A U-tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water. Is poured into one side until it stands at a distance of `10 mm` above the water level on the other side. Meanwhile the water rises by `65mm` from its original level (see diagram). The density of the oil is:

Options

A. `650 kg m^(-3)`
B. `425 kg m^(-3)`
C. `800 kg m^(-3)`
D. `928 kg m^(-3)`

Answer

D

Explanation

Pressure at B= Pressure at C `(65+65+10)rho_(oil)g=(65+65)rho_(w)g`
or `140 rho_(oil)=130xxrho_(w)`
or `rho_(oil)=(13)/(14)rho_(w) =(13)/(14)xx10^(3)kg//m^(3)`
`=928 kg//m^(3)`