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A ship in a sea sends SONAR waves straig...

A ship in a sea sends SONAR waves straight down into the seawater from the bottom of the ship. The signal reflects from the deep bottom bed rock and returns to the ship after 3.5 s. After the ship moves to 100 Km it sends another signal which returns back after 2s. Calculate the depth of the sea in each case and also compute the difference in height between two cases.

Text Solution

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Velocity of SONAR waves in water C `=1500 ms^(-1)`
Time taken by be wave after reflection from the bottom of sea
2t = 3.5 s
t=1.75 s
Distance covered (d)=?
`C=d/t rArr d=c.t = 1500 xx 1.75 2625`m
After moving 100 km
The time taken by the wave =2t=2s
t =`2/2 =1 s`
d=?
`d= 1500 xx 1=1500`
The different between these
two heights `=2625 - 1500`
=1125 m
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