Concept explainers
If you decrease your distance from the source of a sound by half, by what factor will the intensity of the sound increase? Explain.
Answer to Problem 49PPE
4
Explanation of Solution
Given information:
The intensity of a sound s varies inversely with the square of the distance d from the sound.
This can be modeled by the equation
Concept Used:
- Mathematically relationship between two variables that can be expressed by an equation in which one variable is equal to constant times the other variable is called direct variation.
- Mathematically relationship between two variables that can be expressed by an equation in which the product of two variables is constant is called inverse variation.
Calculation:
According to question s varies inversely with the square of the distance d.
As distance from the source of a sound decrease by half
The decreased distance =
where k is constant and
so the intensity of the sound increases 4 times.
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