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Chapter 16: Q. 48 (page 452)

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 500-m-deep Lake Physics. It鈥檚 known that Lake Physics is carved out of a granite basin. Explorers detect a weak echo 0.94 s after exploding dynamite at the lake surface. If it鈥檚 really oil, how deep will they have to drill into the granite to reach it?

Short Answer

Expert verified

They have to drill793m into the granite to reach the oil.

Step by step solution

01

Given information

A dept at which oil is present inside the Lake Physics is dlake=500m

The speed of sound in water is vwater=1480m/s

The speed of sound in granite isvgranite=6000m/s

02

 Find dgranite.

The explosive鈥檚 sound travels down the lake and into the granite, and then it is reflected by the oil surface.

The echo time is thus equal to

techo=twaterdown+tgranitedown+tgraniteup+twaterup0.94=5001480+dgranite6000+dgranite6000+50014800.94-25001480=2dgranite6000dgranite=793m

Therefore, they have to drill 793minto the granite to reach the oil.

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