Two progressive sound waves each of frequency 170Hz and travelling in opposite directions in air superpose to produce stationary waves.
The speed of sound in air is 340 m`//`s. What is the
(i) separation between two successive nodes?
(ii) separation between two successive antinodes?
(iii) separation between a node and nearest antinode?

Explanation

Here, `v=170Hz, upsilon=340m//s`
`lambda=(upsilon)/(v)=(340)/(170)=2m`
`:.` Distance between two successive nodes
`=(lambda)/(2)=(2)/(2)=1m`
Distance between two successive antinodes
`=(lambda)/(2)=(2)/(2)=1m`
Distance between a node and nearest antinode
`=(lambda)/(4)=(2)/(4)=0.5m`