Question

Water flows from pipe diameter $200\text{ mm}$ to $100\text{ mm}$. If velocity in larger pipe is $2\text{ m/s}$, find velocity in smaller pipe.

• A. $2\text{ m/s}$
• B. $4\text{ m/s}$
• C. $6\text{ m/s}$
• D. $8\text{ m/s}$

Hint:

Velocity is inversely proportional to the square of the diameter ($V \propto 1/D^2$).
If the diameter is halved ($200\text{ mm} \rightarrow 100\text{ mm}$), the velocity must increase by a factor of $2^2 = 4$.
$2\text{ m/s} \times 4 = 8\text{ m/s}$.

Answer 1

The Correct Option is D