NEET Physics Mechanical Properties Of Fluids MCQs

A liquid flows through a pipe of non-uniform cross-section. If the radius at point A is half the radius at point B, and the velocity at point A is $v$, what is the velocity at point B?

A viscous liquid flows through a horizontal pipe of varying cross-section. At point A, the radius is 'r' and the velocity is 'v'. At point B, the radius is 'r/2'. Ignoring any energy losses due to viscosity, what is the pressure difference between points A and B?

A non-viscous, incompressible fluid flows steadily through a horizontal pipe with a varying cross-sectional area. At a point where the cross-sectional area is $A_1$, the fluid velocity is $v_1$ and the pressure is $P_1$. At another point where the area is $A_2 = A_1/2$, the velocity is $v_2$ and the pressure is $P_2$. If $\rho$ is the fluid density, which of the following expressions correctly relates $P_1$ and $P_2$?

A fluid flows through a pipe of varying cross-section. At point A, the cross-sectional area is $4 ext{cm}^2$ and the velocity is $2 ext{m/s}$. At point B, the velocity is $4 ext{m/s}$. If the fluid has a density of $1000 ext{kg/m}^3$, and the pressure difference between points A and B is $4800 ext{Pa}$, what is the area at point B?

Water flows steadily through a horizontal pipe of varying cross-section. At one section, the pressure is $120 ext{kPa}$ and the speed is $0.6 ext{m/s}$. At another section where the area is one-third the first, the pressure drops by $20 ext{kPa}$. What is the water speed at the second section (density of water = $1000 ext{kg/m}^3$)?

Water flows through a horizontal pipe with a cross-sectional area of $10 ext{cm}^2$ at a speed of $2 ext{m/s}$. The pipe then narrows to an area of $5 ext{cm}^2$. A vertical tube is connected to the wider section and another to the narrower section. What is the difference in the water levels in the two tubes (density of water = $1000 ext{kg/m}^3$)?

A pipe with a cross-sectional area of 0.01 m² carries water at a speed of 5 m/s. The pipe narrows to a cross-sectional area of 0.005 m². What is the speed of the water in the narrower section?

Which of the following statements best describes the equation of continuity?

A horizontal pipe of non-uniform cross-section has water flowing through it. At a point where the cross-sectional area is $20 \, cm^2$, the water velocity is $2 \, m/s$. What is the velocity at a point where the area is $10 \, cm^2$?

Water flows through a horizontal pipe with a cross-sectional area of $10 \, cm^2$ at a speed of $5 \, m/s$. The water then flows into a narrower section of the pipe with an area of $5 \, cm^2$. Ignoring viscosity, what is the pressure difference between the wider and narrower sections?