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Mechanical Properties of Fluids
Question
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Explain why (or how):

(a) In a sound wave, a displacement node is a pressure antinode and vice versa,

Answer

A node (N) is a point where the amplitude of vibration is the minimum and pressure is the maximum. 
An antinode (A) is a point where the amplitude of vibration is the maximum and pressure is the minimum.  
Therefore, a displacement node is nothing but a pressure antinode, and vice versa. 

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