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A SONAR device installed in a submarine picks signals from an enemy submarine over time, $200 s$ . If the speed of sound in seawater is $1450 m /$ s. What is the distance between the submarine and the enemy submarine?

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143 km

144 km

145 km

146 km

answer is C.

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Detailed Solution

The distance between the submarine and the enemy submarine is

145 km

.
Given,
Time interval of sound waves coming back after reflection from the enemy submarine,

t = 200 s

And the speed of sound in seawater,

v = 1450 m / s

Then the distance of the submarine from the enemy ship,

d = \frac{vt}{2}

Where

v

is the speed of the sound in seawater and

t

is time.

\Rightarrow \frac{1450 \times 200}{2}

\Rightarrow 145000 m

We will convert ‘

m

’ into ‘

km ’

\Rightarrow \frac{145000}{1000}

\Rightarrow 145 km

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