Derive an expression for the intensity of the wave in terms of density of the medium, velocity of the wave, the amplitude of the wave and the frequency of the wave.
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Answer:
The amplitude of a sound wave can be quantified in several ways, all of which are a measure of the maximum change in a quantity that occurs when the wave is propagating through some region of a medium.
Amplitudes associated with changes in kinematic quantities of the particles that make up the medium
The displacement amplitude is the maximum change in position.
The velocity amplitude is the maximum change in velocity.
The acceleration amplitude is the maximum change in acceleration.
Amplitudes associated with changes in bulk properties of arbitrarily small regions of the medium
The pressure amplitude is the maximum change in pressure (the maximum gauge pressure).
The density amplitude is the maximum change in density.
Measuring displacement might as well be impossible. For typical sound waves, the maximum displacement of the molecules in the air is only a hundred or a thousand times larger than the molecules themselves — and what technologies are there for tracking individual molecules anyway? The velocity and acceleration changes caused by a sound wave are equally hard to measure in the particles that make up the medium.
Explanation:
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