Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveEquation/Relation between Displacement & excess pressureHard2 minPYQ_2020
PhysicsHardsingle choice

The air column in a pipe closed at one end is made to vibrate in its second overtone by a tuning fork of frequency440 Hz. The speed of the sound in air is330 m s-1. End corrections may be neglected. LetP0denote the mean pressure at any point in the pipe and∆P0the maximum amplitude of pressure variation then the amplitude of pressure variation in the middle of the column is

Options:

Answer:
A
Solution:

P=∆P0sin⁡2πxλ

For the second overtoneL=5λ4

At x=L2=5λ8

Pressure amplitude at middle

p=∆P0sin⁡2πλ5λ8

∆P0sin⁡5π4=∆P02

Stream:JEESubject:PhysicsTopic:Sound WaveSubtopic:Equation/Relation between Displacement & excess pressure
⏱ 2mℹ️ Source: PYQ_2020

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