Mechanical Properties of Fluids Test

Result

Mechanical Properties of Fluids Test - 66

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Question 1
1 / -0

A cubical block is floating in a liquid with one fourth of its volume immersed in the liquid. If whole of the system accelerates upward with acceleration $$g/4$$, the fraction of volume immersed in the liquid will be

A
$$1/4$$

B
$$1/2$$

C
$$3/4$$

D
$$2/3$$

Solution
Question 2
1 / -0

A book is submerged in a vessel filled with water by a spring attached to the bottom of the vessel$$.$$ In equilbrium spring is compressed$$.$$ The vessel now moves downwards with an acceleration a $$(<g).$$ The spring length$$-$$

A
Will become zeroA

B
May increase$$,$$ decrease or remain constant

C
Will decrease

D
will increase

Solution
Question 3
1 / -0

A hole is made a the bottom of a tank filled with water (density = $$10^3$$ kg/m$$^3$$). If the total pressure at the bottom of the tank is $$3$$ atm ($$1$$ atm = $$10^5$$ N/m$$^2$$), then the velocity of efflux is:

A
$$\sqrt 400$$ m/s

B
$$\sqrt 200$$ m/s

C
$$\sqrt 600$$ m/s

D
$$\sqrt 500$$ m/s

Solution
Question 4
1 / -0

Dry air at one atmospheric pressure is suddenly compressed so that its volume becomes one-fourth. Its pressure will become - ($$\gamma =1.5$$)

A
$$4$$ atm

B
$$8$$ atm

C
$$16$$ atm

D
$$32$$ atm

Solution
Question 5
1 / -0

When a ball is dropped from a height of $$19.6$$ m above a liquid surface whose density is double of ball. Find the depth upto which the ball falls in liquid.

A
$$9.8$$ m

B
$$19.6$$ m

C
$$29.4$$ m

D
$$4.9$$ m

Solution
Question 6
1 / -0

An iron box is kept on the surface in the position as shown in figure if its mass is 63 kg then the pressure extend by it on the surface (value of g = m/s)

A
1.4 pa

B
14000 pa

C
1400 pa

D
None of these

Solution
Question 7
1 / -0

A beaker containing a liquid is kept inside a big closed jar. If air inside jar is continuously pumped out, pressure in liquid near bottom of the liquid

A
Increases

B
Decreases

C
Remains constant

D
becomes zero

Solution
Question 8
1 / -0

A hole is made at the bottom of the tank filled with water (density $$1000 kg/m^3)$$. If the total pressure at the bottom of the tank is 3 atm (1 atm$$=10^5 N/m^2$$).

A
$$\sqrt{200} m/s$$

B
$$\sqrt{400} m/s$$

C
$$\sqrt{600} m/s$$

D
$$\sqrt{800} m/s$$

Solution
Question 9
1 / -0

Two swimmers start a race. One who reaches the point $$C$$ first on the other bank wins the race. $$A$$ makes his strokes in a direction of $$37^{o}$$ to the river flow with velocity $$5\ km/hr$$ relative to water. $$B$$ make his strokes in a direction $$127^{o}$$ to the river flow with same relative velocity. River is flowing with speed of $$2\ km/hr$$ and is $$100\ m$$ wide. speeds of $$A$$ and $$B$$ on the ground are $$8 \ km/hr$$ and $$6 \ km/hr$$ respectively .

A
$$A$$ will win the race

B
$$B$$ will win the race

C
the time taken by $$A$$ to reach the point $$C$$ is $$165$$ seconds

D
the time taken by $$B$$ to reach the point $$C$$ is $$150$$ seconds

Solution
Question 10
1 / -0

A tube of $$1 $$mm bore is dipped into a vessel containing a liquid of density $$\rho = 800\ kg $$$${ m }^{ -3 }$$ and of surface tension , $$S = 49\times { 10 }^{ -3 }$$ $$nm^{ -1 }$$ and angle of contact, $$\theta ={ 0 }^{ \circ }$$. The tube is held inclined to the vertical at an angle of $${ 60 }^{ \circ }$$. Find the height to which the liquid can rise and the length which the liquid will occupy in the tube.

A
1.5 cm, 5 cm

B
3.5 cm, 5 cm

C
4 cm, 2.5 cm

D
2.5 cm, 5 cm

Solution