Find the change in volume, which 1 m3 of water will undergo when taken from the surface of bottom of - Physics - Mechanical Properties Of Solids

Question

Find the change in volume, which 1 m3 of water will
undergo when taken from the surface of bottom of sea 1 km deep
Given the elasticity of water is 20,000 atm

Somnath physics · Accepted Answer

Here,
Let ΔV be the change in volumeh = 103
mV0 = 1 m3B = 20,000 atm =
2×109 pa
We have
B = σ/(ΔV/V0)
Pressure at a depth of 1000 m will be, P = hρg =
103×103×9 8 = 9
8×106 pa
Assuming the volume to be cubicA
= 1m2σ
= 9 8×106/1ΔV
= (σV0)/B
= 9 8×106×1/(2×109)
= 4 9×10-3
= 5×10-3 m3

Find the change in volume, which 1 m3 of water will undergo when taken from the surface of bottom of sea 1 km deep. Given the elasticity of water is 20,000 atm.

Find the change in volume, which 1 m³ of water will undergo when taken from the surface of bottom of sea 1 km deep. Given the elasticity of water is 20,000 atm.