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Fluid Mechanics — JEE Main & Advanced Physics PYQs

84 previous year questions from Fluid Mechanics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

As depicted in the figure, the heights of the mercury surfaces in the two arms of a manometer are 2 cm and 8 cm . The atmospheric pressure is given as 1.01 10^5 N m ⁻² . Calculate

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 2

The surface of water in a water tank located on the top of a house is 4 m above the tap level. Determine the pressure of water at the tap when the tap is closed. Is it necessary to

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A glass filled completely with water has a bottom area of 20 cm ^2 , a top area of 20 cm ^2 , a height of 20 cm , and a volume of half a litre. By considering the equilibrium of th

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As shown in the figure, the cross-sectional area of the wider tube is 900 cm ^2 . If the boy standing on the piston weighs 45 kg , determine the difference in the water levels betw

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A glass filled completely with water has a bottom area of 20 cm ^2 , a top area of 20 cm ^2 , a height of 20 cm , and a volume of half a litre. By considering the equilibrium of th

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A glass full of water has a bottom area of 20 cm ^2 , a height of 20 cm , and a volume of 0.5 L . Assume the glass is enclosed by a jar and the air within the jar is entirely evacu

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In a manometer, the heights of the mercury surfaces in its two arms are 2 cm and 8 cm . The arm exposed to the atmosphere contains the 8 cm surface. The atmospheric pressure is 1.0

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A glass full of water is enclosed by a jar, and the air within the jar is entirely evacuated. The force applied by the water on the bottom of the glass and the net vertical force e

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Suppose water is used to construct a barometer. What will be the height of the water column at standard atmospheric pressure ( 76 cm of mercury)?

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Determine the force exerted by the water on a 2 m ^2 plane surface of a large stone situated at the bottom of a sea 500 m deep. Does the force depend on the orientation of the surf

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A rectangular tank of dimensions 3 m 2 m 1 m is filled with water. Consider a vertical side of area 2 m 1 m and a horizontal strip of width x metre within this side, located at a d

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An ornament weighs 36 g in air and 34 g in water. Assuming the ornament is prepared by mixing some copper with gold, determine the amount of copper present in it. The specific grav

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An ornament weighs 36 g in air and 34 g in water. The goldsmith claims that no copper or other material has been mixed with the gold, but rather that some cavities might have been

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As shown in the figure, a metal piece having a mass of 160 g rests in equilibrium within a glass of water. The piece makes contact with the bottom of the glass at only a few points

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A ferry boat has an internal volume of 1 m ^3 and a weight of 50 kg . Neglecting the thickness of the wood, determine the fraction of the boat's volume that is immersed in water.

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A ferry boat has an internal volume of 1 m ^3 and a weight of 50 kg . If a leak develops in the bottom and water begins coming in, what fraction of the boat's volume will be filled

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A cubical block of ice floating in water must support a metal piece weighing 0.5 kg . Determine the minimum edge length of the block such that it does not sink in water. The specif

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As shown in the figure, a cube of ice floats partly in water and partly in K.oil. Determine the ratio of the volume of ice immersed in water to that immersed in K.oil. The specific

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A cubical box is to be built from iron sheets 1 mm thick. Determine the minimum value of the external edge so that the cube does not sink in water. The density of iron is 8000 kg m

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A cubical block of wood weighing 200 g has a lead piece fastened underneath. Determine the mass of the lead piece required to just allow the block to float in water. The specific g

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A lead piece is fastened to the top surface of a cubical block of wood weighing 200 g . Determine the mass of the lead piece if the block floats with its upper surface just dipping

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A cubical metal block with an edge of 12 cm floats in mercury such that one-fifth of its height is submerged. Water is then poured until the upper surface of the block is just imme

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A hollow spherical body with inner and outer radii of 6 cm and 8 cm respectively floats half-submerged in water. Determine the density of the material of the sphere.

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A solid sphere with a radius of 5 cm floats in water. If a maximum load of 0.1 kg can be placed on it without getting the load wet, determine the specific gravity of the sphere's m

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Determine the ratio of the weights of a 1 kg block of iron and a 1 kg block of wood, as measured by a spring balance. The density of iron is 7800 kg m ⁻³ , the density of wood is 8

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A cylindrical object with an outer diameter of 20 cm and a mass of 2 kg floats in water, keeping its axis vertical. If it is slightly depressed and subsequently released, determine

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A vertical spring supports a cylindrical object with an outer diameter of 10 cm , a height of 20 cm , and a density of 8000 kg m ⁻³ . The object rests half dipped in water in its e

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A cylindrical object of outer diameter 10 cm , height 20 cm , and density 8000 kg m ⁻³ is held by a vertical spring of spring constant 500 N m ⁻¹ . The object is initially in equil

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A wooden block of mass 0.5 kg and density 800 kg m ⁻³ is attached to the free end of a vertical spring having a spring constant of 50 N m ⁻¹ , which is fixed at the bottom. The ent

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 30

A wooden block of mass 0.5 kg and density 800 kg m ⁻³ is attached to the free end of a vertical spring having a spring constant of 50 N m ⁻¹ , which is fixed at the bottom. The ent

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 31

An ice cube with an edge of 4 cm is placed into an empty cylindrical glass having an inner diameter of 6 cm . The ice melts uniformly from each side, continuously maintaining its c

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A U-tube containing a liquid is subjected to a constant horizontal acceleration a₀ . Given that the separation between the vertical limbs is l , determine the difference in the liq

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At a certain confluence, river Yamuna mixes with the river Chambal and becomes river Kaveri. Suppose Yamuna has a width of 12 m , Chambal has a width of 8 m and Kaveri has a width

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Water flows through a horizontal tube of variable cross section as shown in the figure. The cross-sectional areas at A and B are 4 mm ^2 and 2 mm ^2 respectively. If 1 cc of water

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Water flows through a horizontal tube of variable cross section. The cross-sectional areas at A and B are 4 mm ^2 and 2 mm ^2 respectively. Given that 1 cc of water enters through

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Water flows through a horizontal tube of variable cross section. The cross-sectional areas at A and B are 4 mm ^2 and 2 mm ^2 respectively. If 1 cc of water enters through A per se

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Water flows through a vertical tube of variable cross section. The cross-sectional areas at A and B are 4 mm ^2 and 2 mm ^2 respectively. If 1 cc of water enters through A per seco

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A tube with cross sections at A and B , having areas of 4 mm ^2 and 2 mm ^2 respectively, is kept vertical with B positioned upward. The distance separating A and B is 15 16 cm . W

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A tube with cross sections at A and B , having areas of 4 mm ^2 and 2 mm ^2 respectively, is kept vertical with B positioned upward. The distance separating A and B is 15 16 cm . W

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A tube with cross sections at A and B , having areas of 4 mm ^2 and 2 mm ^2 respectively, is kept vertical with B positioned upward. The distance separating A and B is 15 16 cm . W

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Water travels through a tube as shown in the figure. The areas of cross section at A and B are 1 cm ^2 and 0.5 cm ^2 respectively. The height difference between A and B is 5 cm . I

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 42

Two speakers S₁ and S₂ , powered by a common amplifier, are situated at y = 1.0 m and y = -1.0 m as shown in the figure. These speakers vibrate in phase at 600 Hz . A man is standi

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Water is flowing through a horizontal tube as depicted in the figure. Given that the difference in heights of the water columns in the vertical tubes is 2 cm , and the areas of cro

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Water is flowing through the tube depicted in the figure. The cross-sectional areas of the wide and narrow portions of the tube are 5 cm ^2 and 2 cm ^2 , respectively. If the rate

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Water leaks from an open tank via a hole of area 2 mm ^2 at the bottom. Assume the tank is filled with water to a height of 80 cm and has a cross-sectional area of 0.4 m ^2 . The p

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 46

A water level is maintained up to a fixed height H in a cylindrical vessel. The vessel rests on a horizontal plane. At what height above the bottom should a hole be made in the ves

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 47

A liquid can readily change its shape while a solid cannot, because

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 48

Given the equations P = _ S 0 F S and P₁ - P₂ = g z , which of the following statements applies to an elevator that is accelerating upward?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 49

Three vessels, as shown in the figure, possess identical base areas. Equal volumes of a liquid are poured into the three vessels. The force acting on the base will be

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A siphon is depicted in the figure. The liquid present in the setup is water. Determine the pressure difference P_B - P_A between points A and B .

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A beaker containing a liquid is placed inside a large closed jar. If the air within the jar is continuously pumped out, the pressure in the liquid near the bottom will

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The pressure in a liquid is equal at two points in the same horizontal plane. Consider an elevator accelerating upward and a car accelerating on a horizontal road. This statement i

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Three identical cylindrical vessels A, B, and C contain equal masses of three liquids. The densities of the liquids satisfy _A < _B < _C . The force exerted on the base will be

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A barometer placed inside an upward accelerating elevator reads 76 cm . The air pressure within the elevator is

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To assemble a barometer, a tube of length 1 m is completely filled with mercury and inverted in a mercury cup. On a certain day, the barometer reading is 76 cm . Suppose a 1 m tube

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A piece of wood is floating in water kept inside a bottle. The bottle is connected to an air pump. Neglecting the compressibility of water, when additional air is pushed into the b

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Water is kept in a beaker, and a wooden object floats in it. The object is located near one side of the beaker, as shown in the figure. Let P₁ , P₂ , and P₃ denote the pressures at

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Water flows into end A of a cylindrical tube AB at a speed v₁ and exits from end B at a speed v₂ . The tube remains entirely full of water at all times. Consider three cases: in ca

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Water flows through a long horizontal tube. Suppose P_A and P_B represent the pressures at two distinct points A and B within the tube.

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Bernoulli's theorem is based upon the conservation of

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 61

Water and mercury fill two cylindrical vessels to an identical height. Each vessel features a hole in the wall near its bottom. The velocities of the water and mercury emerging fro

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 62

A large cylindrical tank contains a hole of area A at its bottom. Water is poured into the tank via a tube of the same cross-sectional area A , which ejects water at a speed v .

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Let P₁ denote the pressure at the surface of the mercury inside a barometer tube, while P₂ represents the pressure at the mercury surface in the cup.

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Suspended from a spring balance is a 20 N metal block. A beaker containing some water is placed on a weighing machine, which initially reads 40 N . The spring balance is subsequent

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When at rest, a barometer kept inside an elevator shows a reading of 76 cm . If the elevator ascends with increasing speed, the reading will become

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 66

A metal cube is placed inside an empty vessel. When water is added to the vessel such that the cube is completely immersed, the force on the bottom of the vessel in contact with th

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 67

A closed cubical box is entirely filled with water and undergoes a horizontal acceleration a towards the right. The resultant normal force exerted by the water on the top of the bo

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A closed cubical box is completely filled with water and is accelerated horizontally towards right with an acceleration a . Let the water push the left wall by a force F₁ and the r

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A solid is fully immersed in a liquid. The force exerted by the liquid on the solid will

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 70

A closed vessel is half-filled with water. Air is pumped out through a hole located near the top of the vessel.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 71

For a streamline flow,

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A solid is floating in a liquid in a partially dipped state.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 73

Water flows through two identical tubes A and B . In a specified time interval, a volume V₀ of water passes through tube A while 2V₀ passes through tube B . Which of the following

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 74

A spring balance measures the weight of an empty balloon to be W₁ . After filling the balloon with air, its weight becomes W₂ . Let w denote the weight of the air itself. Disregard

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 75

Water flows in streamline motion through a tube having a horizontal axis. Consider two points, A and B , inside the tube at an identical horizontal level.

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An open tank filled with a liquid has a small hole near its bottom. The speed of the ejected liquid does not depend on the

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An open tank filled with a liquid has a small hole near its bottom. The speed of the ejected liquid does not depend on the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 78

Water flows in streamline motion through a tube having a horizontal axis. Consider two points, A and B , inside the tube at an identical horizontal level.

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A solid is fully immersed in a liquid. The force exerted by the liquid on the solid will

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 80

A closed vessel is half-filled with water. Air is pumped out through a hole located near the top of the vessel.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 81

A spring balance measures the weight of an empty balloon to be W₁ . After filling the balloon with air, its weight becomes W₂ . Let w denote the weight of the air itself. Disregard

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 82

A solid is floating in a liquid in a partially dipped state.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 83

Water flows through two identical tubes A and B . In a specified time interval, a volume V₀ of water passes through tube A while 2V₀ passes through tube B . Which of the following

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 84

For a streamline flow,

Concepts Of Physics MCQ Edition [Volume 1] Solution View →
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