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Fluid Mechanics — JEE Practice

65 practice questions across 4 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

4 Topics65 Questions

Pressure & Pascal's Law(18 Qs)

easy (7)

Q1Pressure at a depth h in a fluid of density ρ is:Q2SI unit of pressure is:Q3Pascal's law states that pressure applied to an enclosed fluid is:Q41 atmosphere is equal to:Q5A hydraulic lift works on the principle of:Q6Gauge pressure is the difference between:Q7Pressure at the same depth in a static fluid is:

medium (6)

Q1A U-tube manometer contains mercury (ρ = 13600 kg/m³). If one arm shows a height difference of 5 cm, the pressure difference is:Q2In a hydraulic press, if the area ratio is 100:1, a force of 10 N on the small piston produces on the large piston:Q3The pressure at the bottom of a lake 10 m deep (ρ = 1000 kg/m³) above atmospheric is:Q4If a barometer reads 76 cm of mercury, what is the atmospheric pressure in Pa?Q5A hydraulic brake system has master cylinder of area 2 cm² and slave cylinder of area 20 cm². If 50 N is applied at master, braking force is:Q6An inverted U-tube manometer is used to measure:

hard (5)

Q1A cylindrical vessel of radius R and height H is full of water. The force on the curved surface due to water is:Q2A U-tube with two different liquids of densities ρ₁ and ρ₂ is in equilibrium. If heights are h₁ and h₂ respectively, then:Q3A container of cross-section A has liquid of density ρ to height h. The thrust on the base is ρghA but weight of liquid is ρghA only for vertical walls. For outward-sloping walls:Q4In a hydraulic system, if the small piston moves 20 cm to raise the large piston by 0.5 cm, the mechanical advantage is:Q5A closed vessel full of water with a hole of area a at depth h. With a piston of area A pressing with force F, exit velocity is:

Buoyancy & Archimedes' Principle(15 Qs)

easy (5)

Q1Archimedes' principle states that buoyant force equals:Q2An object floats when its density is:Q3The apparent weight of a submerged object is:Q4A block of wood floats in water with 2/3 of its volume submerged. Its density is:Q5Buoyant force on a body immersed in fluid depends on:

medium (6)

Q1A solid sphere of radius 5 cm and density 500 kg/m³ floats in water. The fraction of volume above water is:Q2A body weighs 50 N in air and 30 N in water. The buoyant force is:Q3A 200 g object has volume 250 cm³. When placed in water, it will:Q4A boat floats in a lake with a stone inside. If the stone is thrown into the water, the lake level:Q5The relative density of ice is 0.9. The percentage of iceberg above water is:Q6An object of mass 10 kg and volume 0.02 m³ is submerged in water. The net upward force is:

hard (4)

Q1A cylinder of density ρ_s, length L, and cross-section A floats vertically in a liquid of density ρ_l with length l submerged. If pushed down slightly and released, the time period of oscillation is:Q2A body of density ρ is dropped from rest into a lake of density σ (σ > ρ). The maximum depth it reaches before returning is (h = drop height):Q3A hollow sphere has outer radius R and inner radius r. It just floats in water. The density of the material is:Q4A balloon of volume V is filled with gas of density ρ_g in air of density ρ_a. The mass of the balloon envelope is m. The balloon will rise if:

Bernoulli's Theorem & Applications(16 Qs)

easy (5)

Q1Bernoulli's theorem is based on conservation of:Q2According to Bernoulli's principle, where fluid velocity is high, pressure is:Q3The equation of continuity for fluid flow is A₁v₁ = A₂v₂. This represents conservation of:Q4Torricelli's theorem gives the velocity of efflux as:Q5A venturi meter is used to measure:

medium (6)

Q1Water flows through a pipe of varying cross-section. If velocity at a section of area 10 cm² is 5 m/s, velocity at a section of area 2 cm² is:Q2The speed of efflux from a hole at 5 m below the surface of water in a large tank is:Q3In a horizontal pipe, pressure at point A is 3 × 10⁵ Pa and velocity is 2 m/s. If velocity at point B is 4 m/s, pressure at B is (ρ = 1000 kg/m³):Q4An aeroplane wing has air speed 70 m/s above and 63 m/s below. If wing area is 2.5 m², the lift force is (ρ_air = 1.3 kg/m³):Q5A Pitot tube is used to measure:Q6Water flows at 3 m/s through a pipe of radius 2 cm. The volume flow rate is:

hard (5)

Q1A large tank has a small hole at depth h from the surface. The horizontal range of the water jet from the hole at height y from the ground is maximum when:Q2A cylindrical tank has a hole at height h from bottom. Time to empty from level H to h is (A = tank area, a = hole area):Q3In a siphon, the maximum height at which the siphon can work is limited by:Q4A tank has two holes, one at depth h₁ and another at h₂ from the surface. The two jets meet the ground at the same point if:Q5The rate of flow of water through a horizontal tube is Q. If the radius is halved, the new flow rate (assuming Poiseuille's flow) becomes:

Viscosity & Surface Tension(16 Qs)

easy (5)

Q1The SI unit of coefficient of viscosity is:Q2Surface tension acts:Q3Terminal velocity is reached when:Q4Stokes' law gives the viscous force on a sphere as:Q5The phenomenon of rise or fall of liquid in a capillary tube is called:

medium (6)

Q1A steel ball of radius 2 mm falls through glycerine (η = 1.5 Pa·s, ρ = 1260 kg/m³). If ρ_steel = 7800 kg/m³, terminal velocity is:Q2Water rises to 10 cm in a capillary tube of radius 0.2 mm. In a tube of radius 0.1 mm, it will rise:Q3The excess pressure inside a soap bubble of radius R is:Q4If the angle of contact is obtuse (>90°), the liquid in the capillary tube:Q5Two soap bubbles of radii r₁ and r₂ coalesce isothermally. The radius of new bubble is:Q6Reynolds number is dimensionless and helps determine:

hard (5)

Q1A liquid drop of radius R breaks into 1000 identical droplets. The work done against surface tension is:Q2In Stokes' flow, if the radius of the sphere is doubled, the terminal velocity becomes:Q3The energy needed to blow a soap bubble of radius R from a film is:Q4A capillary tube is immersed vertically in water. The meniscus shape is due to:Q5If temperature increases, the coefficient of viscosity of a liquid:

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