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A Sonar device on a submarine sends a signal and receives an echo $5 s$ later. Which of the following options is correct for the speed of sound in water if the object's distance from the submarine is $3625 m$ ?

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1450 m / s

1400 m / s

1500 m / s

1425 m / s

answer is A.

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Detailed Solution

The speed of sound in water is

1450 m / s

.
Given:
Time interval between transmission and receiving of echo

= 5 s

Time taken by the signal to travel from submarine to object,

t = \frac{5}{2} s

And the distance of the object from submarine,

d = 3625 m

Now, it is known that,

Speed = \frac{Distance}{Time taken}

On substituting the given values, we get the speed of sound in water as

\Rightarrow v = \frac{3625}{(\frac{5}{2})}

\Rightarrow v = 3625 \times (\frac{2}{5})

\Rightarrow v = 1450 m / s

Hence, the speed of sound in water is

1450 m / s

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