What must be the pressure amplitude in a sound wave in the air (0∘c) if the air molecules undergo a maximum displacement equal to the diameter of an oxygen molecule, about 3.0⋅10−10m?

Pressure amplitude,

Explanation:

It is given that,

The maximum displacement equal to the diameter of an oxygen molecule,

Speed of sound at 0 degrees is, v = 331.5 m/s

The pressure amplitude for the longitudinal wave is given by :

Where

is the density of air,

f is the frequency say 59 Hz

So, pressure amplitude is given by :

So, the pressure amplitude in a sound wave in the air must be . Hence, this is the required solution.

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