Compressional wave pulse are sent to the bottom of sea from a ship and the echo is heard after 2s. if bulk modulus of elasticity of water is $2 imes 10^{9}Nm^{- 2}$and mean temperature is 4°C, the depth of the sea will be

Question

Compressional wave pulse are sent to the bottom of sea from a ship and the echo is heard after 2s. if bulk modulus of elasticity of water is $2 	imes 10^{9}Nm^{- 2}$and mean temperature is 4°C, the depth of the sea will be

Dr. Abubacker · Accepted Answer

(b) The speed of sound (longitudinal waves) in water is given by
$v = \sqrt{\frac{B}{d}}$
Where B is bulk modulus of water and d is density
Given, $B = 2 	imes 10^{9}Nm^{- 2},\ \ \ d = 10^{3}kgm^{- 3}$
$v = \sqrt{\frac{2 	imes 10^{9}}{10^{3}}} = 1.414 	imes 10^{3}$
$= 1414\ {ms}^{- 1}$
When sound travels back to the observer, it cover’s twice the distance. So, time of echo.
$t = \frac{2d}{v}\ \ \ $
$	herefore\frac{tv}{2} = \frac{1414 	imes 2}{2} = 1414\ m$

Q. Compressional wave pulse are sent to the bottom of sea from a ship and the echo is heard after 2s. if bulk modulus of elasticity of water is $2 \times 10^{9}Nm^{- 2}$and mean temperature is 4°C, the depth of the sea will be

Explanation

Reviewed by Dr. Abubacker

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