In a stationary wave, the distance between consecutive nodes or antinodes is equal to half the wavelength (λ/2). To calculate the wavelength (λ) and the distance between the antinodes, we can use the given information:
Distance between two antinodes: 1.21 Number of antinodes: 2
To find the wavelength (λ), we can use the relationship:
Distance between consecutive antinodes = λ/2
Since we have the distance between two antinodes, we can multiply it by 2 to get the distance between consecutive antinodes:
Distance between consecutive antinodes = 1.21 * 2 = 2.42
Now, we know that the distance between consecutive antinodes is equal to half the wavelength:
2.42 = λ/2
To find the wavelength (λ), we multiply both sides by 2:
2.42 * 2 = λ
λ = 4.84
Therefore, the wavelength (λ) of the stationary wave is 4.84.
To find the distance between the antinodes, we multiply the distance between consecutive antinodes by the number of nodes between them:
Distance between antinodes = (Number of nodes + 1) * Distance between consecutive antinodes
In this case, we have three nodes between the two antinodes:
Distance between antinodes = (3 + 1) * 2.42 = 4 * 2.42 = 9.68
Therefore, the distance between the antinodes of the stationary wave is 9.68.