Question

Water is flowing at the rate of $500{\text{cm}}^3/\text{sec}$ in a horizontal pipe of uniform cross-section area of $25{\text{cm}}^2$. The velocity of flow of water in $\text{cm/s}$ is

• A. $25\text{cm/sec}$
• B. $15\text{cm/sec}$
• C. $20\text{cm/sec}$
• D. $50\text{cm/sec}$

Answer 1

The correct option is C $20\text{cm/sec}$

Given, rate of flow $\left(Q\right)=500{\text{cm}}^3/\text{sec}$
Area of cross-section of pipe $\left(A\right)=25{\text{cm}}^2$
Let the velocity of flow of water $=v$
We know,
$Q=A\times V$
$\Rightarrow 500=25\times v$
$\Rightarrow v=20\text{cm/sec}$