Mechanical Properties of Fluids Test

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Mechanical Properties of Fluids Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

A pilot wants to fly his aeroplane in atmosphere free space

A
He cannot do it

B
He can do it easily

C
He can do it but with difficulty

D
None of these

Solution

In the atmosphere free space, there is' no object to provide reaction to the aeroplane. So the pilot cannot fly his aeroplane.
Question 2
1 / -0

The height of mercury which exerts the same pressure as 20 cm of a water column, is equal to

A
$$1.48$$ cm

B
$$14.8$$ cm

C
$$148$$ cm

D
none of these

Solution

Let $$\rho_w$$ be density of water
$$\rho_m$$ be density of mercury
$$h_w$$ be height of water
$$h_m$$ be height of mercury
$$g$$ be acceleration due to gravity
$$P_w$$ be pressure exerted by water column
$$P_m$$ be pressure exerted by mercury column
Now $$P_w=\rho_w g h_w$$ (1)
$$\rho_w=1g/cc$$
$$h_w=20cm$$
So from (1)
$$P_w=1\times 10 \times 20$$ (2)

$$P_m=\rho_m g h_m$$ (3)
$$\rho_m=13.6g/cc$$
From (3)
$$P_m=13.6\times 10 \times h_m$$ (4)
As $$P_w=P_m$$
So from (2) and (4)
$$1\times 10 \times 20=13.6\times 10 \times h_m$$
$$h_m=\dfrac{20}{13.6}$$
$$h_m=1.48cm$$
Question 3
1 / -0

If the surface tension of water is $$0.06N/m$$, then the capillary rise in a tube of a diameter $$1mm$$ is :($$\theta={0}^{o}$$)

A
$$1.22cm$$

B
$$2.44cm$$

C
$$3.12cm$$

D
$$3.86cm$$

Solution

$$h\cfrac{2T\cos{\theta}}{r\rho g}$$
$$h=\cfrac{2\times 0.06\times \cos{{0}^{o}}}{(0.5\times {10}^{-3})\times {10}^{3}\times 9.8}$$
or $$h=2.44\times {10}^{-2}m$$
or $$h=2.44cm$$
Question 4
1 / -0

If the meniscus of a liquid is concave in shape, then

A
force of adhesion > force of cohesion

B
force of adhesion = force of cohesion

C
force of adhesion < force of cohesion

D
None of the above

Solution

Concave meniscus is formed when the force of adhesion is more than the force of cohesion and hence liquid prefers to stick to the glass surface rather than itself.
Question 5
1 / -0

In steady horizontal flow:

A
the pressure is greatest where the speed is leas

B
the pressure is independent of speed

C
the pressure is least where the speed is least

D
(a) and (c) are correct

Solution

Answer is A.

If a fluid is flowing horizontally and along a section of a streamline, where the speed increases it can only be because the fluid on that section has moved from a region of higher pressure to a region of lower pressure; and if its speed decreases, it can only be because it has moved from a region of lower pressure to a region of higher pressure. Consequently, within a fluid flowing horizontally, the highest speed occurs where the pressure is lowest, and the lowest speed occurs where the pressure is highest.
Hence, in a steady horizontal flow, the pressure is greatest where the speed is least.
Question 6
1 / -0

Pressure (P) exented by liquid on walls of the container when h = height of the liquid column, f = density, g is acceleration due to gravity

A
$$p = h f g$$

B
$$p = \dfrac{df}{g}$$

C
$$p = \dfrac{hg}{f}$$

D
$$p = \dfrac{df}{h}$$

Solution

Pressure exerted by the fluids on the sides of a container ab is called lateral pressure. The pressure (P) exented by liquids depends on their density (f), acceleration due to gravity (g) and height (h) of the liquid column mathematically it is given by p = hfg.
Question 7
1 / -0

The SI unit of hydro-static pressure is :

A
Pa

B
$$ Nm^{-1}$$

C
Nm

D
$$kg$$ $$wt$$ $$m^{-2}$$

Solution

S.I. unit of pressure= pascal
Question 8
1 / -0

Choose the correct option. Consider tube to be made of glass.

A
A: water

B: mercury

B
A: mercury

B: water

C
A: hot water

B: cold water

D
A: hot mercury

B: cold mercury

Solution

Water forms concave meniscus with glass and mercury forms convex meniscus with glass.
Question 9
1 / -0

Bernoulli's equation is applicable to points :

A
In a steadily flowing liquid

B
In a stream line

C
In a straight line perpendicular to a stream line

D
For ideal liquid stream line flow on a stream line

Solution

Answer is D.

If a fluid is flowing horizontally and along a section of a streamline, where the speed increases it can only be because the fluid on that section has moved from a region of higher pressure to a region of lower pressure; and if its speed decreases, it can only be because it has moved from a region of lower pressure to a region of higher pressure. Consequently, within a fluid flowing horizontally, the highest speed occurs where the pressure is lowest, and the lowest speed occurs where the pressure is highest.
Hence, Bernoulli's equation is applicable for ideal liquid stream line flow on a stream line.
Question 10
1 / -0

1 mm Hg is equal to

A
1 atm

B
1.013 $$\times$$10$$^5$$ Pa

C
133.29 atm

D
1.316 $$\times$$10$$^{-3}$$ atm

Solution

760 mm Hg $$ =1$$ atm
$$\therefore$$ 1 mm Hg $$ = \dfrac{1}{760} =1.316\times 10^{-3}$$ atm

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Mechanical Properties of Fluids Test - 12

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Mechanical Properties of Fluids Test - 12

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SHARING IS CARING

Question 1

He cannot do it

He can do it easily

He can do it but with difficulty

None of these

Solution

Question 2

$$1.48$$ cm

$$14.8$$ cm

$$148$$ cm

none of these

Solution

Question 3

$$1.22cm$$

$$2.44cm$$

$$3.12cm$$

$$3.86cm$$

Solution

Question 4

force of adhesion > force of cohesion

force of adhesion = force of cohesion

force of adhesion < force of cohesion

None of the above

Solution

Question 5

the pressure is greatest where the speed is leas

the pressure is independent of speed

the pressure is least where the speed is least

(a) and (c) are correct

Solution

Question 6

$$p = h f g$$

$$p = \dfrac{df}{g}$$

$$p = \dfrac{hg}{f}$$

$$p = \dfrac{df}{h}$$

Solution

Question 7

Pa

$$ Nm^{-1}$$

Nm

$$kg$$ $$wt$$ $$m^{-2}$$

Solution

Question 8

A: waterB: mercury

A: mercuryB: water

A: hot waterB: cold water

A: hot mercuryB: cold mercury

Solution

Question 9

In a steadily flowing liquid

In a stream line

In a straight line perpendicular to a stream line

For ideal liquid stream line flow on a stream line

Solution

Question 10

1 atm

1.013 $$\times$$10$$^5$$ Pa

133.29 atm

1.316 $$\times$$10$$^{-3}$$ atm

Solution

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A: water

B: mercury

A: mercury

B: water

A: hot water

B: cold water

A: hot mercury

B: cold mercury