Mechanical Properties of Solids · Question 21

The fractional compression ( VV ) of water at the depth of 2.5 km below the sea level is %. Given, the Bulk modulus of water = 2 109 N m-2, density of water = 103 kg m-3, acceleration due to gravity g = 10 m s-2.

1. 1.0
2. 1.25
3. 1.75
4. 1.5

Answer

(2) 1.25

Solution

Extra pressure at depth h: p = g h = 103 10 2500 = 2.5 107 N m-2

B = p V / V VV = pB

VV = 2.5 1072 109 = 1.25 10-2

fractional compression = 1.25 \%

Answer: (2)