Read the following case and answer the questions give below:
During a science laboratory activity, a teacher uses a density-versus-distance graph to represent a sound wave produced by a vibrating source. The graph shows alternating regions of maximum and minimum density. The distance between two successive maximum-density regions is measured as \(0.80\ m\).
The sound wave travels through air at a speed of \(320\ m/s\). The teacher explains that the maximum-density regions correspond to crests, while the minimum-density regions correspond to troughs. The students also observe that a sound becomes weaker as they move farther away from the source, although the note produced by the source remains unchanged.
The teacher then compares this wave with another sound wave travelling through the same medium. The second wave has twice the frequency of the first wave but has a smaller amplitude.
The sound wave travels through air at a speed of \(320\ m/s\). The teacher explains that the maximum-density regions correspond to crests, while the minimum-density regions correspond to troughs. The students also observe that a sound becomes weaker as they move farther away from the source, although the note produced by the source remains unchanged.
The teacher then compares this wave with another sound wave travelling through the same medium. The second wave has twice the frequency of the first wave but has a smaller amplitude.
1. Using the information given in the case, what is the frequency of the first sound wave?
2. The teacher now considers the second sound wave, whose frequency is twice that of the first wave. Since both waves travel through the same medium, what will be the wavelength of the second wave?
3. The second wave has a smaller amplitude than the first wave. Which conclusion can be made from this information?
4. The teacher asks students to compare the first and second waves. Which statement correctly describes their relationship?