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24 March, 07:39

Geologists use explosives to map subterranean. The time for the reflected waves to arrive at a monitoring station can tell a great deal about the composition of the rock structures. suppose the time it takes for a wave that is reflected from the interface of 1 and 2 is 2s, and the time for another wave that is reflected between 2 and 3 is 2.5s, and the speed of the wave in layer 1 is 6 km//s and in layer 2 is 4 km/s, then how thick is layer 2?

a.) 1 km

b.) 8 km

c.) 3 km

d.) 2 km

e.) 6 km

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Answers (2)
  1. 24 March, 10:47
    0
    I think the answer is e
  2. 24 March, 11:19
    0
    1 km

    Explanation:

    The round-trip time through layer 1 is given as 2 seconds. The total of round-trip times through layers 1 and 2 is 2.5 seconds, so the round-trip time through layer 2 is ...

    2.5 s - 2.0 s = 0.5 s

    Then the one-way time through layer 2 is 0.5/2 = 0.25 s. The distance traveled by the wave in that time is ...

    distance = speed * time = (4 km/s) * (0.25 s) = 1.0 km

    Layer 2 is 1 km thick.
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