Question

A tank 5 m high is half - filled with water and then is filled to the top with oil of density $0.85g/c{m}^3$. The pressure at the bottom of the tank, due to these liquids is:-

• A. $1.85gdyne/c{m}^2$
• B. $89.25gdyne/c{m}^2$
• C. $462.5gdyne/c{m}^2$
• D. $500gdyne/c{m}^2$

Answer 1

The correct option is C $462.5gdyne/c{m}^2$

Given that,

Total height of tank = $5m$

Density of water ${\rho }_1=1g/c{m}^3$

Density of oil ${\rho }_2=0.85g/c{m}^3$

We know that,

Half tank filled with water and half tank filled with oil.

So, $h_1=h_2=2.5m=250cm$

The pressure at the bottom of the tank is

$P=h_1{\rho }_{1}g+h_2{\rho }_{2}g$

$P=g(250\times 1+250\times 0.85)$

$P=462.5gg/c{m}^2$