The intensity of sound from a point source is 1 ·0 ×10^-8 W m^-2 at a distance of 5 ·0 m from

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The intensity of sound from a point source is 1 ·0 ×10^-8 W...

The intensity of sound from a point source is $1 \cdot 0 \times 10^{-8} \mathrm{~W} \mathrm{~m}^{-2}$ at a distance of $5 \cdot 0 \mathrm{~m}$ from the source. What will be the intensity at a distance of $25 \mathrm{~m}$ from the source?

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Key Concepts

Sound Intensity

Sound intensity refers to the amount of sound energy transmitted per unit time through a unit area. It is a measure of the power carried by sound waves and is typically expressed in watts per square meter (W/m²). This concept is fundamental in acoustics and is used to quantify how much energy is delivered by a sound source at a specific location.

Inverse Square Law

The inverse square law describes how a physical quantity or intensity decreases as the distance from its source increases. Specifically, for a point source, the intensity of sound is inversely proportional to the square of the distance from the source. This occurs because the sound energy spreads out over the surface of a sphere, the area of which increases with the square of the radius, leading to a decrease in energy per unit area as distance increases.

Point Source

A point source is an idealized model in which the dimensions of the source are negligible compared to the distances involved. It is assumed that all the emitted energy originates from a single point in space. This simplification allows for the application of the inverse square law in calculating how the intensity of phenomena like sound, light, or other radiative energies diminishes with distance.

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