Free Printable Pressure inside a liquid

1.

The figure shows connected tubes with a horizontal base. If water is poured gradually, the height of the water in the branches A, B, and C at equilibrium is ______.

a)

h_A=h_B=h_C

b)

$h_B>h_C>h_A$

c)

$h_B=h_A<h_C$

d)

$h_B<h_C<h_A$

2.

The given figure shows a glass container of height 42 cm completely filled with water. If the pressure due to water on point 𝐴 is 𝑃 and that at the base of the container is 3𝑃,then height ℎ from the base of the container to point 𝐴 is equal to .

a)

14 cm

b)

28 cm

c)

37 cm

d)

21 cm

3.

A submarine changes its depth in the ocean, which causes the pressure to change by $0.09\ MPa$ . Given that the density of ocean water is about $1‎‎040\ kg/m^3$ ,find the change of the submarine’s depth in the water. Let $g=10\ m/s^2$ .

a)

9.00 m

b)

0.88 m

c)

0.12 m

d)

8.65 m

4.

In the following figure, if the density of the seawater is higher than that of the swimming pool water, which swimmer is exposed to higher pressure?

a)

(C)

b)

(B)

c)

(A)

d)

(D)

5.

The pressure on a point at a depth of 6 cm in a beaker which contains oil is $0.5×10^3Pa$ . Find the density of the oil in terms of the acceleration due to gravity, 𝑔.

a)

$\frac{(1.2\times10^4)}{g}\ kg/m^3$

b)

$\frac{(1\times10^4)}{g}\ kg/m^3$

c)

$\frac{(5\times10^2)}{g}\ kg/m^3$

d)

$\frac{(8.3\times10^3)}{g}\ kg/m^3$

6.

An oil leak left a 0.4 m thick layer of oil floating on top of the seawater. Calculate the pressure due to the water and the oil 2.1 m below water surface.

ρ_{oil}=850\ kg/m^3,\ ρ_{water}=1000kg/m^3,\ and\ g=9.8m/s^2.

a)

$45‎‎325\ N/m^2$

b)

$33248\ N/m^2$

c)

$23912\ N/m^2$

d)

$21413\ N/m^2$

7.

The figure below shows a reservoir on a hill. The reservoir supplies water to a water tank on a tall building. Calculate the water pressure at X. (Density of water = $1000\ kg\ m^{–3}$ )

a)

$1.4\times10^9\ Nm^{-2}$

b)

$1.4\times10^2\ Nm^{-2}$

c)

$1.4\times10^5\ Nm^{-2}$

d)

$1.4\times10^8\ Nm^{-2}$

8.

A coin sinks to a depth of 5 m in a liquid of density $800\ kg.m^{–3}$ . At what depth, in a different liquid of density $600\ kg.m^{–3}$ , will the coin be subjected to the same pressure?

a)

5.67 m

b)

6.67 m

c)

8.67 m

d)

9.67 m

9.

Two identical containers containing liquid M and liquid N with 28 cm height and 20 cm height respectively. Both containers produce the same water spurt.
If the density of liquid M is $2.0\ g/cm^3$ , find the density of liquid N.

a)

$0.70\ g.cm^{-3}$

b)

$1.40\ g.cm^{-3}$

c)

$1.43\ g.cm^{-3}$

d)

$2.80\ g.cm^{-3}$

10.

A beaker is filled with a liquid up to a height h. If A and B are two points, one on the free surface and one at the base as shown, such that the minimum distance between the two is l, what will be the pressure at point B?

a)

$ρgl$

b)

$ρgh$

c)

$ρg\sqrt{(l^2+h^2)}$

d)

$ρg\sqrt{(l^2-h^2)}$

11.

A beaker of height h is filled with a liquid of density ρ up to a certain limit. The beaker is rotated by an angle θ such that further increase in the angle will result in overflow of the liquid. If the liquid surface is exposed to the atmosphere, what will be the gauge pressure at point B?

a)

$ρgh$

b)

$ρgh\sinθ$

c)

$ρgh\cosθ$

d)

$ρgh\tanθ$

12.

An arm of a teapot is completely filled with tea (density=ρ) If the arm has a length of l and is inclined at 30° to the horizontal, what will be the pressure difference between the two points, C at the mouth and D at the base of the arm?

a)

$ρgl$

b)

$\frac{ρgl}{2}$

c)

$\sqrt{2ρgl}$

d)

$2ρgl$

13.

A beaker is filled with a liquid of density $ρ_1$ up to a certain height. The pressure at the base of the beaker is $P_b$ . If the liquid is replaced by an equal volume of another liquid of density $ρ_1$ , what will be the pressure at the base of the beaker now?

a)

$P_b$

b)

$\frac{ρ_1+ρ_2}{2P_b}$

c)

$\frac{ρ_1}{ρ_2}P_b$

d)

$\frac{ρ_2}{ρ_1}P_b$

14.

A cuboid container (each side of 30 cm) is completely filled with water. A is a point, 25 cm above the base such that the pressure at point A is P. At what height (in cm) from the base will the pressure be 2P ?

a)

20

b)

15

c)

12.5

d)

10

15.

Three beakers 1, 2 and 3 of different shapes are kept on a horizontal table and filled with water up to a height h. If the pressure at the base of the beakers are $P_1$ , $P_2$ and $P_3$ respectively, which one of the following will be the relation connecting the three?

a)

$P_1>P_2>P_3$

b)

$P_1<P_2<P_3$

c)

$P_1=P_2=P_3$

d)

$P_1>P_2<P_3$

16.

The arm of a teapot is 10 cm long and inclined at an angle of 60° to the vertical. The center of the arm base is 2 cm above the base of the beaker. Water is poured into the beaker such that half the arm is filled with it. What will be the pressure at the base of the beaker if the atmospheric pressure is 101.3 KPa?

(ρ_{water}=1000\ kg⁄m^3)\ ,\ (g=9.8m⁄s^2)

a)

$101.3\ kPa$

b)

$101.5\ kPa$

c)

$101.7\ kPa$

d)

$101.9\ kPa$

17.

Recall that Liquid pressure depends on the depth below the surface and also depends on the density of the fluid.

Sea water is denser than Lake water.

Fish X is above Fish Y in the Lake water.

Fish Z is at the same depth as Fish Y but Fish Z is in the Sea water.

The pressure of water exerted on the fishes is P_X, P_Y and P_Z respectively.

Which comparison is correct about the pressure of water exerted on the fishes?

a)

P_Z > P_Y > P_X

b)

P_Z = P_Y

c)

P_X > P_Y

d)

P_Z < P_X < P_Y

18.

Calculate the pressure exerted by the water on the fish.

[Density of water = 1 000 kg m⁻³and g = 10N/kg]

a)

5 × 10⁴ Pa

b)

5 × 10⁷ Pa

c)

5 × 10⁶ Pa

d)

5 × 10^-1 Pa

19.

Given that the pressure of sea water at the bottom of an ocean is 7.65 × 10⁷ N m⁻², calculate the depth of the ocean.

[Density of sea water = 1.02 × 10³ kg m⁻³and g = 10N/kg]

a)

7.5 × 10⁸ m

b)

7.5 × 10⁴ m

c)

7.5 × 10³ m

d)

7.5 × 10² m

20.

Which of the following diagrams shows the best design for the wall of a reservoir?

a)

A

b)

B

c)

C

d)

D

21.

Which of the following graphs shows the correct relationship between water pressure, p and depth, h of the water?

a)

A

b)

B

c)

C

d)

D

22.

Four different liquids are poured into identical measuring cylinders. The diagrams show the depths of the liquids and their densities.

Which liquid causes the largest pressure on the base of its measuring cylinder?

a)

A

b)

D

c)

C

d)

B

23.

Which of the following factors affect the pressure at the bottom of a container of liquid?

a)

depth of the container

b)

width of the container

c)

temperature of liquid

d)

color of liquid

24.

A diver is 18 m underwater in a freshwater lake. The density of pure water is 1000 kg/m3.

Complete the following sentence: The pressure on the diver due to the water is ___ kPa.

a)

180 kPa

b)

180 Pa

c)

1800 Pa

d)

18000 Pa

25.

A beaker is filled with a liquid of density up to a height h. If half the liquid is replaced by equal volume of another liquid of twice the density, what will be the change in the base pressure?

a)

increased by ρgh

b)

decreased by ρgh

c)

increased by ρgh/2

d)

decreased by ρgh/2

Pressure inside a liquid

Total questions: 25

Worksheet time: 25mins

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