Water is pumped through the hose shown below, from a lower level to an upper level. Compared to the water at point 1 , the water at point 2 :-

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TestHub · Accepted Answer

Apply continuity between the wider lower section and the narrower upper section:
$A_{1} V_{1} = A_{2} V_{2}$
$\frac{V _{2}}{V _{1}} = \frac{r _{1}^{2}}{r _{2}^{2}} > 1$
$V_{2} > V_{1}$
Apply Bernoulli between the same points:
$P_{1} + \frac{1}{2} ρ V_{1}^{2} = P_{2} + \frac{1}{2} ρ V_{2}^{2} + ρ g h$
$Δ P = \frac{1}{2} ρ (V_{1}^{2} - V_{2}^{2}) - ρ g h$
$Δ P < 0 \Rightarrow P_{2} < P_{1}$

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