Properties of Solids and Liquids — practice questions

133 curated practice questions from Properties of Solids and Liquids (Physics JEE Advanced, NTA Exams) — 54 medium, 79 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.

• A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in…
• A vessel contains oil of density 0.8 gcm –3 floating over mercury of density 13.6 gcm –3 . A homogeneous sphere floats…
• Water is flowing continuously from a tap having an internal diameter 8 × 10 –3 m. The velocity as it leaves the tap is…
• Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of water is P at a point…
• Two identical rods are connected between two containers. One of them is at 100°C containing water and another is at 0°C…
• One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W 1 is…
• If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquids gets changed. In…
• A tank with a square base of area 2.0 m 2 is divided into two compartments by a vertical partition in the middle. There…
• In the diagram shown, the difference in the two tubes of the manometer is 5 cm, the cross section of the tube at A and…
• When temperature of a gas is 20°C and pressure is changed from P 1 = 1.01 × 10 5 Pa to P 2 = 1.165 × 10 5 Pa then the…
• A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of density ρ 1 = 900 kg m –3 and…
• Figure shows the stress-strain graphs for materials A and B. From the graph it follows that
• A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical from a…
• A ball is made of a material of density ρ where ρ oil water with ρ oil and ρ water representing the densities of oil…
• A long metal rod of length  and relative density σ is held vertically with its lower end just touching the surface of…
• A bimetallic strip is formed out of two identical strips one of copper and the other of brass. The co-efficients of…
• An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open…
• There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d 1 and d 2 are filled in…
• Two rods of different materials having co-efficients of thermal expansion α 1 , α 2 and Young’s modulii Y 1 , Y 2…
• A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of density ρ 1 = 900 kg m –3 and…
• Water of volume 2 litre in a container is heated with a coil of 1 kW at 27°C. The lid of the container is open and…
• According to Hooke’s law, within the elastic limit stress/strain = constant. This constant depends on the type of…
• A tank is filled to a height H. The range of water coming out of a hole which is a depth H/4 from the surface of water…
• Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is r , the…
• A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of density ρ 1 = 900 kg m –3 and…
• Statement I : When a body floats such that its parts are immersed into two immiscible liquids then force exerted by…
• Two bars A and B of circular cross section and same volume and made of the same material are subjected to tension. If…
• A uniform rod of mass m, length L, area of cross-section A is rotated about an axis passing through one of its ends and…
• Statement I : All the raindrops hit the surface of the earth with the same constant velocity. Statement II : An object…
• The limbs of a glass U-tube are lowered into vessels A and B, A containing water. Some air is pumped out through the…
• A rod of length 6 m has a mass 12 kg. It is hinged at one end A at a distance of 3 m below the water surface. The…
• A cylindrical tank has a hole of diameter 2 r in its bottom. The hole is covered wooden cylindrical block of diameter 4…
• Statement-1 : The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when…
• A cube of mass m and density D is suspended form the point P by a spring of stiffness k. The system is kept inside a…
• The tension in a string holding a solid block below the surface of a liquid (where ρ liquid > ρ block ) as in shown in…
• When liquid medicine of density ρ is to be put in the eye, it is done with the help of a dropper. As the bulb on the…
• Two identical cylindrical vessels, each of base area A, have their bases at the same horizontal level. They contain a…
• Two communicating vessels contain mercury. The diameter of one vessel is four times the diameter of the other. A column…
• If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquids gets changed. In…
• According to Hooke’s law, within the elastic limit stress/strain = constant. This constant depends on the type of…
• A wall has two layers A and B , each made of different material. Both the layers have the same thickness. The thermal…
• Statement I : Pascal’s law is the working principal of a hydraulic lift. Statement II : Pressure is equal to thrust…
• 2 kg of ice at –20°C is mixed with 5 kg of water at 20°C in an insulating vessel having a negligible heat capacity…
• A solid sphere of radius R, made up of a material of bulk modulus K is surrounded by a liquid in a cylindrical…
• Two capillary tubes A and B of equal radii r a = r b = r and equal lengths  a =  b =  are held horizontally. When…
• A glass capillary tube is of the shape of a truncated cone with an apex angle α so that its two ends have cross…
• A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of density ρ 1 = 900 kg m –3 and…
• If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquids gets changed. In…
• A U-tube is partially filled with water. Oil, which does not mix with water, is next poured into one side until water…
• If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquids gets changed. In…
• Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle ABC …
• A cubical block of steel of each side equal to  is floating on mercury in a vessel. The densities of steel and mercury…
• The following four wires are made of the same material. Which of these will have the largest extension when the same…
• A heavy block of mass 150 kg hangs with the help of three vertical wires of equal length and equal cross sectional area…
• In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the lower and upper surfaces of the wing…
• The figure shows a liquid of density ρ flowing through a tube with velocity v. The h 1 and h 2 are the heights of…
• A cubical block of wood of specific gravity 0.5 and a chunk of concrete of specific gravity 2.5 are fastened together…
• If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquids gets changed. In…
• In which of the following processes, convection does not take place primarily ?
• A substance breaks down under a stress of 10 5 Pa. If the density of the wire is 2 × 10 3 kg/m 3 , find the minimum…
• A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant…
• A cylinder of radius R , made of a material of thermal conductivity K 1 , is surrounded by a cylindrical shell of inner…
• Two solid spheres A and B of equal volumes but of different densities d A and d B are connected by a string. They are…
• A bar of cross section A is subjected to two equal and opposite tensile forces as shown. Consider a cross section BB as…
• A 5 kg rod of square cross section 5 cm on a side and 1 m long is pulled along a smooth horizontal surface by a force…
• A U-tube of uniform cross-section (see fig) is partially filled with a liquid I. Another liquid II which does not mix…
• Two metallic sphere S 1 and S 2 are made of the same material and have got identical surface finish. The mass of S 1 is…
• A body floats in a liquid contained in a beaker. The whole system as shown in figure falls freely under gravity. The…
• A bubble has surface tension S . The ideal gas inside the bubble has ratio of specific heats γ = 5/3. The bubble is…
• A metal ball immersed in alcohol weighs W 1 at 0°C and W 2 at 50°C. The co-efficient of cubical expansion of the metal…
• A solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k . The other…
• Water is filled in a container upto height 3 m. A small hole of area a is punched in the wall of the container at a…
• Two rods, one of aluminum and the other made of steel, having initial lengths l 1 and l 2 are connected together to…
• When at rest, a liquid stands at the same level in the tubes as shown in the figure. But as indicated, a height…
• An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides. K is the bulk…
• The length of an elastic string is a meter when the longitudinal tension is 4 N and b metre when the tension is 5 N…
• Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is…
• A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance l and h are shown here…
• A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R . The volume of the remaining…
• If a sample of metal weighs 210 g in air, 180 g in water and 120 g in a liquid: (i) RD of metal is 3 (ii) RD of metal…
• A small spherical monoatomic ideal gas bubble ( = 5 3 ) is trapped inside a liquid of density r l (see figure). Assume…
• An open-ended U-tube of uniform cross-sectional area contains water (density 10 3 kg m −3 ). Initially the water level…
• Tanks A and B open at the top contain two different liquids upto certain height in them. A hole is made to the wall of…
• Statement I : A block is immersed in a liquid inside a beaker, which is falling freely. Buoyant force acting on block…
• A wooden wheel of radius R is made of two semicircular parts (see figure). The two parts are held together by a ring…
• The spring balance A reads 2 kg with a block m suspended from it. A balance B reads 5 kg when a beaker with liquid is…
• If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquids gets changed. In…
• The velocity of the liquid coming out of a small hole of a vessel containing two different liquids of densities 2ρ and…
• A siphon tube is used to remove liquid from a container as shown in the figure. If the tube is initially filled with…
• 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 other is…
• Water from a tap emerges vertically downwards with an initial speed of 1.0 ms –1 . The cross-sectional area of the tap…
• Two rectangular blocks, having identical dimensions, can be arranged either in configuration I or in configuration II…
• In a cylindrical water tank there are two small holes Q and P on the wall at a depth of h 1 form upper level of water…
• The ends Q and R of two thin wires, PQ and RS , are soldered (joined) together. Initially each of the wires has a…
• A slightly conical wire of length L and end radii r 1 and r 2 is stretched by two forces F , F applied parallel to…
• A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of density ρ 1 = 900 kg m –3 and…
• A homogeneous solid cylinder of length L ( L < H /2), cross-sectional area A /5 is immersed such that it floats with…
• A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of density ρ 1 = 900 kg m –3 and…
• An ornament weighing 36 g in air weighs only 34 g in water. Assuming that some copper is mixed with gold to prepare the…
• A highly rigid cubical block A of small mass M and side L is fixed rigidly onto another cubical block B of the same…
• Two bodies with volumes V and 2V are equalized on a balance. The larger body is then immersed in oil of density d 1 =…
• A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K…
• Water stands at level A in the arrangement shown in figure. What will happen if a jet of air is gently blown into the…
• A rod of length 6 m has a mass 12 kg. It is hinged at one end A at a distance of 3 m below the water surface. The…
• Two capillary tubes A and B of radii r a and r b and lengths  a and  b respectively are held horizontally. The volume…
• Steam at 100°C is passed into 1.1 kg of water contained in a calorimeter of water equivalent 0.02 kg at 15°C till the…
• Assertion : Young’s modulus for a perfectly plastic body is zero. Reason : For a perfectly plastic body, restoring…
• A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T 1 and T 2 of different materials…
• If liquefied oxygen at 1 atmospheric pressure is heated from 50 K to 300 K by supplying heat at constant rate, the…
• A large block of ice 5m thick has a vertical hole drilled through it and is floating in the middle of a lake. The…
• Two wires A and B have the same cross-section and are made of the same material, but the length of wire A is twice that…
• If the velocity head of a stream of water is equal to 10 cm then its speed of flow is approximately
• A beaker containing water is placed on the platform of a spring balance. The balance reads 1.5 kg. A stone of mass 0.5…
• A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. The water rises to a…
• Statement I : To float, a body must displace liquid whose weight is greater than the actual weight of the body…
• In plotting stress versus strain curves for two materials P and Q , a student by mistake puts strain on the y -axis and…
• According to Hooke’s law, within the elastic limit stress/strain = constant. This constant depends on the type of…
• Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black…
• One end of a horizontal thick copper wire of length 2 L and radius 2 R is welded to an end of another horizontal thin…
• Three rods made of same material and having the same cross-section have been joined as shown in the figure. Each rod is…
• Assertion : The stress–strain graphs are shown in the figure for two materials A and B are shown in figure. Young’s…
• A composite rod consists of a steel rod of length 25 cm and area 2A and a copper rod of length 50 cm and area A. The…
• Two immiscible liquids P and Q of different densities are contained in a wide U-tube as shown in fig. The heights of…
• Figure shows two holes in a wide tank containing a liquid column. The water streams coming out of these holes strike…
• A block of ice at –10°C is slowly heated and converted to steam at 100°C. Which of the following curves represent the…
• A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is…
• Two spheres P and Q of equal radii have densities r 1 and r 2 , respectively. The spheres are connected by a massless…
• A cylindrical vessel is filled with a liquid up to a height H. A small hole is made in the vessel at a distance y…
• Water from a tap emerges vertically downwards with an initial speed of 1.0 m s – 1 . The cross-sectional area of the…
• The cylindrical tube of a spray pump has a radius R, one end of which has n fine holes, each of radius r. If the speed…
• A metal wire length L, cross section area A, and Young’s modulus Y is stretched by a variable force F. F is varying in…
• The adjacent graph shows the extension ( D l ) of a wire of length 1 m suspended from the top of a roof at one end and…
• A uniform rod of length L has a mass per unit length λ and area of cross section A. The elongation in the rod is  due…

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