Question

A cylindrical container of some area is filled with water upto height '$h$', then potential energy of water column is

• A. proportional to '$h$'
• B. proportional to '$h^2$'
• C. proportional to '$h^3$'
• D. proportional to '$h^0$'

Answer 1

The correct option is B proportional to '$h^2$'

$P.E.=mg\frac{h}{2}=\rho \left(Ah\right)g\frac{h}{2}=\frac{\rho Ag{h}^2}{2}$
$P.E\propto h^2$