calculate the distance between 1st node and 5th node of stationary wave in terms of λ
Answers
Answer:
Let us consider a transverse wave for convenience, although this point is applicable for longitudinal wave also.
We know that a transverse wave consists of crests and troughs.
We also know that the distance between two successive crests or troughs is one wavelength i.e. one λ.
In a stationary wave, at the places where a crest or a trough is formed, the particles vibrate with maximum amplitude. Such a place is called an antinode.
We know that the distance between a crest and a successive trough is half wavelength i.e.
2
λ
.
Hence the distance between two successive antinodes is
2
λ
.
Exactly at the centre in between two adjacent antinodes there are particles which appear to be stationary. They vibrate with minimum amplitude.
Hence the distance between a node and its adjacent antinode is
4
λ
.