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Mechanical Properties of Fluids — NEET UG Physics PYQs

292 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.

292 questionsPhysicsSolutions on every page
1

In the measurement of viscosity of liquids using terminal velocity experiment, spherical balls of same radius but having different densities are used. The variation of the terminal

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2

A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface ? (Consider the density of water = 1000 kg m ⁻³ , 1 atm = 1 10⁵ Pa

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3

Water flows in a streamline motion through a horizontal pipe of circular cross-section as shown in the figure. The pressure difference of water between P and Q is 15 Nm ⁻² . The ar

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4

Consider a water tank shown in the figure. It has one wall at x=L and can be taken to be very wide in the z direction. When filled with a liquid of surface tension S and density ,

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5

A thin flat circular disc of radius 4.5 cm is placed gently over the surface of water. If surface tension of water is 0.07 ~N ~m ⁻¹ , then the excess force required to take it away

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6

An ideal fluid is flowing in a non-uniform cross-sectional tube X Y (as shown in the figure) from end X to end Y . If K₁ and K₂ are the kinetic energy per unit volume of the fluid

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7

The amount of energy required to form a soap bubble of radius 2   cm from a soap solution is nearly: (surface tension of soap solution = 0 . 03   N   m - 1 )

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8

The viscous drag acting on a metal sphere of diameter 1 ~mm , falling through a fluid of viscosity 0.8 ~Pa s with a velocity of 2 ~m ~s ⁻¹ is equal to

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9

The venturi-meter works on :

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10

Two copper vessels A and B have the same base area but of different shapes. A takes twice the volume of water as that B requires to fill upto a particular common height. Then the c

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11

A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball v as a function of time t is

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12

If a soap bubble expands, the pressure inside the bubble

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13

The terminal velocity of a copper ball of radius 5 ~mm falling through a tank of oil at room temperature is 10 ~cm ~s ⁻¹ . If the viscosity of oil at room temperature is 0.9 ~kg ~m

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14

The velocity of a small ball of mass M and density ρ , when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is &#961

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15

A liquid does not wet the solid surface if angle of contact is:

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16

A barometer is constructed using a liquid (density = 760   kg   m - 3 ) What would be the height of the liquid column, when a mercury barometer reads 76   cm ? (dens

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17

A capillary tube of radius r is immersed in water and water rises in it to a height h . The mass of the water in the capillary is 5   g . Another capillary tube of radius 2 r

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18

If ratio of terminal velocity of two drops falling in air is 3: 4 , then what is the ratio of their surface area?

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19

Find the height of liquid in capillary tube, if surface tension of liquid = S , radius of capillary tube = r and acceleration due to gravity = g .

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20

Two small spherical metal balls, having equal masses, are made from materials of densities ₁ and ₂ ( ₁=8 ₂ ) and have radii of 1 ~mm and 2 ~mm , respectively. They are made to fall

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21

In a u-tube as shown in a figure, water and oil are in the left side and right side of the tube respectively. The heights from the bottom for water and oil columns are 15 ~cm and 2

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22

A soap bubble having radius of 1   m m is blown from a detergent solution having a surface tension of 2.5 × 10 - 2   N   m - 1 . The pressure inside the bubble

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23

A small hole of area cross-section 2   m m 2 is present near the bottom of a fully filled open tank of height 2   m . Taking g = 10   m   s - 2 , the rate of fl

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24

An object floats in water with 10 % of its volume outside and in oil 30 % of its volume outside. The specific gravity of the oil is

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25

A cylinder of height 1 ~m is filled with water. If a small orifice is made at a height of 0.25 ~m from the ground, the horizontal range of water stream will be

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26

Assertion : A water drop sticks to the glass surface. Reason : Water have properties of surface tension.

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27

If T is the surface tension of the liquid, the change in surface energy by splitting a liquid drop of radius R into 125 droplets of radius r is

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28

Assertion : Water drops take spherical shape when falling freely. Reason : Water has minimum surface tension among all liquids.

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29

At what speed will the velocity of a stream of water be equal to 20 cm of mercury column? (Taking, g =10 ~ms ⁻² )

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30

A rain drop of radius 0.3 mm has a terminal velocity in air 1 ~ms ⁻¹ . The viscosity of air is 18 10⁻⁵ poise. Find the viscous force on the rain drops.

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31

A solid floats with 1 / 4 th of its volume above the surface of water, the density of the solid is

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32

Water flows through a horizontal pipe of variable cross-section at the rate of 20 ~L ~min ⁻¹ . What will be the velocity of water at a point where diameter is 4 cm ?

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33

Find density of ethyl alcohol

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34

The work done in blowing a soap bubble of surface tension 0.06 Nm ⁻¹ from 2 cm radius to 5 cm radius is

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35

A small sphere of radius r falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains terminal

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36

A ring of radius R is kept on water surface. Surface tension of water is T and mass is m . What force required to lift the ring from water surface?

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37

Assertion : Viscous force is measurement of resistance of a liquid. Reason : Work done by viscous force converts kinetic energy into heat energy of liquid.

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38

Assertion : A needle placed carefully on the surface of water may float, whereas a ball of the same material will always sink. Reason : The buoyancy of an object depends both on th

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39

Assertion : Surface tension decreases with increases in temperature. Reason : On increasing temperature kinetic energy increases and intermolecular forces decreases.

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40

A wide hose pipe is held horizontally by a fireman. It delivers water through a nozle at one lirte per second. On increasing the pressure, this increass to two litres per second. T

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41

An ice-berg of density 900 kgm ⁻³ is floating in water of density 1000 kgm ⁻³ . The percentage of volume of ice-berg outside the water is

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42

Two soap bubbles coalesce. It is noticed that, whilst joined together, the radii of the two bubbles are a and b where a b . Then the radius of curvature of interface between the tw

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43

A stream of a liquid of density flowing horizontally with speed v rushes out of a tube of radius r and hits a vertical wall nearly normally. Assuming that the liquid does not rebou

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44

A liquid is allowed into a tube of truncated cone shape. Identify the correct statement from the following.

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45

A U tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 &#16

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46

A solid sphere of volume V and density floats at the interface of two immiscible liquids of densities ₁ and ₂ respectively. If ₁ < < ₂ , then the ratio of volume of the parts of th

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47

Assertion : A piece of ice, with a stone frozen inside it, floats on water in a beaker. When the ice melts, the level of water in the beaker decreases. Reason : Density of stone is

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48

Assertion : A needle placed carefully on the surface of water may float, whereas the ball of the same material will always sink. Reason : The buoyancy of an object depends both on

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49

A capillary tube of length L and radius r is connected with another capillary tube of the same length but half the radius in series. The rate of steady volume flow of water through

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50

A small spherical drop fall from rest in viscous liquid. Due to friction, heat is produced. The correct relation between the rate of production of heat and the radius of the spheri

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51

A liquid of density 800 ~kg / m ^3 is filled in a cylindrical vessel upto a height of 3 m . This cylindrical vessel stands on a horizontal plane. There is a circular hole on the si

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52

A rectangular film of liquid is extended from ( 4 cm × 2 cm ) to ( 5 cm × 4 cm ) . If the work done is 3 × 10 - 4 J , the value of the surface tension of the liquid is

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53

Three liquids of densities, &#961; 1 , &#160; &#961; 2 and &#961; 3 (with, &#961; 1 &#62; &#961; 2 &#62; &#961; 3 ) , having the same value of surface tension, T , rise to the same

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54

Two non-mixing liquids of densities &#961; and n &#961; n &#62; 1 are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this

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55

Water level is maintained in a cylindrical vessel upto a fixed height H . The vessel is kept on a horizontal plane. At what height above the bottom should a hole be made in the ves

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56

The lower end of capillary tube is immresed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level. If the same tube is immersed in water, upto what

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57

Water rises to a height 'h' in capillary tube. If the length of capillary tube above the surface of water is made less than 'h', then:

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58

The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 &#160; mm of mercury. If the density of mercury be 13.6 &#215; 10 3 &#160; k g &#160

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59

The cylindrical tube of a spray pump has radius R , one end of which has n fine holes, each of radius r . If the speed of the liquid in the tube is V , the speed of the ejection of

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60

A wind with speed 40 &#160; m &#160; s - 1 blows parallel to the roof of a house. The area of the roof is 250 &#160; m 2 . Assuming that the pressure inside the house is atmospheri

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61

A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V . If T is the surface tension of the liquid then:

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62

The speed of air flow on the upper and lower surfaces of a wing of an aeroplane are v₁ and v₂ respectively. If A is the cross section area of the wing and is the density of air, th

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63

The work done in increasing the size of a soap film for 10 ~cm 6 ~m to 10 ~cm 11 ~cm is 3 10⁻⁴ ~J . The surface tension of the film is

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64

The working principle of a ball point pen is

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65

A fluid is in streamline flow across a horizontal pipe of variable area of cross section. For this which of the following statements is correct?

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66

The wettability of a surface by a liquid depends primarily on

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67

The cylindrical tube of a spray pump has a cross-section of 8 ~cm ^2 , one end of which has 40 fine holes each of area 10⁻⁸ ~m ^2 . If the liquid flows inside the tube with a speed

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68

A soap bubble of radius r is blown up to form a bubble of radius 2 r under isothermal conditions. If T is the surface tension of soap solution, the energy spent in the blowing

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69

A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks

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70

Horizontal tube of non-uniform cross-section has radii of 0.1 m and 0.05 m respectively at M and N . For a streamline flow of liquid, the rate of liquid flow is

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71

If two soap bubbles of different radii are connected by a tube, then

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72

If there were no gravity, which of the following will not be there for a fluid?

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73

The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of t

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74

A square wire frame of size L is dipped in a liquid. On taking out a membrane is formed. If the surface tension of liquid is T , then force acting on a frame will be

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75

64 spherical rain drops of equal size are falling vertically through air with a terminal velocity 1.5 ~ms ⁻¹ . If these drops coalesce to form a big spherical drop, then terminal v

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76

A frame made of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 50 % , the energy of the soap film wil

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77

The potential energy of a molecule on the surface of a liquid compared to one inside the liquid is

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78

Aerofils are so designed that the speed of air

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79

Two glass plates are separated by water. If surface tension of water is 75 dyne/cm and area of each plate wetted by water is 8 ~cm ^2 and the distance between the plates is 0.12 mm

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80

A rectangular block of mass m and area of cross-section A floats in a liquid of density . If it is given a small vertical displacement from equilibrium it undergoes with a time per

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81

A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends wi

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82

The radius R of the soap bubble is doubled under isothermal condition. If T be the surface tension of soap bubble. The work done in doing so is given by

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83

A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

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84

A raft of wood of mass 120 kg floats in water. The weight that can be put on the raft to make it just sink, should be (d_ raft =600 ~kg / m ^3 )

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85

An ice-cube of density 900 ~kg / m ^3 is floating in water of density 1000 ~kg / m ^3 . The percentage of volume of ice-cube outside the water is

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86

A tank is filled with water upto height H . When a hole is made at a distance h below the level of water. What will be the horizontal range of water jet?

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87

A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by

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88

A soap bubble, blown by a mechanical pump at the mouth of a tube increases in volume with time at a constant rate. The graph that correctly depicts the time dependence of pressure

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89

A particle released from rest is falling through a thick fluid under gravity. The fluid exerts a resistive force on the particle proportional to the square of its speed. Which one

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90

A block of wood is floating on water at 0 ° C with volume V 0 above water. When the temperature of water increases from 0 to 10 ° C , the change in the volume of the block that is

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91

A steel ball is dropped in a viscous liquid. The distance of the steel ball from the top of the liquid is shown below. The terminal velocity of the ball is closest to

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92

A lead shot of 1 ~mm diameter falls through a long column of glycerine. The variation of the velocity with distance covered (s) is correctly represented by

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93

Which of the following diagrams correctly shows the relation between the terminal velocity v _ T of a spherical body falling in a liquid and viscosity of the liquid?

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94

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

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95

Assertion (A) At critical temperature, surface tension of liquids become zero. Reason (R) At critical temperature, intermolecular forces for liquids and gases become equal.

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96

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

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97

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

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98

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 particular d

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99

Viscosity decreases with increase in temperature is the reason for

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100

Statement 1 The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically

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101

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

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102

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 :

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103

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

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104

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

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105

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 cohes

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106

A tank is filled with a liquid and a small hole is made near the bottom of the tank. Consider the speed (v ) of efflux of liquid through the hole. Statements: 1. (v ) depends on th

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107

A tank is filled with water up to a height (h ). A small hole is made at depth (h ) from the free surface. Statements: A. The speed of efflux of water is given by (v= 2 g h ). B. T

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108

Water flows through a horizontal pipe of varying cross-section. Statements: A. Pressure is higher at the wider section of the pipe. B. Pressure is lower where velocity is high. C.

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109

A solid cube is floating in water with half of its volume submerged. Statements: A. The weight of displaced water equals the weight of the cube. B. The density of the cube is half

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110

Match the column tor followings. ( array |c|l|c|l| & Column A & & Column B (i) & Bernoulli's theorem & (A) & v = 2gh (ii) & Law of continuity & (B) & P + 1 2 v² + g h = constant (i

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111

A container filled with liquid is placed on a smooth surface. Two points A and B are in same level as shown, state about pressures at these points for following cases, in which con

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112

Match the column:- ( array |c|l|c|l| & Column 1 & & Column 2 (i) & For concave meniscus & (a) & angle of contact 90^ (iii) & For plane meniscus & (c) & angle of contact = 90^ array

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113

Match the column:- ( array |c|l|c|l| & Column 1 & & Column 2 (i) & Young's Modulus (Y) & (a) & Ratio of longitudinal stress to strain (ii) & Bulk Modulus (K) & (b) & Ratio of volum

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114

( array |c|l|c|l| & Column 1 & & Column 2 (i) & Capillary rise of liquid column & (a) & 2T r g (ii) & Pressure difference across curved liquid surface & (b) & 2T r (iii) & Stress &

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115

What is the estimated average pressure sustained by the femurs, each with a cross-sectional area of 10 cm², supporting the upper part of a human body with a mass of 40 kg?

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116

What is the pressure on a swimmer 10 m below the surface of a lake?

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117

What is the altitude at which the atmosphere, assuming a constant density of 1.29 kg m ⁻³ , would extend?

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118

What is the absolute pressure at a depth of 1000 m in an ocean, where the interior of a submarine with a window area of 20 cm × 20 cm is maintained at sea-level atmospheric pressur

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119

What is the force exerted on the larger piston when a 10 N force is applied to the smaller piston connected by a tightly fitted rubber tube filled with water, given that the diamet

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120

What is the force exerted by compressed air (F1) on a small piston with a radius of 5.0 cm when lifting a car with a mass of 1350 kg in a car lift, and what is the pressure necessa

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