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A body wave (P or S) wave (one wavefront is shown below) is traveling across a g

ID: 1406359 • Letter: A

Question

A body wave (P or S) wave (one wavefront is shown below) is traveling across a geophone array at an

apparent velocity of 150 m/s and has a dominant frequency of 5 Hz. The wave is exiting the earth at a

45 degree angle (arrow, below).

The geophones are spread, left-to-right, separated from each other by distances of 5 m

1:What is the dominant wavelength?

2:What is the phase difference in the arriving signal between the first and fourth geophone. Assume a

harmonic wave (one frequency and one wavelength).

Please explain how you got this!

Explanation / Answer

use the formula or the relation between speed v , frequency f and wavelength L as

V = Lf

so

dominant wavvelength L = V/f = 150/5 = 30 m

---------------------------------

use the formula for the relation between phase difference and path length as

Phase diff = 2pi/L times of path diff


phase diff = (2*3.14/50) * (4-1)

phase diff = 0.376 radians

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