Question

A longitudinal wave sent by a ship to the bottom of the sea returns after 2.64 s. Elasticity of water is 2.2*10^9 and density is 1.1 gc/c the depth of sea is

Answer 1

The depth of sea is 1866.48 meters.

Explanation:

Modulus of elasticity, E = 2.2 x 10⁹

Density of water, ρ = 1.1 gcc = 1100 kg/m³

Hence velocity of wave in water ,

v = √(E/ρ)

= √(2.2 x 10⁹/1100)

= 1414 m/s

Let the depth of the sea = d

Hence the distance = 2d

Hence,

2d = vt

=> 2d = 1414 x 2.64 = 3732.96

=> d = 1866.48 m

Hence the depth of sea is 1866.48 meters.