7. A standing wave is produced by reflecting a wave off a wall (which acts Eke a foced end). If the wave consists of 6 anti-nodes and 7 nodes and the wall is 12m away from the source. determine the wavelength.

Question

7. A standing wave is produced by reflecting a wave off a wall (which acts Eke a foced end). If the wave consists of 6 anti-nodes and 7 nodes and the wall is 12m away from the source. determine the wavelength.

Answer 1

Here's how to determine the wavelength:1. **Visualize the Standing Wave:** A standing wave with 6 antinodes and 7 nodes means there are 6 "bumps" and 7 points of no displacement. Since the wall is a fixed end, there must be a node at the wall.2. **Relate Antinodes/Nodes to Wavelength:** The distance between two adjacent nodes (or two adjacent antinodes) is half a wavelength (λ/2).3. **Calculate the Length of One "Loop":** The entire standing wave pattern consists of 6 loops (sections between adjacent nodes). Since the wall is 12m away from the source, the total length of the standing wave is 12m. Therefore, the length of one loop is 12m / 6 loops = 2m.4. **Determine Wavelength:** Since one loop represents half a wavelength, the full wavelength (λ) is twice the length of one loop: λ = 2 * 2m = 4m.**Therefore, the wavelength of the wave is 4m.**

Question

7. A standing wave is produced by reflecting a wave off a wall (which acts Eke a foced end). If the wave consists of 6 anti-nodes and 7 nodes and the wall is 12m away from the source. determine the wavelength.

Solution

Answer