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The U-tube in figure contains two differ...

The U-tube in figure contains two different liquids in static equilibrium, water in the right arm and oil of unknown density `rho_(x)` in the left. If/=135 mm and d=15 mm. Density of the oil is

A

`1000 kg m^(3)`

B

`920 kg m^(3)`

C

`895 kg m^(3)`

D

`900 kg m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
If the pressure at the oil-water interface in the left-arm is p, then the pressure in the right arm at the level of the interface will also be p.
In the left arm,
`p=p_(0)+rho_(x)g(l+d)`
in the right arm,
`p=p_(0)+rho_(w)gl`
Equating (i) and (ii)
`rho_(x)=(l)/(l+d)rho_(w)=(135 m m)/(135 m m+15 m m)xx1000 kgm^(-3)=900 kgm^(-3)`
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