Mechanical Properties of Fluids Test

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Mechanical Properties of Fluids Test - 14

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Weekly Quiz Competition

Question 1
1 / -0

A liquid is allowed to flow in a tube of truncated cone shape. Identify correct statement from the following.

A
The speed is high at the wider end and low at the narrow end

B
The speed is low at the wider end and high at the narrow end

C
The speed is same at both ends in a stream line flow

D
The liquid flows with uniform velocity in the tube

Solution

For an incompressible liquid equation of continuity $$ Av = constant$$
or, $$ A \propto \cfrac{1}{v}$$
Therefore at the wider end speed will be low and at the narrow end speed will be hgih.
Question 2
1 / -0

The gauge pressure of $$3 \times 10^5$$ N/m$$^2$$ must be maintained in the main water pipes of a city. How much work must be done to pump $$50,000$$ m$$^3$$ of water at a pressure of $$1.0 \times 10^5$$ N/m$$^2$$ -

A
$$10^{11}$$ J

B
$$10^{10}$$ J

C
$$10^{9}$$ J

D
$$10^{8}$$ J

Solution
Question 3
1 / -0

A student uses a measuring cylinder to measure the volume of some water. The diagram shows
part of the measuring cylinder. The top and bottom of the meniscus are labelled.
What is the volume of the water?

A
$$47.0\ cm^{3}$$

B
$$47.5\ cm^{3}$$

C
$$49.0\ cm^{3}$$

D
$$49.5\ cm^{3}$$

Solution

The lowest point on the meniscus gives the level of water. In the the given diagram it is 47.
Question 4
1 / -0

A drop of mercury of radius $$2 mm$$ is split into 8 identical droplets. Find the increase in surface energy. (Surface tension of mercury is $$0.465{ J/m }^{ 2 }$$)

A
$$23.4\mu J$$

B
$$18.5\mu J$$

C
$$26.8\mu J$$

D
$$16.8\mu J$$

Solution

As we know,

Increase in surface energy or work is done in splitting a big drop

$$=4\pi R^{2}T(n^{1/3}-1)$$

$$\Rightarrow W=4\pi *(2*10^{-3})^{2}*0.465(8^{1/3}-1)=23.4\mu J$$
Question 5
1 / -0

Water does not wet an oily glass, because

A
cohesive force of oil $$>>$$ adhesive force between oil and glass

B
cohesive force of oil $$>$$ cohesive force of water

C
oil repels water

D
cohesive force of water $$>$$ adhesive force between water and oil molecules

Solution

Water does not wet an oily glass, because of, Cohesive force for water $$>$$ adhesive force between water and oil molecules.
Question 6
1 / -0

The pressure at the bottom of a tank containing a liquid does not depend on

A
acceleration due to gravity

B
height of the liquid column

C
area of the bottom surface

D
nature of the liquid

Solution

As we know,
$$P=h\rho g$$
hence,
The pressure at the bottom of a tank containing a liquid does not depend on the area of the bottom surface.
Question 7
1 / -0

No capillarity will take place if:-
(i) The liquid is at its boiling point
(ii) The liquid is at its freezing point
(iii) The angle of contact is $$0^{\circ}$$
(iv) The angle of contact is $$90^{\circ}$$

A
(i,ii)

B
(i,iv)

C
(i,ii,iii)

D
(ii,iv)

Solution

capillarity will not take place when the liquid is at its boiling point, the liquid is at its freezing point and the angle of contact is$$0^0$$
Question 8
1 / -0

Nature of meniscus for liquid of $$0^{0}$$ angle of contact

A
plane

B
parabolic

C
semi-spherical

D
cylindrical

Solution

Nature of meniscus for liquid of $$0^{0}$$ angle of contact is Semi-spherical.
Question 9
1 / -0

In order to float a ring of area $$0.04 m^{2}$$ in a liquid of surface tension $$75 N/m$$, the required surface energy will be

A
$$3J$$

B
$$6.5J$$

C
$$1.5J$$

D
$$4J$$

Solution

Given,
area= $$0.04 m^{2}$$
surface tension =$$75 N/m$$,

$$E=T*\Delta A=75*0.04=3J$$
Question 10
1 / -0

A capillary tube, made of glass is dipped into mercury. Then:

A
mercury rises in the capillary tube.

B
mercury descends in capillary tube.

C
mercury rises and flows out of capillary tube.

D
mercury neither rises nor descends in the capillary tube.

Solution

It descends because the contact angle of mercury is generally $$135^{o}$$.
Therefore, surface tension applies a downward force on mercury pushing it down.

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Mechanical Properties of Fluids Test - 14

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Mechanical Properties of Fluids Test - 14

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Question 1

The speed is high at the wider end and low at the narrow end

The speed is low at the wider end and high at the narrow end

The speed is same at both ends in a stream line flow

The liquid flows with uniform velocity in the tube

Solution

Question 2

$$10^{11}$$ J

$$10^{10}$$ J

$$10^{9}$$ J

$$10^{8}$$ J

Solution

Question 3

$$47.0\ cm^{3}$$

$$47.5\ cm^{3}$$

$$49.0\ cm^{3}$$

$$49.5\ cm^{3}$$

Solution

Question 4

$$23.4\mu J$$

$$18.5\mu J$$

$$26.8\mu J$$

$$16.8\mu J$$

Solution

Question 5

cohesive force of oil $$>>$$ adhesive force between oil and glass

cohesive force of oil $$>$$ cohesive force of water

oil repels water

cohesive force of water $$>$$ adhesive force between water and oil molecules

Solution

Question 6

acceleration due to gravity

height of the liquid column

area of the bottom surface

nature of the liquid

Solution

Question 7

(i,ii)

(i,iv)

(i,ii,iii)

(ii,iv)

Solution

Question 8

plane

parabolic

semi-spherical

cylindrical

Solution

Question 9

$$3J$$

$$6.5J$$

$$1.5J$$

$$4J$$

Solution

Question 10

mercury rises in the capillary tube.

mercury descends in capillary tube.

mercury rises and flows out of capillary tube.

mercury neither rises nor descends in the capillary tube.

Solution

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