NEET Physics MCQ: NCERT Poiseuille Equation

🎯Difficulty :Hard

🔄Ncert Concepts :Poiseuille's Equation, Fluid Dynamics, Equation of Continuity

Related Questions

A large open tank has two holes in its wall. One is a square hole of side a at a depth of $x$ from the top and the other is a circular hole of radius r at a depth $4x$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then r is equal to

a/sqrt(π)

a/sqrt(2π)

2a/sqrt(π)

a/π

Question Tags

🔄Ncert Concepts :Torricelli's Law, Fluid flow rate, Area of a square, Area of a circle

A liquid of density 800 kg ${{\rm{m}}^3}$ is filled in a tank open at the top. The pressure of the liquid at the bottom of the tank is 6.4 atm. The velocity of efflux through a hole at the bottom is(1 atm = ${10^5}$ ${\rm{N}}{{\rm{m}}^{ - 2}}$ )

10 ${\rm{m}}{{\rm{s}}^{ - 1}}$

20 ${\rm{m}}{{\rm{s}}^{ - 1}}$

30 ${\rm{m}}{{\rm{s}}^{ - 1}}$

40 ${\rm{m}}{{\rm{s}}^{ - 1}}$

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🔄Ncert Concepts :Fluid pressure, Bernoulli's principle, Torricelli's theorem

According to Poiseuille's equation, if the viscosity of a fluid flowing through a tube is doubled, while all other factors are kept constant, the flow rate will:

Be doubled

Be halved

Remain unchanged

Be quadrupled

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⚡ Time Required :1 mins

🔄Ncert Concepts :Poiseuille's Equation, Viscosity

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?

v/4

v/2

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🎯Difficulty :Hard

🔄Ncert Concepts :Poiseuille's Equation, Fluid Dynamics, Equation of Continuity

The glycerin of density $1.25 imes {10^3}\;{\rm{kg}}{{\rm{m}}^{ - 3}}$ is flowing through a conical tube with end radii 0.1 m and 0.04 m respectively. The pressure difference across the ends is $10{\rm{N}}{{\rm{m}}^{ - 2}}$ . The rate of flow of glycerine through the tube is

6.37×10⁻⁴ m³/s

7.96×10⁻⁴ m³/s

3.18×10⁻⁴ m³/s

1.59×10⁻⁴ m³/s

Question Tags

🔄Ncert Concepts :fluid dynamics, flow rate, pressure difference, Poiseuille's Law (modified)

A water tank, open to the atmosphere, has a leak in it, in the form of a circular hole, located at a height h below the open surface of water. The velocity of the water coming out of the hole is

$\sqrt {gh/2}$

$\sqrt {gh}$

$\sqrt {2gh}$

$2\sqrt {gh}$

Question Tags

🔄Ncert Concepts :Fluid dynamics, Torricelli's theorem, Bernoulli's principle

Two capillaries of same length but different radii $r_1$ and $r_2$ are connected in series. The pressure difference across the first capillary is $\Delta P_1$ and across the second is $\Delta P_2$ . If the rate of flow of liquid through the combination is $Q$ , and $r_1 = 2r_2$ , then the ratio $\Delta P_1/\Delta P_2$ is:

16/1

1/16

1/8

8/1

Question Tags

🎯Difficulty :Hard

🔄Ncert Concepts :Poiseuille's Equation, Fluid Dynamics, Series Combination

A wooden ball of density D is immersed in water of density d to a depth h below the surface of water and then released. Upto what height will then ball jump out of water?

$\frac{d}{D}h$

$\left( {\frac{d}{D} - 1} \right)h$

$h$

Zero

Question Tags

🔄Ncert Concepts :Buoyancy, Potential Energy, Kinetic Energy, Conservation of Energy

The level of water in a tank is 5 m high. A hole of area $10{\rm{c}}{{\rm{m}}^2}$ is made in the bottom of the tank. The rate of leakage of water from the hole is

${10^{ - 2}}{{\rm{m}}^3}{{\rm{s}}^{ - 1}}$

${10^2}{{\rm{m}}^3}{{\rm{s}}^{ - 1}}$

$10{{\rm{m}}^3}{{\rm{s}}^{ - 1}}$

${10^{ - 2}}{{\rm{m}}^{ - 3}}{{\rm{s}}^{ - 1}}$

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