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According to Bernoulli's equation

$\frac{P}{ρg} + h + \frac{1}{2} \frac{v^{2}}{g} = constant$

The terms A, B and C are generally called respectively:

Gravitational head, pressure head and velocity head
Gravity, gravitational head and velocity head
Pressure head, gravitational head and velocity head
Gravity, pressure and velocity head

A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The tank was sealed at 3.10 atm. The stored gasoline has a density of 660 ${kgm}^{- 3}$ . The velocity with which gasoline begins to shoot out of the hole is

27.8

{ms}^{- 1}

41.0

{ms}^{- 1}

9.6

{ms}^{- 1}

19.7

{ms}^{- 1}

A rectangular vessel when full of water takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water

9 minute
7 minute

5 minute
3 minute

A streamlined body falls through air from a height h on the surface of a liquid. If d and D(D > d) represents the densities of the material of the body and liquid respectively, then the time after which the body will be instantaneously at rest, is

\sqrt{\frac{2 h}{g}}

\sqrt{\frac{2 h}{g} \cdot \frac{D}{d}}

\sqrt{\frac{2 h}{g} \cdot \frac{d}{D}}

\sqrt{\frac{2 h}{g}} (\frac{d}{D - d})

A large tank of cross-section area A is filled with water to a height H. A small hole of area 'a' is made at the base of the tank. It takes time $T_{1}$ to decrease the height of water to $\frac{H}{η} (η > 1)$ ; and it takes $T_{2}$ time to take out the rest of water. If $T_{1} = T_{2}$ , then the value of $η$ is

2
3

4

2 \sqrt{2}

As the temperature of water increases, its viscosity

Remains unchanged
Decreases
Increases
Increases or decreases depending on the external pressure

A small drop of water falls from rest through a large height h in air; the final velocity is

\propto \sqrt{h}

\propto h

\propto (1 / h)

Almost independent of h

The rate of flow of liquid in a tube of radius r, length l, whose ends are maintained at a pressure difference P is $V = \frac{{πQPr}^{4}}{ηl}$ where $η$ is coefficient of the viscosity and Q is

\frac{1}{8}

\frac{1}{16}

Water flows in a streamlined manner through a capillary tube of radius a, the pressure difference being P and the rate of flow Q. If the radius is reduced to a/2 and the pressure increased to 2P, the rate of flow becomes

4 Q

Q

\frac{Q}{4}

\frac{Q}{8}

Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tube of diameter 2 cm. The velocity of water in the other pipe is

3 m/s
6 m/s

12 m/s
8 m/s

What is the velocity v of a metallic ball of radius r falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are $ρ$ and $σ$ respectively, and the viscosity of the liquid is $η$ ).

\frac{r^{2} g}{9 η} (ρ - 2 σ)

\frac{r^{2} g}{9 η} (2 ρ - σ)

\frac{r^{2} g}{9 η} (ρ - σ)

\frac{2 r^{2} g}{9 η} (ρ - σ)

Consider the following equation of Bernouilli’s theorem.

$P + \frac{1}{2} {ρV}^{2} + ρgh = K (constant)$

The dimensions of K/P are the same as that of which of the following

Thrust
Pressure

Angle
Viscosity

An incompressible fluid flows steadily through a cylindrical pipe which has radius 2r at point A and radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is

2v
v

v/2
4v

A block of ice floats on a liquid of density 1.2 $g / c m^{3}$ in a beaker. Then level of liquid when ice completely melts-

Remains same
Rises

Lowers
(a), (b) or (c)

A vessel of area of cross-section A has liquid to a height H. There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from $H_{1}$ to $H_{2}$ will be

\frac{A}{a} \sqrt{\frac{2}{g}} [\sqrt{H_{1}} - \sqrt{H_{2}}]

\sqrt{2 gh}

\sqrt{2 gh (H_{1} - H_{2})}

\frac{A}{a} \sqrt{\frac{g}{2}} [\sqrt{H_{1}} - \sqrt{H_{2}}]

NEET Questions

Question bank:

According to Bernoulli's equation Pρg+h+12v2g=constant The terms A, B and C are generally called respectively:

A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The tank was sealed at 3.10 atm. The stored gasoline has a density of 660 kgm-3. The velocity with which gasoline begins to shoot out of the hole is

A rectangular vessel when full of water takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water

A streamlined body falls through air from a height h on the surface of a liquid. If d and D(D > d) represents the densities of the material of the body and liquid respectively, then the time after which the body will be instantaneously at rest, is

A large tank of cross-section area A is filled with water to a height H. A small hole of area 'a' is made at the base of the tank. It takes time T1 to decrease the height of water to Hη(η>1) ; and it takes T2 time to take out the rest of water. If T1=T2, then the value of η is

As the temperature of water increases, its viscosity

A small drop of water falls from rest through a large height h in air; the final velocity is

The rate of flow of liquid in a tube of radius r, length l, whose ends are maintained at a pressure difference P is V=πQPr4ηl where η is coefficient of the viscosity and Q is

Water flows in a streamlined manner through a capillary tube of radius a, the pressure difference being P and the rate of flow Q. If the radius is reduced to a/2 and the pressure increased to 2P, the rate of flow becomes

Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tube of diameter 2 cm. The velocity of water in the other pipe is

What is the velocity v of a metallic ball of radius r falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are ρ and σ respectively, and the viscosity of the liquid is η).

Consider the following equation of Bernouilli’s theorem. P+12ρV2+ρgh=K(constant) The dimensions of K/P are the same as that of which of the following

An incompressible fluid flows steadily through a cylindrical pipe which has radius 2r at point A and radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is

A block of ice floats on a liquid of density 1.2 g/cm3 in a beaker. Then level of liquid when ice completely melts-

A vessel of area of cross-section A has liquid to a height H. There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from H1 to H2 will be

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