A sonar device on a submarine sends out a signal and receives an echo $5 s$ later. Calculate the speed of sound in water if the distance of the object from the submarine is $3625 m$ .

$1250 m s^{- 1} .$

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$1350 m s^{- 1} .$

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$1450 m s^{- 1} .$

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$1550 m s^{- 1} .$

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Solution

The correct option is C
$1450 m s^{- 1} .$

Time taken to hear the echo, $t = 5 s$
Distance of the object from the submarine, $d = 3625 m$
Total distance travelled by the sonar waves during the transmission and reception in water = $2 d$
Velocity of sound in water, $v = \frac{2 d}{t} = 2 \times \frac{3625}{5} = 1450 m s^{- 1} .$

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A sonar device on a submarine sends out a signal and receives an echo 5 s later. Calculate the speed of sound in water if the distance of the object from the submarine is 3625 m.

The correct option is C 1450 ms−1. Time taken to hear the echo, t = 5 s Distance of the object from the submarine, d = 3625 m Total distance travelled by the sonar waves during the transmission and reception in water = 2d Velocity of sound in water, v=2dt=2×36255=1450 ms−1.

A sonar device on a submarine sends out a signal and receives an echo $5 s$ later. Calculate the speed of sound in water if the distance of the object from the submarine is $3625 m$ .