Standing sound waves are produced in a pipe that is 0.8 m long, open at one end, and closed at th other. For the fundamental and first two overtone, where along the pipe (measured from the closed end) are (a) the displacemental antinodes (b) the pressure antinodes.

Standing sound waves are produced in a pipe that is 0.8 m long, open a

1.	Standing sound waves are produced in a pipe that is 0.8 m long, open at one end, and closed at th other. For the fundamental and first two overtone, where along the pipe (measured from the closed end) are (a) the displacemental antinodes (b) the pressure antinodes.
Answer» Solution : (a) In second FIGURE, `l = (3 lambda)/(4)` `:. (lambda)/(4) = (l)/(3) = (0.8)/(3)` `= 0.267 m` DISPLACEMENT ANTINODE is at `x = (lambda)/(4) = 0.267 m` and `x = 3(lambda)/(4) = 0.8m` (b) Pressure antinode is displacement node: In THIRD figure, Pressure antinode or displacement node is at `x = 0`, `x = (lambda)/(2)` and `x = lambda`