Fluids Test

Result

Fluids Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

An object of w and density ρ is submerged in liquid of density σ, its apparent weight will be

A
(ρ−σ)

B
(ρ−σ)/w

C

D

Solution
Question 2
1 / -0

A person swimming in a fresh water pool swims, obeying

A
Newton's second law

B
gravitational law

C
Newton's third law

D
Newton's first law

Solution

A person swimming in fresh water pool swims obeying 3 rd law of motion. He pushes water backward, water in turn pushes him forward and he swims.
Question 3
1 / -0

A container has a small hole at its bottom. Area of cross-section of the hole is A₁ and that of the container is A₂. Liquid is poured in the containor at a constant rate Q m³/s
The maximum level of liquid in the container will be

A

B

C

D

Solution

Level in the container will become maxium when rate of inflow =rate of outelow. or,
Question 4
1 / -0

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
9 minute

B
7 minute

C
5 minute

D
3 minute

Solution
Question 5
1 / -0

Two rain drops of same radii 'r', falling with terminal velocity 'v' merge and form a bigger drop of radius R. The terminal velocity of the bigger drop is

A

B

C
v

D
2v

Solution

Terminal velocity
Question 6
1 / -0

Water flows along a horizonatl pipe whose cross-section is not constant. The pressure is 1 cm of Hg where the velocity is 35 cms⁻¹. At a point where the velocity is 65 cms⁻¹, the pressure will be

A
0.89 cm of Hg

B
8.9 cm of Hg

C
0.5 cm of Hg

D
1 cm of Hg

Solution

In horizontal pipe

∴ From Eq. (i),

After solving, 0.89 cm of Hg.
Question 7
1 / -0

If two soaps bubbles of equal radii r coalesce then the radius of curvature of interface between two bubble will be

A
r

B
0

C
infinity

D
r/2

Solution
Question 8
1 / -0

A cylinrical vessel is filled with a liquid up to a height H. A small hole is made in the vessel at a distance y below the liquid surface as shown in figure. The liquid emerging from the hole strike the ground at distance x

A
x is equal if hole is at depth y or H-y

B
x is maximum for y = H/2

C
Both (1.) and (2) are correct

D
Both (1.) and (2.) are wrong

Solution

At h = H/2, maximum range is obtained, which is equal to H.

Further R_h = R_H−h
Question 9
1 / -0

Water from a tap emerges vertically down with an initial speed of 10ms⁻¹. The cross-sectional area of tap is 10⁻⁴m². Assume that the pressure is constant throughout the stream of water, and that the flow is steady. The cross sectional area of the stream 0.15 m below the tap is

A
5.0×10^-4m²

B
10×10⁻⁵ m²

C
5.0×10⁻⁵m²

D
2.0×10⁻⁵ m²

Solution

Decrease in potential energy= increase is kinetic energy

or

Now from continuity equation,

Velocity has become two times. Hence area of cross section will remain half.
Question 10
1 / -0

A solid uniform ball of volume V floats on the interface of two immiscible liquids (Fig.) The specific gravity of the upper liquid is ρ₁ and that of lower one is ρ₂ whilst the specific gravity of ball is ρ (ρ₁<ρ<ρ₂) The fraction of the volume of the ball in the upper liquid is

A

B

C

D

Solution

Let v be volume of sphere in the upper liquid and that in lower liquid is (V-v)