NEET Physics — Mechanical Properties of Fluids

A pipe’s cross-sectional area changes from $0.08 \, \text{m}^2$ to $0.02 \, \text{m}^2$. If the speed at the larger end is $1.2 \, \text{m/s}$, what is the speed at the smaller end?

A manometer with ethyl alcohol ($\rho = 806 \, \text{kg/m}^3$) shows a height difference of $0.26 \, \text{m}$. What is the pressure difference? (Take $g = 9.8 \, \text{m/s}^2$)

A capillary tube of radius $0.3 \, \text{mm}$ is dipped in water ($S = 0.0727 \, \text{N/m}$, $\rho = 1000 \, \text{kg/m}^3$, $\cos \theta = 1$). What is the capillary rise? (Take $g = 10 \, \text{m/s}^2$)

Water flows at $3.5 \, \text{m/s}$ at $4.5 \, \text{m}$ height with pressure $1.5 \times 10^5 \, \text{Pa}$. What is the pressure at $2.5 \, \text{m}$ height with speed $4.5 \, \text{m/s}$? ($\rho = 1000 \, \text{kg/m}^3$, $g = 9.8 \, \text{m/s}^2$)

What is the absolute pressure at $300 \, \text{m}$ depth in seawater ($\rho = 1.03 \times 10^3 \, \text{kg/m}^3$) with $P_a = 1.01 \times 10^5 \, \text{Pa}$? (Take $g = 10 \, \text{m/s}^2$)