Question

A sphere contracts in volume by 0.02% when taken to the bottom of a sea 2km deep. Find the value of bulk modulus of the material of the sphere. Density of sea water `1g//c c,g=10ms^(-2)`.

Answer 1

Here, `(Delta V)/(V) = -(0.02)/(100)`
`h=2 km =2 xx 1000 m`
Density of sea water = `1g//c c = 10^(3) kg//m^(3)`
Pressure applied, `p=h rho g`
`=(2 xx 1000) xx 10^(3) xx 10 Nm^(-2)`
Bulk modulus, `B=(p)/(Delta V//V) = -(2 xx 1000 xx 10^(3) xx 10)/((-0.02//1000))`
`=10^(11)Nm^(-2)`.