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 on both sides are equal
`P_1 = P_2`
`h_("oil")rho_("oil") g=h_("water")rho_("water")g`
`rho_("oil")= ([65+65]1000)/([65+65 +10])` = 928 kg/`m^3`.