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The intensity of an earthquake wave passing through the Earth is measured to be 2.0 ×
Chapter 11, Problem 47P(choose chapter or problem)
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?
Questions & Answers
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
- 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,