b
(b)
Solution by using Bernoulli's principle and equation of continuity Comparing points $A$ and $B$
$A_A V_A=A_B V_B$ {equation of continuity}
$\because A_A < A_B$
$v_A > v_B$
$P_A+\frac{1}{2} \rho V_A^2+\rho g h=P_B+\frac{1}{2} \rho V_B^2+\rho g h$ {Bernoulli's equation}
$\because v_A > v_B$
$\Rightarrow \frac{1}{2} \rho V_A^2 > \frac{1}{2} \rho V_B^2$
$\therefore P_A < P_B \quad \ldots (1)$
Now comparing $C$ and $B$
$A_B=A_C \Rightarrow v_B=v_C$
[equation of continuity].
$P_B+\frac{1}{2} \rho V^2+\rho g h_B=P_C+\frac{1}{2} \rho V^2+\rho g h_C$
$\Rightarrow P_B+\rho g h_B=P_C+\rho g h_C$
$\because h_B > h_C \text { then } \quad \ldots (2)$
$P_B < P_C$
Using $(1)$ and $(2)$
We can say, $P_A < P_B < P_C$