Q145 / 160 · TS EAMCET 2012 · Physics
A pipe having an internal diameter $D$ is connected to another pipe of same size. Water flows into the second pipe through ' $n$ ' holes, each of diameter $d$. If the water in the first pipe has speed $v$, the specd of water leaving the second pipe is
- Correct answerA$\frac{D^2 v}{n d^2}$
- B$\frac{D^2 v}{d^2}$
- C$\frac{n d^2 v}{D^2}$
- D$\frac{d^2 v}{\pi d^2}$
Solution
$\pi\left(\frac{D}{2}\right)^2 X v=n\left(\frac{d}{2}\right)^2 X v^{\prime}, \quad v^{\prime}=\frac{D^2 v}{n d^2}$
Hence, the correct answer is option: 'A'.