For a constant hydraulic stress on an object, the fractional change in the object's volume `((triangleV)/(V))` and its bulk modulus (b) are related as

Options

A. `(triangleV)/(V)propB`
B. `(triangleV)/(V)prop(1)/(B^-2)`
C. `(triangleV)/(V)propB^2`
D. `(triangleV)/(V)prop(1)/(B)`

Answer

D

Explanation

When strain is small the ratio of the normal stress to the volume strain is called the bulk modulus of the material of the body.
`B=(normal stress)/(volumestrai n)`
`B=-(triangleP)/((triangleV)/(V))`
`Bprop(1)/((triangleV)/(V))implies(triangleV)/(V)prop(1)/(B)`