Question

A liquid is filled upto a height of $20m$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $g=10m{s}^{-2}$).

• A. $1.2m{s}^{-1}$
• B. $1m{s}^{-1}$
• C. $2m{s}^{-1}$
• D. $3.2m{s}^{-1}$
• E. $1.4m{s}^{-1}$

Answer 1

The correct option is C $2m{s}^{-1}$

Given, $h=20cm,=0.2m$
and $g=10m{s}^{-2}$
We know that,
$v=\sqrt{2gh}$
Speed of liquid coming out of small hole,
$\Rightarrow v=\sqrt{2\times 10\times 0.2}=2m{s}^{-1}$.