Question

A liquid X of density $8.36g/c{m}^3$ is poured in a U-tube in right arm with height 10 cm, which contains Hg. Another liquid Y is poured in left arm with height 8 cm. Upper levels of X and Y are same. What is the density of Y ?

• A. 0.8 g/cc
• B. 12 g/cc
• C. 7 g/cc
• D. 1.6 g/cc

Answer 1

The correct option is C 7 g/cc

The pressure due to Y and 2cm column of mercury is same as the pressure exerted by X

${\rho }_y{h}_{y}g+2{\rho }_{mercury}g={\rho }_x{h}_{y}g$

${\rho }_y\times 8+2\times 13.6=8.36\times 10$

${\rho }_y=7.05g/cc$