A `U`-tube is held in a vertical plane such that its two limbs are vertical with middle portion horizontal as shown in the figure. Three liquids `A`, `B` and `C` are poured into it and in steady state their interfaces are as shown in the figure. Which of the following statements are correct?

Options

A. Height of column of liquid `A` is greater than that of `C`.
B. Density of liquid `A` is less than that of liquid `C`.
C. Density of liquid `B` is maximum among these three liquids.
D. Pressure at `R` is greater than that at `S`.

Answer

B, C

Explanation

Since the liquids are instatic equilibrium, pressure at `R=` pressure at `S`. Since liquid `A` is above liquid `B`, density of liquid `A` is less than that of `B`. Similarly density of liquid `C` is less three liquids. Hence option `c` is correct. ltbr. Since `T` is at lower leve than `Q` the pressure exerted by `C` is greater than that exerted by A`. It is possible only when density of liquid `A` is less than that of `C`.Hence, option `b` is correct.