The drawing shows a graph of two waves traveling to the right at the same speed. (a) Using the data in the drawing, determine the wavelength of each wave. (b) The speed of the waves is 12 m/s; calculate the frequency of each one. (c) What is the maximum speed for a particle attached to each wave? (a) AA= AB= (b) fA= fB = (c) VmaxA= Vmax= Ap i M 0.50 m 0.25 m AAA 4.0 -0.25 m²- -0.50 m x (m)
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
![The drawing illustrates a graph of two waves (in red and blue) traveling to the right at the same speed. Below the graph, there are boxes for calculations based on the following information:
- **Graph Details**:
- The x-axis represents position in meters (x), ranging from 0 to 6.0 meters.
- The y-axis represents displacement in meters, ranging from -0.50 to 0.50 meters.
- Wave A (red) and wave B (blue) are shown with different wavelengths.
- **Tasks**:
- **(a)** Determine the wavelength (\(\lambda\)) for each wave using the graph data.
- \(\lambda_A =\) [Input box] [Unit dropdown]
- \(\lambda_B =\) [Input box] [Unit dropdown]
- **(b)** Given that the speed of the waves is 12 m/s, calculate the frequency (\(f\)) of each wave.
- \(f_A =\) [Input box] [Unit dropdown]
- \(f_B =\) [Input box] [Unit dropdown]
- **(c)** Find the maximum speed (\(v_{\text{max}}\)) for a particle attached to each wave.
- \(v_{\text{max} A} =\) [Input box] [Unit dropdown]
- \(v_{\text{max} B} =\) [Input box] [Unit dropdown]
The problem guides users through analyzing wave properties such as wavelength and frequency, crucial concepts in wave mechanics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd00a953f-93ed-4d4f-930e-90e00b049c18%2F93a871ae-5810-4193-b9f9-5f6f7ea44a7c%2F8qag92m_processed.png&w=3840&q=75)
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