iCON Education - Fluid Mechanics AP-EAPCET Test

Candidate Name

Student

Exam Name

AP-EAPCET

Test Name

Fluid Mechanics

Subject

Physics

← Back to Fluid Mechanics

Remaining Time

00:33:00

Question 1: Palette 1/33

AP-EAPCET 2025 MCQ

A wire of length 20 cm is placed horizontally on the surface of water and is gently pulled up with a force of $1.456 \times 10^{-2} \mathrm{~N}$ to keep the wire in equilibrium. The surface tension of water is

$0.00364 \mathrm{Nm}^{-1}$

$0.0364 \mathrm{Nm}^{-1}$

$0.00464 \mathrm{Nm}^{-1}$

$0.0864 \mathrm{Nm}^{-1}$

Question 2: Palette 2/33

AP-EAPCET 2025 MCQ

If two soap bubbles each of radius 2 cm combine in vacuum under isothermal conditions, then the radius of the new bubble formed is

$\sqrt{2} \mathrm{~cm}$

$2 \sqrt{2} \mathrm{~cm}$

0.5 cm

2 cm

Question 3: Palette 3/33

AP-EAPCET 2025 MCQ

When the temperature increases, the viscosity of

gases decreases but liquids increases

gases increases but liquids decreases

both gases and liquids increases

both gases and liquids decreases

Question 4: Palette 4/33

AP-EAPCET 2025 MCQ

In a water tank, an air bubble rises from the bottom to the top surface of the water. If the depth of the water in the tank is 7.28 m and atmospheric pressure is 10 m of water, then the ratio of the radii of the bubble at the bottom of the tank and at the top surface of the water is

(Temperature of the water in the tank is constant)

$2: 3$

$5: 6$

$3: 4$

$4: 5$

Question 5: Palette 5/33

AP-EAPCET 2025 MCQ

Water flowing through a pipe of area of cross-section $2 \times 10^{-3} \mathrm{~m}^2$ hits a vertical wall horizontally with a velocity of $12 \mathrm{~ms}^{-1}$. If the water does not rebound after hitting the wall, then the force acting on the wall due to water is

24 N

144 N

288 N

72 N

Question 6: Palette 6/33

AP-EAPCET 2025 MCQ

If two soap bubbles $A$ and $B$ of radii $r_1$ and $r_2$ respectively are kept in vacuum at constant temperature, then the ratio of masses of air inside the bubbles $A$ and $B$ is

$r_2^2: r_1^2$

$r_1^2: r_2^2$

$r_1: r_2$

$r_2: r_1$

Question 7: Palette 7/33

AP-EAPCET 2025 MCQ

A mercury drop of radius 1 cm is divided into $10^6$ droplets of equal size. If surface tension of mercury is $35 \times 10^{-3} \mathrm{Nm}^{-1}$, then the change in surface energy in the process is

$8712 \mu \mathrm{~J}$

8712 erg

$4356 \mu \mathrm{~J}$

4356 erg

Question 8: Palette 8/33

AP-EAPCET 2025 MCQ

An aeroplane of mass $4.5 \times 10^4 \mathrm{~kg}$ and total wing area of $600 \mathrm{~m}^2$ is travelling at a constant height. The pressure difference between the upper and lower surfaces of its wings is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

$500 \mathrm{Nm}^{-2}$

$825 \mathrm{Nm}^{-2}$

$600 \mathrm{Nm}^{-2}$

$750 \mathrm{Nm}^{-2}$

Question 9: Palette 9/33

AP-EAPCET 2025 MCQ

In a hydraulic lift, if the radius of the smaller piston is 5 cm and the radius of the larger piston is 50 cm , then the weight that the larger piston can support when a force of 250 N is applied to the smaller piston is

50 kN

100 kN

40 kN

25 kN

Question 10: Palette 10/33

AP-EAPCET 2025 MCQ

A liquid drop of diameter $D$ splits into 3375 small identical drops. If $S$ is the surface tension of the liquid, then the change in the surface energy in the process is

$44 D^2 S$

$44 \pi D^2 S$

$56 D^2 S$

$56 \pi D^2 S$

Question 11: Palette 11/33

AP-EAPCET 2025 MCQ

If water flows with a velocity of $20 \mathrm{cms}^{-1}$ in a pipe of radius 2 cm , then the flow is (The coefficient of viscosity of water is $10^{-3} \mathrm{~kg} \mathrm{~m}^{-1} \mathrm{~s}^{-1}$ and density of water is $10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ )

turbulant

steady flow

non-viscous

unsteady

Question 12: Palette 12/33

AP-EAPCET 2024 MCQ

Water flows from a tap of diameter 1.5 cm with $75 \times 10^{-5} \mathrm{~m}^3 \mathrm{~s}^{-1}$. Coefficient of viscosity of water is $10^{-3} \mathrm{~Pa}$. The flow is

turbulent with Reynold number less than 6000

steady flow with Reynolds number less than 2000

turbulent with Reynolds number greater than 6000

steady flow with Reynolds number more than 6000

Question 13: Palette 13/33

AP-EAPCET 2024 MCQ

Two cylindrical vessels $A$ and $B$ of different areas of cross-section kept on same horizontal plane are filled with water to the same height. If the volume of water in vessel $A$ is 3 times the volume of water in vessel $B$, then the ratio of the pressures at the bottom of the vessels $A$ and $B$ is

$1: 1$

$1: 3$

$1: 9$

$1: 6$

Question 14: Palette 14/33

AP-EAPCET 2024 MCQ

Water is flowing in streamline manner in a horizontal pipe. If the pressure at a point where cross-sectional area is $10 \mathrm{~cm}^2$ and velocity $1 \mathrm{~ms}^{-1}$ is 2000 Pa , then the pressure of water at another point where the cross-sectional area $5 \mathrm{~cm}^2$ is

2500 Pa

2000 Pa

1000 Pa

500 Pa

Question 15: Palette 15/33

AP-EAPCET 2024 MCQ

A spherical ball of radius $1 \times 10^{-4} \mathrm{~m}$ and of density $10^4 \mathrm{kgm}^{-3}$ falls freely under gravity through a distance $h$ before entering a tank of water. After entering water if the velocity of the ball does not change, then $h$ is (The coefficient of viscosity of water $9.8 \times 10^{-6} \mathrm{Nsm}^{-2}$ )

20.4 cm

20.4 mm

20.4 m

10.2 m

Question 16: Palette 16/33

AP-EAPCET 2024 MCQ

A large tank filled water to a height $h$ is to be emptied through a small hole at the bottom. The ratio of the time taken for the level to fall from $h$ to $\frac{h}{2}$ and that taken for the level to fall from $\frac{h}{2}$ to 0 is

$\sqrt{2}-1$

$\frac{1}{\sqrt{2}}$

$\sqrt{2}$

$\frac{1}{\sqrt{2}-1}$

Question 17: Palette 17/33

AP-EAPCET 2024 MCQ

Depth of a river is 100 m magnitude of compressibility of the water is $05 \times 10^{-9} \mathrm{~N}^{-1} \mathrm{~m}^2$. The fractional compression in water at the bottom of the river is (acceleration due to gravity $=10 \mathrm{~m} / \mathrm{s}^2$ )

$0.9 \times 10^3$

$0.5 \times 10^{-3}$

$2 \times 10^{-3}$

$1.3 \times 10^{-2}$

Question 18: Palette 18/33

AP-EAPCET 2024 MCQ

Two mercury drops, each with same radius $r$ merged to form a bigger drop. $T$ is the surface tension of single drop, then the surface energy of bigger drop is given by

$2 \pi r^2 T$

$2^{\frac{5}{3}} \pi r^2 T$

$2 \pi r^2 T^2$

$2^{\frac{8}{3}} \pi r^2 T$

Question 19: Palette 19/33

AP-EAPCET 2024 MCQ

The radius of cross-section of the cylindrical tube of a spray pump is 2 cm . One end of the pump has 50 fine holes each of radius 0.4 mm . If the speed of flow of the liquid inside the tube is $0.04 \mathrm{~ms}^{-2}$. The speed of ejection of the liquid from the holes is

$6 \mathrm{~ms}^{-1}$

$2 \mathrm{~ms}^{-1}$

$4 \mathrm{~ms}^{-1}$

$3 \mathrm{~ms}^{-1}$

Question 20: Palette 20/33

AP-EAPCET 2024 MCQ

If $S_1, S_2$ and $S_3$ are the tensions at liquid-air, solid-air and solid-liquid interfaces respectively and $\theta$ is the angle of contact at the solid-liquid interface, then

$S_1 \cos \theta+S_2 \sin \theta=S_3$

$S_1 \cos \theta+S_3=S_2$

$S_2 \cos \theta+S_3=S_1$

$S_3 \cos \theta+S_1=S_2$

Question 21: Palette 21/33

AP-EAPCET 2024 MCQ

216 small identical liquid drops each of surface area $A$ coalesce to form a bigger drop. If the surface tension of the liquid is $T$. The energy released in the process is

3604 T

180AT

90AT

12041

Question 22: Palette 22/33

AP-EAPCET 2022 MCQ

A hydraulic lift is shown in the figure. The movable pistons $A, B$ and $C$ are of radius $10 \mathrm{~cm}, 100 \mathrm{~m}$ and 5 cm respectively. If a body of mass 2 kg is placed on piston $A$, the maximum masses that can be lifted by piston $B$ and $C$ are respectively.

AP EAPCET 2022 - 5th July Morning Shift Physics - Fluid Mechanics Question 22 English

200 kg and 500 kg

20 kg and 50 kg

200 kg and 5000 kg

2000 kg and 5000 kg

Question 23: Palette 23/33

AP-EAPCET 2022 MCQ

In a hydraulic lift, compressed air exerts a force $F$ on a small piston of radius 3 cm . Due to this pressure the second piston of radius 5 cm lifts a load of 1875 kg . The value of $F$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$)

1250 N

125 N

6750 N

675 N

Question 24: Palette 24/33

AP-EAPCET 2022 MCQ

In a $U$-shaped tube the radius of one limb is 2 mm and that of other limb is 4 mm . A liquid of surface tension $0.03 \mathrm{~Nm}^{-1}$, density $1500 \mathrm{~kg} \mathrm{~m}^{-3}$ and angle of contact zero is taken in the tube. The difference in the heights of the levels of the liquid in the two limbs is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$)

3 mm

2.5 mm

1 mm

1.5 mm

Question 25: Palette 25/33

AP-EAPCET 2022 MCQ

A steady flow of a liquid of density $\rho$ is shown in figure. At point 1, the area of cross-section is $2 A$ and the speed of flow of liquid is $\sqrt{2} \mathrm{~ms}^{-1}$. At point 2 , the area of cross-section is $A$. Between the points 1 and 2, the pressure difference is $100 \mathrm{~Nm}^{-2}$ and the height difference is 10 cm . The value of $\rho$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$)

AP EAPCET 2022 - 4th July Evening Shift Physics - Fluid Mechanics Question 23 English

$25 \mathrm{~kg} \mathrm{~m}^{-3}$

$30 \mathrm{~kg} \mathrm{~m}^{-3}$

$50 \mathrm{~kg} \mathrm{~m}^{-3}$

$70 \mathrm{~kg} \mathrm{~m}^{-3}$

Question 26: Palette 26/33

AP-EAPCET 2022 MCQ

Statement (A) When the temperature increases the viscosity of gases increases and the viscosity of liquids decreases.

Statement (B) Water does not wet an oily glass because cohesive force of oil is less than that of water.

Statement (C) A liquid will wet a surface of a solid, if the angle of contact is greater than $90^{\circ}$.

A, B and C are false.

A and B false, C is true.

B and C false, A is true.

A and C false, B is true.

Question 27: Palette 27/33

AP-EAPCET 2021 MCQ

What causes the free surface of a liquid to have minimum area?

Viscosity

Surface tension

Diffusion

Pressure

Question 28: Palette 28/33

AP-EAPCET 2021 MCQ

Assertion (A) The upper surface of the wing of an aeroplane is made convex and the lower surface is made concave.

Reason (R) The air currents at the top have smaller velocity and thus less pressure at the bottom than at the top.

Both $A$ and $R$ are true and $R$ is a correct explanation for $A$.

Both $A$ and $R$ are true but $R$ is not a correct explanation for $A$.

$A$ is true, $R$ is false.

$A$ is false, $R$ is true.

Question 29: Palette 29/33

AP-EAPCET 2021 MCQ

A glass flask weighting 390 g, having internal volume 500 cc just floats when half of it is filled with water. Specific gravity of the glass is

2.8

1.8

1.0

2.5

Question 30: Palette 30/33

AP-EAPCET 2021 MCQ

Water does not wet an oily glass because

cohesive force of oil is greater than adhesive force between oil and glass

cohesive force of oil is greater than cohesive force of water

oil repels water

cohesive force of water is greater than adhesive force between water and oil molecules

Question 31: Palette 31/33

AP-EAPCET 2021 MCQ

Identify the incorrect statement regarding Reynold's number $\left(R_e\right)$.

For $R_e < 1000$, flow is laminar.

For $1000 < R_e < 2000$, flow is steady.

For $R_e > 2000$, flow is turbulent.

$R_e$ is a dimensionless number.

Question 32: Palette 32/33

AP-EAPCET 2021 MCQ

The lower end of a capillary tube is dipped into water and it is observed that the water in capillary tube rises by 7.5 cm. Find the radius of the capillary tube used, if surface tension of water is 7.5 $\times$ 10$^{-2}$ Nm$^{-1}$. Angle of contact between water and glass is 0$\Upsilon$ and acceleration due to gravity is 10 ms$^{-2}$.

0.2 cm

0.1 cm

0.4 mm

0.2 mm

Question 33: Palette 33/33

AP-EAPCET 2021 MCQ

An ideal liquid flows through a horizontal tube of variable diameter. The pressure is lowest where the

velocity is highest

velocity is lowest

diameter is largest

velocity is intermediate

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