Question

The longitudinal waves starting from a ship returns from the bottom of the sea to the ship after 2.64 seconds. If the bulk modulus of water be 220kg/mm2 and density 1.1*10to the power 3 kg/m3 then calculate the depth of the sea
g=9.8N/kg

Answer 1

Answer: The depth of the sea is 1848 m

Explanation:

Given that,

Bulk modulus $K = 220 kg/mm^{2}$

Time $t = 2.64 sec$

Density $\rho = 1.1\times10^{3} kg /m^{3}$

We know that,

The velocity is

$v = \sqrt{\dfrac{K}{\rho}}$

$v = \sqrt{\dfrac{220\times9.8 N/ m^{2}}{10^{-6}\times 1.1\times10^{3}kg/m^{3}}}$

The depth of the sea is

$2d = v\times t$

$d = \sqrt{\dfrac{220\times9.8 N/ m^{2}}{10^{-6}\times 1.1\times10^{3}kg/m^{3}}} \times 1.32s$

$d = 1848 m$

Hence, the depth of the sea is 1848 m.