NEET Physics Mechanical Properties Of Fluids MCQs

A venturimeter is connected to a horizontal pipe. The radius of the pipe is $r$ and the radius of the throat of the venturimeter is $r/2$. The pressure difference between the two sections is $40ext{ cm}$ of Hg. What is the speed of water in the pipe (density of Hg = $13.6 imes 10^3 ext{kg/m}^3$, density of water = $10^3 ext{kg/m}^3$, $g=10 ext{m/s}^2$)?

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 vertical tube of cross-sectional area $A_1$ is filled with an ideal fluid of density $\rho$. A small orifice of area $A_2$ ($A_2 << A_1$) is located at a depth $h$ below the surface of the fluid. A horizontal tube of cross-sectional area $A_3$ is connected to the orifice. If $A_3 = 2A_2$, what is the horizontal force exerted by the fluid jet on the horizontal tube? (Assume atmospheric pressure $P_0$)

A large cylindrical tank filled with water to a height $H$ has a small hole at a depth $h$ below the water surface. If the hole is enlarged such that its area doubles, how does the range $R$ of the water stream exiting the hole change? (Assume ideal fluid behavior and no air resistance)

Two identical cylindrical tanks are filled with water to the same height $h$. Tank A has a small hole at its base, while Tank B has a small hole at a depth $h/2$ from the top. Let $t_A$ and $t_B$ be the time taken for the water level to decrease to $h/2$ in each tank. Which of the following is true?

A container filled with an ideal fluid has two small holes of equal area, one at depth $h$ and the other at depth $4h$. If the velocity of efflux through the hole at depth $h$ is $v$, what is the horizontal distance between the points where the two streams hit the ground? (Assume the holes are close to the base of the container, and the base is at a height $H$ above the ground)

A tank filled with water to a height $H$ has a small hole in its side at a depth $h$ from the water surface. The range of the emerging stream is $R$. Now, the tank is placed on a smooth horizontal surface and given a constant horizontal acceleration $a$. The new range of the stream will be:

A large open tank filled with an incompressible, non-viscous fluid up to a height 'H' has a small hole at a depth 'h' below the free surface. A second identical tank is filled with the same fluid to the same height 'H', but instead of a hole, it has a short, horizontal, frictionless pipe of cross-sectional area 'a' attached at a depth 'h'. If the cross-sectional area of the hole is also 'a', the ratio of the initial horizontal velocity of the fluid exiting the pipe to the initial horizontal velocity of the fluid exiting the hole is:

A small solid sphere of radius 'r' and density 'ρ' falls under gravity in a viscous fluid of density 'σ' and coefficient of viscosity 'η'. If $\rho > \sigma$, and the sphere has attained terminal velocity, which of the following changes would result in a decrease in the terminal velocity, assuming all other factors remain constant?

Two identical spheres, A and B, are released simultaneously from the same height in two different viscous liquids. Sphere A reaches terminal velocity faster than sphere B. Which of the following conclusions can be drawn about the liquids?