Physics - Fluid Question with Solution | TestHub

Two point are situated in a pipe and their height from ground is same

$\because$According Bernoulli's theorem,

$p+\rho gh+\frac{1}{2}\rho v^2=$constant

At a point pressure of water is$p$and speed of flow is$v$

therefore,$p+\frac{1}{2}\rho v^2=c$.....(i)

At another point speed of flow is$2v$therefore,

$p_1+\frac{1}{2}\rho {\left(2v\right)}^2=c$......(ii)

To find pressure$p_1$at another point, equating the equation (i) and (ii)

$\Rightarrow p+\frac{1}{2}\rho v^2=p_1+\frac{1}{2}\rho \left(4v^2\right)$

$\Rightarrow p_1=p-\frac{3}{2}\rho v^2$