What is the ratio of the intensities of an earthquake P wave passing through the

Question

What is the ratio of the intensities of an earthquake P wave passing through the Earth and detected at two points 15km and 44km from the source? Express your answer using two significant figures.   I44km/I15km = SubmitMy AnswersGive Up Part B What is the ratio of the amplitudes? Express your answer using two significant figures.   A44km/A15km = SubmitMy AnswersGive Up What is the ratio of the intensities of an earthquake P wave passing through the Earth and detected at two points 15km and 44km from the source? Express your answer using two significant figures.   I44km/I15km = SubmitMy AnswersGive Up What is the ratio of the intensities of an earthquake P wave passing through the Earth and detected at two points 15km and 44km from the source? Express your answer using two significant figures.   I44km/I15km = SubmitMy AnswersGive Up   I44km/I15km =   I44km/I15km = SubmitMy AnswersGive Up Part B What is the ratio of the amplitudes? Express your answer using two significant figures.   A44km/A15km = SubmitMy AnswersGive Up Part B What is the ratio of the amplitudes? Express your answer using two significant figures.   A44km/A15km = SubmitMy AnswersGive Up   A44km/A15km =   A44km/A15km = SubmitMy AnswersGive Up   I44km/I15km =

Explanation / Answer

a) If we assume the energy spreads out equally in all directions, the intensity obeys the inverse square law.

Distance increases by a factor of 44/15 = 2.93

Intensity reduces by 2.93^2= 8.58 (=8 to 2 significant figures)

Ratio of intensities is 1/8

(b) The intensity is proportional to amplitude squared, so amplitude is proportional to the square root of intensity. ?8 = 2.828

Ratio of amplitudes is 1/2.828

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