Question

Water is filled in a container up to height $3\text{m}.$ A small hole of area '$a$' is punched in the wall of the container at a height $52.5\text{cm}$ from the bottom. The cross sectional area of the container is $A.$ If $\frac{a}{A}=0$; then $v^2$ is $($where $v$ is the velocity of water coming out of the hole$)$

• A. 50
• B. 51
• C. 48
• D. 51.5

Answer 1

The correct option is A 50

$\text{According to Torricelli's Theorem velocity of efflux i.e. the velocity with which the liquid}$
$\text{flows out of a hole is equal to}\sqrt{2gh}\text{where}h\text{is the depth of the hole below the liquid surface.}$
Here $h=300-52.5=247.5cm=2.475m$
$\Rightarrow v^2=2gh=2\times 10\times 2.475=49.5\approx 50$
Hence correct choice is 'A'.