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Mechanical Properties of Fluids — JEE Main & Advanced Physics PYQs

496 previous year questions from Mechanical Properties of Fluids with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

496 questionsPhysicsSolutions on every page
1

Passage: A container of height 2 m, length 2 m and breadth 1 m is made of insulating vertical walls and two large area horizontal metal plates ( M₁ and M₂ ) which extend far beyond

JEE Advanced 2026 Solution View → 2

A liquid of density 600 kg/m ^3 flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0 cm ^2 and that at B is 20 mm ^2 . Both the points A and B

JEE Main 2026 Solution View → 3

A spherical liquid drop of radius R acquires the terminal velocity v₁ when falls through a gas of viscosity . Now the drop is broken into 64 identical droplets and each droplet acq

JEE Main 2026 Solution View → 4

A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is 528 dm ^3 (dm : decimeter). The vessel is placed on a solid block of exactly same height as

JEE Main 2026 Solution View → 5

Eight mercury drops, each of radius r , coalesce to form a bigger drop. The surface energy released in this process is _______. ( S is the surface tension of mercury).

JEE Main 2026 Solution View → 6

A water spray gun is attached to a hose of cross sectional area 30 cm ^2 . The gun comprises of 10 perforations each of cross sectional area 15 mm ^2 . If the water flows in the ho

JEE Main 2026 Solution View → 7

The surface tension of a soap solution is 3.5 10⁻² N/m. The work required to increase the radius of a soap bubble from 1 cm to 2 cm is 10⁻⁶ J. The value of is _____. ( = 22/7 )

JEE Main 2026 Solution View → 8

The surface tension of a soap bubble is 0.03 N/m. The work done in increasing the diameter of bubble from 2 cm to 6 cm is 10⁻⁴ J. The value of is _______. (Take = 3.14 )

JEE Main 2026 Solution View → 9

If an air bubble of diameter 2 mm rises steadily through a liquid of density 2000 kg/m ^3 at a rate of 0.5 cm/s, then the coefficient of viscosity of liquid is _______ Poise. (Take

JEE Main 2026 Solution View → 10

A liquid drop of diameter 2 mm breaks into 512 droplets. The change in surface energy is 10⁻⁶ J. The value of is _______. (Take surface tension of liquid = 0.08 N/m)

JEE Main 2026 Solution View → 11

A tub is filled with water and a wooden cube 10 cm 10 cm 10 cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a m

JEE Main 2026 Solution View → 12

A cubical block of density _ b =600 ~kg / m ³ floats in a liquid of density _ e =900 kg / m ³ . If the height of block is H=8.0 ~cm then height of the submerged part is _ _ _ _ cm.

JEE Main 2026 Solution View → 13

A soap bubble of surface tension 0.04 ~N / m is blown to a diameter of 7 cm. If (15000-x) J of work is done in blowing it further to make its diameter 14 cm, then the value of x is

JEE Main 2026 Solution View → 14

Sixty four rain drops of radius 1 mm each falling down with a terminal velocity of 10 ~cm / s coalesce to form a bigger drop. The terminal velocity of bigger drop is _ _ _ _ cm / s

JEE Main 2026 Solution View → 15

A small metallic sphere of diameter 2 mm and density 10.5 ~g / cm ³ is dropped in glycerine having viscosity 10 Poise and density 1.5 ~g / cm ³ respectively. The terminal velocity

JEE Main 2026 Solution View → 16

An air bubble of volume 2.9 ~cm ³ rises from the bottom of a swimming pool of 5 m deep. At the bottom of the pool water temperature is 17^ C . The volume of the bubble when it reac

JEE Main 2026 Solution View → 17

When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h . If the inner radius of the capillary tube, density of the liqui

JEE Main 2026 Solution View → 18

Given below are two statements: Statement I : Pressure of a fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid. St

JEE Main 2026 Solution View → 19

A spherical body of radius r and density falls freely through a viscous liquid having density and viscosity and attains a terminal velocity v₀ . Estimated maximum error in the quan

JEE Main 2026 Solution View → 20

Surface tension of two liquids (having same densities), T₁ and T₂ , are measured using capillary rise method utilizing two tubes with inner radii of r₁ and r₂ where r₁>r₂ . The mea

JEE Main 2026 Solution View → 21

The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 ~cm / s . The terminal velocity of another ball of same material and having radius 3 mm in the same

JEE Main 2026 Solution View → 22

Water flows through a horizontal tube as shown in the figure. The difference in height between the water columns in vertical tubes is 5 cm and the area of cross-sections at A and B

JEE Main 2026 Solution View → 23

A capillary tube of radius 0.1 mm is partly dipped in water (surface tension 70 dyn / cm and glass water contact angle 0^ ) with 30^ inclined with vertical. The length of water ris

JEE Main 2025 Solution View → 24

Two liquids A and B have _ A and _ B as contact angles in a capillary tube. If K= _A / _B . then identify the correct statement:

JEE Main 2025 Solution View → 25

Two cylindrical vessels of equal cross sectional area of 2 ~m ^2 contain water up to height 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work

JEE Main 2025 Solution View → 26

The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is n times the volume of the bubble

JEE Main 2025 Solution View → 27

A solid steel ball of diameter 3.6 mm acquired terminal velocity 2.45 10⁻² ~m / s while falling under gravity through an oil of density 925 ~kg ~m ⁻³ . Take density of steel as 782

JEE Main 2025 Solution View → 28

Consider a completely full cylindrical water tank of height 1.6 m and cross-sectional area 0.5 ~m ^2 . It has a small hole in its side at a height 90 cm from the bottom. Assume, th

JEE Main 2025 Solution View → 29

Two water drops each of radius 'r' coalesce to from a bigger drop. If ' T ' is the surface tension, the surface energy released in this process is :

JEE Main 2025 Solution View → 30

A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of 100 ~cm ^2 with hinged door is fitted at a depth of 3 m in the partition wall. One

JEE Main 2025 Solution View → 31

In a hydraulic lift, the surface area of the input piston is (6 ~cm ^2 ) and that of the output piston is (1500 ~cm ^2 ). If 100 N force is applied to the input piston to raise the

JEE Main 2025 Solution View → 32

A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water ? (Given : density of water =1000 ~kg ~m ⁻³ )

JEE Main 2025 Solution View → 33

A thin transparent film with refractive index 1.4 , is held on circular ring of radius 1.8 cm . The fluid in the film evaporates such that transmission through the film at waveleng

JEE Main 2025 Solution View → 34

In the experiment for measurement of viscosity ' ' of given liquid with a ball having radius R , consider following statements. A. Graph between terminal velocity V and R will be a

JEE Main 2025 Solution View → 35

Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid. B. As the te

JEE Main 2025 Solution View → 36

The amount of work done to break a big water drop of radius ' R ' into 27 small drops of equal radius is 10 J . The work done required to break the same big drop into 64 small drop

JEE Main 2025 Solution View → 37

An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density 1000 ~kg / m ^3 . If the pressure inside the bubble is 2100 ~N / m ^2 greater

JEE Main 2025 Solution View → 38

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is P₁ . The reading of the pressure gauge falls to P₂

JEE Main 2025 Solution View → 39

An air bubble of radius 1.0 mm is observed at a depth of 20 cm below the free surface of a liquid having surface tension 0.095 ~J / m ^2 and density 10^3 ~kg / m ^3 . The differenc

JEE Main 2025 Solution View → 40

Given below are two statements: Statement I: The hot water flows faster than cold water Statement II: Soap water has higher surface tension as compared to fresh water. In the light

JEE Main 2025 Solution View → 41

A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glyceri

JEE Main 2025 Solution View → 42

A tube of length L is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm , respectively. If the velocity of water entering at po

JEE Main 2025 Solution View → 43

A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If th

JEE Main 2025 Solution View → 44

Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is ______ .

JEE Main 2025 Solution View → 45

A table tennis ball has radius (3 / 2) 10⁻² ~m and mass (22 / 7) 10⁻³ ~kg . It is slowly pushed down into a swimming pool to a depth of d=0.7 ~m below the water surface and then re

JEE Advanced 2024 Solution View → 46

A spherical soap bubble inside an air chamber at pressure P₀=10^5 ~Pa has a certain radius so that the excess pressure inside the bubble is P=144 ~Pa . Now, the chamber pressure is

JEE Advanced 2024 Solution View → 47

Two large, identical water tanks, 1 and 2, kept on the top of a building of height H , are filled with water up to height h in each tank. Both the tanks contain an identical hole o

JEE Advanced 2024 Solution View → 48

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:

JEE Main 2024 Solution View → 49

A spherical ball of radius 1 10⁻⁴ ~m and density 10^5 ~kg / m ^3 falls freely under gravity through a distance h before entering a tank of water, If after entering in water the vel

JEE Main 2024 Solution View → 50

A sphere of relative density and diameter D has concentric cavity of diameter d . The ratio of D d , if it just floats on water in a tank is :

JEE Main 2024 Solution View → 51

A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil =0.8 , speci

JEE Main 2024 Solution View → 52

Small water droplets of radius 0.01 ~mm are formed in the upper atmosphere and falling with a terminal velocity of 10 ~cm / s . Due to condensation, if 8 such droplets are coalesce

JEE Main 2024 Solution View → 53

Correct Bernoulli's equation is (symbols have their usual meaning) :

JEE Main 2024 Solution View → 54

A liquid column of height 0.04 ~cm balances excess pressure of a soap bubble of certain radius. If density of liquid is 8 10^3 ~kg ~m ⁻³ and surface tension of soap solution is 0.2

JEE Main 2024 Solution View → 55

Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : R = Radius of bubble S = Surface tension of bubble)

JEE Main 2024 Solution View → 56

A small ball of mass m and density is dropped in a viscous liquid of density ₀ . After sometime, the ball falls with constant velocity. The viscous force on the ball is :

JEE Main 2024 Solution View → 57

A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is 10 x . The value of x is __________

JEE Main 2024 Solution View → 58

A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of 10 ~N is applied on the surface of water in the thinner arm. The force require

JEE Main 2024 Solution View → 59

Given below are two statements : Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be 0^ . Sta

JEE Main 2024 Solution View → 60

Given below are two statements : Statement I : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. Statement II : The rise

JEE Main 2024 Solution View → 61

Mercury is filled in a tube of radius 2 ~cm up to a height of 30 ~cm . The force exerted by mercury on the bottom of the tube is _____ N. (Given, atmospheric pressure =10^5 Nm ⁻² ,

JEE Main 2024 Solution View → 62

Given below are two statements: Statement I : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation P₁-P₂= g (h₂-h₁ ) . Statement II :

JEE Main 2024 Solution View → 63

A soap bubble is blown to a diameter of 7 ~cm .36960 erg of work is done in blowing it further. If surface tension of soap solution is 40 dyne / cm then the new radius is______ cm

JEE Main 2024 Solution View → 64

A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :

JEE Main 2024 Solution View → 65

A plane is in level flight at constant speed and each of its two wings has an area of 40 m 2 . If the speed of the air is 180 km h - 1 over the lower wing surface and 252 km h - 1

JEE Main 2024 Solution View → 66

A small spherical ball of radius r , falling through a viscous medium of negligible density has terminal velocity v . Another ball of the same mass but of radius 2 r , falling thro

JEE Main 2024 Solution View → 67

A big drop is formed by coalescing 1000 small identical drops of water. If E 1 be the total surface energy of 1000 small drops of water and E 2 be the surface energy of single big

JEE Main 2024 Solution View → 68

A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T , then the work done in the process will be :

JEE Main 2024 Solution View → 69

Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water.

JEE Main 2024 Solution View → 70

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are 70 m s - 1 and 65 m s - 1 respectively. If the wing area

JEE Main 2024 Solution View → 71

The reading of pressure metre attached with a closed pipe is 4 . 5 × 10 4 N m - 2 . On opening the valve, water starts flowing and the reading of pressure metre falls to 2 . 0 × 10

JEE Main 2024 Solution View → 72

Given below are two statements : Statement (I) : Viscosity of gases is greater than that of liquids. Statement (II) : Surface tension of a liquid decreases due to the presence of i

JEE Main 2024 Solution View → 73

An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius 0 . 1 mm is dipped vertically into the liquid through the a

JEE Advanced 2023 Solution View → 74

A cylindrical furnace has height H and diameter D both 1 m . It is maintained at temperature 360 K . The air gets heated inside the furnace at constant pressure P a and its tempera

JEE Advanced 2023 Solution View → 75

A cylindrical furnace has height H and diameter D both 1 m . It is maintained at temperature 360 K . The air gets heated inside the furnace at constant pressure P a and its tempera

JEE Advanced 2023 Solution View → 76

There is an air bubble of radius 1 . 0 mm in a liquid of surface tension 0 . 075 N m – 1 and density 1000 kg m – 3 at a depth of 10 cm below the free surface. The amoun

JEE Main 2023 Solution View → 77

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : A spherical body of radius ( 5 ± 0 . 1 ) mm having a particu

JEE Main 2023 Solution View → 78

The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross-section. Cross-sectional areas at A is 1 . 5 cm 2 , and B is 25 mm 2 , if the speed

JEE Main 2023 Solution View → 79

64 identical drops each charged upto potential of 10 mV are combined to form a bigger drop. The potential of the bigger drop will be _____ mV .

JEE Main 2023 Solution View → 80

Glycerin of density 1 . 25 × 10 3 kg m – 3 is flowing through the conical section of pipe. The area of cross-section of the pipe at its ends are 10 cm 2 and 5 cm 2 and p

JEE Main 2023 Solution View → 81

Eight equal drops of water are falling through air with a steady speed of 10 cm s - 1 . If the drops coalesce, the new velocity is:-

JEE Main 2023 Solution View → 82

The surface tension of soap solution is 3 . 5 × 10 - 2 N m - 1 . The amount of work done required to increase the radius of soap bubble from 10 cm to 20 cm is _____ × 10

JEE Main 2023 Solution View → 83

Figure below shows a liquid being pushed out of the tube by a piston having area of cross section 2 . 0 cm 2 . The area of cross section at the outlet is 10 mm 2 . If the piston is

JEE Main 2023 Solution View → 84

Given below are two statements: Statement I: Pressure in a reservoir of water is same at all points at the same level of water. Statement II: The pressure applied to enclosed water

JEE Main 2023 Solution View → 85

A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg . The area of cross section of the cylinder carrying load is 250 cm 2 . The maximum pressure the smaller pi

JEE Main 2023 Solution View → 86

An air bubble of volume 1 cm 3 rises from the bottom of a lake 40 m deep to the surface at a temperature of 12 ° C . The atmospheric pressure is 1 × 10 5 Pa , the density

JEE Main 2023 Solution View → 87

An air bubble of diameter 6 mm rises steadily through a solution of density 1750 kg m - 3 at the rate of 0 . 35 cm s - 1 . The co-efficient of viscosity of the solution (neglect de

JEE Main 2023 Solution View → 88

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: When you squeeze one end of a tube to get toothpaste out from the

JEE Main 2023 Solution View → 89

A small ball of mass M and density ρ is dropped in a viscous liquid of density ρ 0 . After some time, the ball falls with a constant velocity. What is the viscous force o

JEE Main 2023 Solution View → 90

The surface of water in a water tank of cross section area 750 cm 2 on the top of a house is h m . above the tap level. The speed of water coming out through the tap of cross secti

JEE Main 2023 Solution View → 91

A mercury drop of radius 10 – 3 m is broken into 125 equal size droplets. Surface tension of mercury is 0 . 45 N m – 1 . The gain in surface energy is:

JEE Main 2023 Solution View → 92

If 1000 droplets of water of surface tension 0 . 07 N m - 1 . having same radius 1 mm each, combine to from a single drop. In the process the released surface energy is- Take &#960

JEE Main 2023 Solution View → 93

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, 5 cm . If the tube is dipped in a similar manner in another liquid B

JEE Main 2023 Solution View → 94

A fully loaded boeing aircraft has a mass of 5 . 4 × 10 5 kg . Its total wing area is 500 m 2 . It is in level flight with a speed of 1080 km h - 1 . If the density of air &#9

JEE Main 2023 Solution View → 95

A metal block of base area 0 . 20 m 2 is placed on a table, as shown in figure. A liquid film of thickness 0 . 25 mm is inserted between the block and the table. The block is pushe

JEE Main 2023 Solution View → 96

Surface tension of a soap bubble is 2 . 0 × 10 - 2 N m - 1 . Work done to increase the radius of soap bubble from 3 . 5 cm to 7 cm will be : [Take π = 22 7 ]

JEE Main 2023 Solution View → 97

A spherical drop of liquid splits into 1000 identical spherical drops. If u i is the surface energy of the original drop and u f is the total surface energy of the resulting drops,

JEE Main 2023 Solution View → 98

A spherical ball of radius 1 mm and density 10 . 5 g cc - 1 is dropped in glycerine of coefficient of viscosity 9 . 8 poise and density 1 . 5 g cc - 1 . Viscous force on the ball w

JEE Main 2023 Solution View → 99

The velocity of a small ball of mass 0 . 3 g and density 8 g cc - 1 when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine

JEE Main 2022 Solution View → 100

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Clothes containing oil or grease stains cannot be cleaned b

JEE Main 2022 Solution View → 101

A pressure-pump has a horizontal tube of cross-sectional area 10 cm 2 for the outflow of water at a speed of 20 m s - 1 . The force exerted on the vertical wall just in front of th

JEE Main 2022 Solution View → 102

Consider a cylindrical tank of radius 1 m is filled with water. The top surface of water is at 15 m from the bottom of the cylinder. There is a hole on the wall of cylinder at a he

JEE Main 2022 Solution View → 103

The diameter of an air bubble which was initially 2 mm , rises steadily through a solution of density 1750 ~kg / m ^3 at the rate of 0.35 ~cm / s . Coefficient of viscosity of the

JEE Main 2022 Solution View → 104

A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm . If the internal pressure of the smaller bubble of radius 3 cm in the above sy

JEE Main 2022 Solution View → 105

Two cylindrical vessels of equal cross-sectional area 16 cm 2 contain water upto heights 100 cm and 150 cm respectively. The vessels are interconnected so that the water levels in

JEE Main 2022 Solution View → 106

A water drop of radius 1 cm is broken into 729 equal droplets. If surface tension of water is 75 dyne cm - 1 , then the gain in surface energy upto first decimal place will be [Giv

JEE Main 2022 Solution View → 107

A drop of liquid of density ρ is floating half immersed in a liquid of density σ and surface tension 7 . 5 × 10 - 4 N cm - 1 . The radius of drop in cm will be : (Ta

JEE Main 2022 Solution View → 108

A small spherical ball of radius 0 . 1 mm and density 10 4 kg m - 3 falls freely under gravity through a distance h before entering a tank of water. If, after entering the water th

JEE Main 2022 Solution View → 109

A water drop of radius 1 μ m falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is 1 . 8 × 10 - 5 N s m - 2 and its de

JEE Main 2022 Solution View → 110

A liquid of density 750 kg m - 3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A 1 = 1 . 2 × 10 - 2 m 2 to A 2 = A 1 2 . The pressure diffe

JEE Main 2022 Solution View → 111

A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0 . 075 N m - 1 . In this process the gain in surface energy will be

JEE Main 2022 Solution View → 112

The velocity of a small ball of mass m and density d 1 , when dropped in a container filled with glycerine, becomes constant after some time. If the density of glycerine is d 2 , t

JEE Main 2022 Solution View → 113

The area of cross-section of a large tank is 0 . 5 m 2 . It has a narrow opening near the bottom having area of cross-section 1 cm 2 . A load of 25 kg is applied on the water at th

JEE Main 2022 Solution View → 114

If p is the density and η is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d , the correct formula for Reynolds number R e is

JEE Main 2022 Solution View → 115

An ideal fluid of density 800 kg m - 3 , flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to a 2 . The pressure difference between

JEE Main 2022 Solution View → 116

The terminal velocity v t of the spherical rain drop depends on the radius r of the spherical rain drop as

JEE Main 2022 Solution View → 117

The velocity of upper layer of water in a river is 36 km h - 1 . Shearing stress between horizontal layers of water is 10 - 3 N m - 2 . Depth of the river is _____ m . (Co-efficien

JEE Main 2022 Solution View → 118

A soft plastic bottle, filled with water of density 1 gm / cc , carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a ma

JEE Advanced 2021 Solution View → 119

A soft plastic bottle, filled with water of density 1 gm / cc , carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a ma

JEE Advanced 2021 Solution View → 120

A cylindrical tube, with its base as shown in the figure., is filled with water. It is moving down with a constant acceleration a along a fixed inclined plane with angle θ = 4

JEE Advanced 2021 Solution View →
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