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 andP0the maximum amplitude of pressure variation then the amplitude of pressure variation in the middle of the column is

Options:

Answer:
A
Solution:

P=P0sin2πxλ

For the second overtoneL=5λ4

At x=L2=5λ8

Pressure amplitude at middle

p=P0sin2πλ5λ8

P0sin5π4=P02

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

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