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Part A
What is the ratio of the intensities of an earthquake P wave passing through the Earth and
detected at two points 13km and 42km from the source?
Express your answer using two significant figures.
Part B
What is the ratio of the amplitudes?
Express your answer using two significant figures.
Solution
we know that, intensity I = P/A = P/4?r2
from this equation if power (P) is same then
intensity of two sound waves ratio can be write as
I1/I2 =r22/r12 .................... (1)
A)
I27/I13 = (13 km)2/(42 k)2
= 0.0958
B)
intesity (I) is proportional to square of the amplitude ,
i.e. , I ? A2
I1/I2 = (A1/A2)2
(A1/A2) = (I1/I2)1/2
therefore ,
A45 /A13 = (I45/I13)1/2
= (0.0958)1/2
= 0.31

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Part AWhat is the ratio of the intensities of an earthquake P wave.pdf

  • 1. Part A What is the ratio of the intensities of an earthquake P wave passing through the Earth and detected at two points 13km and 42km from the source? Express your answer using two significant figures. Part B What is the ratio of the amplitudes? Express your answer using two significant figures. Solution we know that, intensity I = P/A = P/4?r2 from this equation if power (P) is same then intensity of two sound waves ratio can be write as I1/I2 =r22/r12 .................... (1) A) I27/I13 = (13 km)2/(42 k)2 = 0.0958 B) intesity (I) is proportional to square of the amplitude , i.e. , I ? A2 I1/I2 = (A1/A2)2 (A1/A2) = (I1/I2)1/2 therefore , A45 /A13 = (I45/I13)1/2 = (0.0958)1/2 = 0.31