A manometer connected to a closed tap reads 3.5 × 10 5 N/ m 2 . When the valve is opened, the reading of manometer falls to 3.0 × 10 5 N/ m 2 , then velocity of flow of water is Options: A . &nbsp 100 m/s B . &nbsp 10 m/s C . &nbsp 1 m/s D . &nbsp 10 .10m/s

A manometer connected to a closed tap reads 3.5 × 105 N/m2. When the valv

Discussion Forum : Mechanical Properties Of Fluids

Question -

A manometer connected to a closed tap reads 3.5 $\times$ $10^{5}$ N/ $m^{2}$ . When the valve is opened, the reading of manometer falls to 3.0 $\times$ $10^{5}$ N/ $m^{2}$ , then velocity of flow of water is

Options:

A . 100 m/s

B . 10 m/s

C . 1 m/s

D . 10 .10m/s

Answer: Option B
:
B

Bernoulli's theorem for unit mass of liquid

$\frac{P}{ρ} + \frac{1}{2} v^{2}$ = constant

As the liquid starts flowing, it pressure energy decreases $\frac{1}{2} v^{2} = \frac{P_{1} - p_{2}}{ρ} \Rightarrow \frac{1}{2} v^{2} = \frac{3.5 \times 10^{5} - 3 \times 10^{5}}{10^{3}}$
$\Rightarrow v^{2} = \frac{2 \times 0.5 \times 10^{5}}{10^{3}} \Rightarrow v^{2} = 100 \Rightarrow v = 10 m / s$

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