Question

A tank $5m$ 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. $1.85g/{cm}^2$
• B. $89.25g/{cm}^2$
• C. $462.5g/{cm}^2$
• D. $500g/{cm}^2$

Answer 1

Answer: (C)

$462.5g/{cm}^2$

Given,

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

So, $h_1=h_2=\frac{5}{2}=2.5m=250cm$

Pressure at the bottom of the tank is

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

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

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