Question

A tank is filled by liquid of density $\rho$ upto height $H$. The average pressure on the walls of container is:

• A. $\rho gH$
• B. $\frac{1}{2}\rho gH$
• C. $\frac{1}{4}\rho gH$
• D. $\frac{1}{8}\rho gH$

Answer 1

The correct option is B $\frac{1}{2}\rho gH$

R.E.F image

Let so consider liquid of

thickens de at height x

below the surface

$P=pgx$

$\int p_{mt}=P_{Total}={\int }_0^{H}pgx\left(dx\right)$

$p_{mt}=pg\frac{x^2}{2}{|}_0^H$

$p_{mt}=\frac{pg{H}^2}{2}$

$p_{avg}=\frac{p_{mt}}{H}=\frac{pgH}{2}$

So option (B)