Oil explorers set off explosives to make loud sounds, then listen for the echoes from underground oil deposits. Geologists suspect that there is oil under 485-m-deep Lake Physics. It's known that Lake Physics is carved out of a granite basin. Explorers detect a weak echo 0.920 s after exploding dynamite at the lake surface.

Question

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Manetho Manetho · Answer 1 · 2019-12-05T09:45:33+01:00

Answer:

d=810 m

Explanation:

The question has been solved keeping in mind the we have determine the length of Granite layer.

Speed of sound in water = approximately 1480 m/s

Speed of sound in granite = approximately 6000 m/s

After explosion the sound travels through water. The time taken is:

t= distance traveled/ velocity of sound in water

[tex]t= d/v= \frac{485}{1480}[/tex]

t= 0.325 s

Now time the sound travels in one way is half the total time.

time of sound to the oil plus the time of the echo back up

therefore,

ta= 0.920/2= 0.460 sec

Therefore, The time traveled by the sound through the granite basin

= 0.460-0.325= 0.135 sec

Then, the length of the granite layer is

d= v×ta

d= 6000×0.135= 810 m

d=810 m