JEE Advanced Mechanical Properties of Fluids — previous year questions
54 questions from 2024, 2021, 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2009, 2008, 2005, 2004, 2003, 2002, 2001, 2000, 1998, 1997, 1995, 1994, 1992, 1991, 1988, 1986, 1985, 1984, 1983, 1982, 1980, 1979, 1978.
- A train with cross-sectional area Sₜ is moving with speed vₜ inside a long tunnel of cross-sectional area S₀…
- Two large, identical water tanks, 1 and 2, kept on the top of a building of height H, are filled with water…
- 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…
- A spherical soap bubble inside an air chamber at pressure P₀ = 10⁵ Pa has a certain radius so that the excess…
- A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a…
- An open-ended U-tube of uniform cross-sectional area contains water (density 10³ kg m⁻³). Initially the water…
- A cubical solid aluminium (bulk modulus =-VdP/dV =70 GPa) block has an edge length of 1 m on the surface of…
- When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to…
- A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is…
- A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T₁ and T₂ of different…
- A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. The water…
- A drop of liquid of radius R = 10⁻² m having surface tension S = 0.1/(4π) Nm⁻¹ divides itself into K…
- Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is…
- Consider two solid spheres P and Q each of density 8 gm cm⁻³ and diameters 1 cm and 0.5 cm, respectively.…
- A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own…
- Two spheres P and Q of equal radii have densities ρ₁ and ρ₂, respectively. The spheres are connected by a…
- A glass capillary tube is of the shape of a truncated cone with an apex angle α so that its two ends have…
- A person in lift is holding a water jar, which has a small hole at the lower end of its side. When the lift…
- A solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k.…
- A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length…
- An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury…
- A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially…
- Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m^2. The…
- STATEMENT-1 : The stream of water flowing at high speed from a garden hose pipe tends to spread like a…
- A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the…
- Water is filled in a container upto height 3 m. A small hole of area a is punched in the wall of the…
- A U tube is rotated about one of it's limbs with an angular velocity ω. Find the difference in height H of…
- A tube has two area of cross-sections as shown in figure. The diameters of the tube are 8 mm and 2 mm. Find…
- A uniform wire having mass per unit length λ is placed over a liquid surface. The wire causes the liquid to…
- Shown in the figure is a container whose top and bottom diameters are D and d respectively. At the bottom of…
- A bubble having surface tension T and radius R is formed on a ring of radius b (b ll R). Air is blown inside…
- A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance ell and h are…
- A uniform solid cylinder of density 0.8 g/cm³ floats in equilibrium in a combination of two non-mixing…
- A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the…
- A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the…
- Water from a tap emerges vertically downwards with an initial speed of 1.0 m s⁻¹. The cross-sectional area of…
- A non-viscous liquid of constant density 1000 kg/m³ flows in a streamline motion along a tube of variable…
- A homogeneous solid cylinder of length L (L < H/2), cross-sectional area A/5 is immersed such that it floats…
- A container of large uniform cross-sectional area A resting on a horizontal surface, holds two immiscible,…
- A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the…
- A ball of density d is dropped on to a horizontal solid surface. It bounces elastically from the surface and…
- A piece of metal floats on mercury. The coefficients of volume expansion of the metal and mercury are γ₁ and…
- A solid sphere of radius R made of a material of bulk modulus K is surrounded by a liquid in a cylindrical…
- A vessel contains oil (density = 0.8 gm/cm³) over mercury (density = 13.6 gm cm³). A homogeneous sphere…
- A block of ice with a lead shot embedded in it is floating on water contained in a vessel. The temperature of…
- The spring balance A reads 2 kg with a block m suspended from it. A balance B reads 5 kg when a beaker with…
- A wooden plank of length 1 m and uniform cross-section is hinged at one end to the bottom of a tank as shown…
- A U-tube of uniform cross section (see Fig) is partially filled with liquid I. Another liquid II which does…
- A barometer made of a very narrow tube (see Fig) is placed at normal temperature and pressure. The…
- A body floats in a liquid contained in a beaker. The whole system as shown in Figure falls freely under…
- A man is sitting in a boat which is floating in a pond. If the man drinks some water from the pond, the level…
- A boat floating in a water tank is carrying a number of large stones. If the stones are unloaded into water,…
- A cube of wood supporting 200 gm mass just floats in water. When the mass is removed, the cube rises by 2 cm.…
- A column of mercury of 10 cm length is contained in the middle of a narrow horizontal 1 m long tube which is…