



Homework Equations


PD = (n-1/2) λ



The Attempt at a Solution


f = v/(lambda) = 350/6(2n + 1) = 58.33/(2n+1) ... n belongs to integer
 
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  • #2
Arnoldjavs3 said:
350/6(2n + 1)
That denominator is not right. Try again. Take more care.
 
  • #3
PD = (n-1/2) λ ... PD = 0.3
 

FAQ: How Does Speaker Placement Affect Sound Frequency Detection?

1. How does light behave as both a wave and a particle?

The wave nature of light refers to its ability to exhibit properties such as diffraction, interference, and polarization. This behavior is described by the wave-like properties of light, such as wavelength and frequency. However, the particle nature of light, known as photons, also explains phenomena such as the photoelectric effect and the emission of discrete energy levels. The duality of light as both a wave and a particle is a fundamental concept in quantum mechanics.

2. What is the electromagnetic spectrum?

The electromagnetic spectrum is the range of all possible frequencies of electromagnetic radiation, including radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each type of radiation has a different wavelength and energy, and they are all forms of light. The electromagnetic spectrum is important in understanding the behavior and properties of light.

3. How does the wave nature of light explain color?

Color is a result of the different wavelengths of light that are reflected or absorbed by an object. The wave nature of light explains that each color corresponds to a specific wavelength of light. For example, red light has a longer wavelength than blue light. When white light is shone through a prism, it separates into different colors because each color has a different wavelength and is refracted by different amounts.

4. What is the difference between a wave and a ray of light?

A wave is a disturbance that propagates through a medium, such as air or water. In the case of light, it does not require a medium and can travel through a vacuum. A ray of light, on the other hand, is a straight line that shows the direction and path of light. It can be thought of as a narrow beam of light that travels in a straight line until it encounters an obstacle or is refracted.

5. How does the wave nature of light affect the behavior of light in different environments?

The wave nature of light explains how light behaves in various environments, such as when it passes through different mediums or encounters obstacles. For example, when light passes through a narrow opening, it diffracts and spreads out, creating a pattern of light and dark fringes. In addition, when light passes from one medium to another, it can be reflected, refracted, or absorbed, depending on the properties of the mediums and the angle at which the light hits the interface.

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