The intensity of an earthquake wave passing through the Earth is measured to be 2.5 10^6 J/m^2 at...

Question:

The intensity of an earthquake wave passing through the Earth is measured to be 2.5 10{eq}^6 {/eq} J/sm{eq}^2 {/eq} at a distance of 48 km from the source. What was its intensity when it passed a point only 2.0 km from the source? At what rate did energy pass through an area of 3.0 m{eq}^2 {/eq} at 2.0 km?

Intensity:

Intensity of a wave at a point is defined as the power transferred per unit area, where the area is considered in the direction perpendicular to the direction of propagation of the wave. Mathematically, the intensity at a distance {eq}r {/eq} from a isotropic source of power {eq}P {/eq} is given by, {eq}\displaystyle I = \dfrac{P}{4 \pi r^2} {/eq}

Answer and Explanation: 1

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Given :

  • The intensity of the wave at a distance {eq}r_2 = 48 \ km {/eq} form the source is, {eq}I_2 = 2.5 \times 10^6 \ J/sm^2 {/eq}


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Intensity in Physics: Definition & Measurement

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Chapter 5 / Lesson 10
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This lesson explains what wave intensity in physics is, and it explains the intensity of light formula with examples. This lesson also describes how to calculate intensity of sound waves.


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