Sound waves were sent down from a ship and they returned after 2 … - Vidyadip

MCQ

Sound waves were sent down from a ship and they returned after $2$ seconds. What is the depth of the sea, if the speed of sound in water is $1.5\ km s^{-1}\ ?$

A
$150\ m$
B
$3\ km$
✓
$1.5\ km$
D
$750\ m$

✓

Answer

Correct option: C.

$1.5\ km$

Let the depth of the sea $= x$ The time taken by sound wave to go down and then return to the ship $= 2s$
$\therefore$ The distance travelled by the sound wave $= x \div x = 2x$ Speed of sound $(v) = 1.5\ kms$ As distance $=$ speed $\times$ time, $2x = 1.5 \times 2, x = 1.5\ km.$

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