The intensity of an earthquake wave passing through the Earth is measured to be 2.0 ×

Chapter 11, Problem 47P

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QUESTION:

Problem 47P

The intensity of an earthquake wave passing through the Earth is measured to be 2.0 × 106 J/m2· s at a distance of 48 km from the source. (a) What was its intensity when it passed a point only 1.0 km from the source? (b) At what rate did energy pass through an area of 5.0 m2 at 1.0 km?

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QUESTION:

Problem 47P

The intensity of an earthquake wave passing through the Earth is measured to be 2.0 × 106 J/m2· s at a distance of 48 km from the source. (a) What was its intensity when it passed a point only 1.0 km from the source? (b) At what rate did energy pass through an area of 5.0 m2 at 1.0 km?

ANSWER:

Solution

Step 1 of 2

  1. We need to find out the intensity of the earthquake when it passed a point only  from the source.

If we consider  spherically symmetric waves then the intensity will be inversely proportional to the square of the distance from the source so we can write,

Implies,


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