Find the amplitude of the vibration of the particles of air through which a sound wave of intensity `2.0xx10^-6Wm^-2` and frequency 1.0kHz is passing. Density of air =1.2 kgm^-3 and speed of sound in air `=330 ms^-1`.

Explanation

To find the amplitude of the vibration of the particles of air through which a sound wave is passing, we can use the relationship between intensity, amplitude, frequency, and density of the medium. Here’s a step-by-step solution:

### Step 1: Understand the formula for intensity
The intensity \( I \) of a sound wave can be expressed as:
\[ I = \frac{1}{2} \rho v \omega^2 S_0^2 \]
where:
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