Question

The diagram (fig.) shows a venturimeter, through which water is flowing. The speed of water at a is 2 cm/sec. The speed of water at Y (taking $g=1000cm/se{c}^2$) is :-

• A. $23cm/sec$
• B. $32cm/sec$
• C. $101cm/sec$
• D. $1024cm/sec$

Answer 1

The correct option is B $32cm/sec$

The height difference between the points x and y is 5.1 mm

Therefore, the pressure difference between the 2 points will be,

$P=\rho gh$

$P=1\times 1000\times 0.51$

P = 510

Applying Bernoulli's theorem,

$\delta P+0.5\rho \delta v^2=0$

$\delta P=510$

$510=0.5\times 1\times (v_2^2-2^2)$

Hence, $v_2^2=1024or{v}_2=32cm/sec$