A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by `0.01%.` The pressure applied on the liquid is

Options

A. `(k)/(10000)`
B. `(k)/(1000)`
C. `1000k`
D. `0.01 k`

Answer

A

Explanation

The bulk modulus `k = - (P)/((Delta V)/(V ))`
where `(Delta V)/(V ) ` is fractional change in volume and P is external pressure
`k = (-P)/((Delta V)/(V)) rArr (-Delta V)/(V) = P/k " or " P/k = (Delta rho)/(rho)`
` therefore P = (k Delta rho)/(rho) = (k xx 0.01)/(100) = (k)/(10000)`