The speed of sound in air and sea-water are given to be $340 m / s$ and $1440 m / s$ respectively. A ship sends a strong signal straight down and detects its echo after $1.5$ second. The depth of the sea at that point is

2.16 k m s

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1.08 k m s

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0.51 k m s

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0.255 k m s

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Solution

The correct option is C $1.08 k m s$
$V_{a i r} = 340 m / s, V_{w a t e r} = 1440 m / s$
Echo is the sound that we hear after reflection of sound wave from the reflecting surface.
i.e., total distance travel by sound wave $= 2 d$
velocity $= \frac{d i s t a n c e}{t i m e}$
$1440 = \frac{2 d}{1.5} \Rightarrow d = \frac{1440 \times 1.5}{2} = 1080.0 m = 1.08 k m s$
Hence, option $B$ is the correct answer.

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