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The Longitudinal Displacement of a Mass Element in a Medium

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The longitudinal displacement of a mass element in a medium as a sound wave passes through it is given by s = sm cos (kx - ωt) .Consider a sound wave of frequency 440 Hz and wavelength 0.75m.If sm = 12 µm, how long does it take an element of air to move from a displacement of 12 µm to a displacement of 0 µm?

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Definitions:

Elastic

Describes a situation in which the demand for a product is sensitive to price changes; a small price change results in a significant change in quantity demanded.

Demand Schedule

A demand schedule is a table that shows the quantity of a good or service that consumers are willing to purchase at various price points.

Slope

The measure of steepness or incline, typically describing the change in the vertical over the change in the horizontal.

Price Elasticity

A measure of how the quantity demanded of a good or service changes in response to changes in its price, indicating the sensitivity of consumers to price changes.

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