Question

A stationary wave is set up in a pipe of length L, which is is open from one end. There are three nodes. How many antinodes are there in the stationary wave?

Options

A
2
B
3
C
4
D
6

Explanation

Nodes and antinodes are the same in close pipe.

Incorrect as per formula

In a stationary wave formed in a pipe open at one end, the nodes occur at the closed end (since there is no displacement at the closed end) and the antinodes occur at the open end (since there is maximum displacement at the open end).

Given that there are three nodes, we know that there are four segments or quarter-wavelengths in the pipe, each containing a node and an antinode.

So, if there are three nodes, then there are three quarter-wavelengths. Each quarter-wavelength contains one node and one antinode.

Therefore, in total, there are three antinodes in the stationary wave.

Incorrect as per formula