In a longitudinal stationary wave

Question

Smart Achievers · Accepted Answer

(4)

A pressure node is a displacement anti-node and displacement node is a pressure anti-node. $Δ P = - B \frac{\partial y}{\partial x}$ . At displacement nodes, $\frac{\partial y}{\partial x}$ is both maximum and minimum.

Solution

Q.
In a longitudinal stationary wave

1 There is maximum transfer of energy across displacement nodes

2 Maximum increase of pressure occurs at displacement antinodes

3 Maximum decrease of pressure occurs at displacement antinodes

4 The pressure at displacement antinodes is same as what it would be in absence of the wave

Ans.
(4)

A pressure node is a displacement anti-node and displacement node is a pressure anti-node. $Δ P = - B \frac{\partial y}{\partial x}$ . At displacement nodes, $\frac{\partial y}{\partial x}$ is both maximum and minimum.

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