A standing wave having 3 nodes and 2 antinodes is formed between two a...
Let be length of string
Hence, the wave length of standing wave
View all questions of this testA standing wave having 3 nodes and 2 antinodes is formed between two a...
A standing wave having 3 nodes and 2 antinodes is formed between two a...
In a standing wave, nodes are points where the displacement of the wave is always zero, while antinodes are points where the displacement of the wave oscillates between maximum positive and maximum negative values.
In this case, we have a standing wave formed between two atoms. Let's assume that the distance between the two atoms is 1.21 units (let's call it "x").
If the standing wave has 3 nodes, it means that there are 3 points along the distance x where the displacement of the wave is always zero. These nodes divide the distance x into 4 equal parts.
Similarly, if the standing wave has 2 antinodes, it means that there are 2 points along the distance x where the displacement of the wave oscillates between maximum positive and maximum negative values. These antinodes divide the distance x into 3 equal parts.
So, we can calculate the distance between each node or antinode by dividing x by the total number of nodes or antinodes, respectively.
Distance between each node = x/4
Distance between each antinode = x/3
Therefore,
Distance between each node = 1.21/4 = 0.3025 units
Distance between each antinode = 1.21/3 = 0.4033 units
Note: The units for the distance are not specified in the question.