Properties of Solids and Liquids — practice questions

142 curated practice questions from Properties of Solids and Liquids (Physics JEE Main, NTA Exams) — 126 easy, 10 hard, 6 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.

• A sphere of solid material of specific gravity 8 has a concentric spherical cavity and just sinks in water. Then, the…
• A container containing water has a constant acceleration ‘a’ in the horizontal drection. Free surface of water gets…
• A jar is filled with two non-mixing liquids 1 and 2 having densities ρ 1 and ρ 2 respectively. A solid ball, made of a…
• A wooden piece floats half submerged in a tub of water. If the system is transferred to a lift ascending with…
• Two soap bubbles of radii r 1 and r 2 equal to 4cm and 5cm are touching each other over a common surface S 1 S 2 (shown…
• A tank 5 m high is half filled with water and then is filled to the top with oil of denisty 0.85 g/cm 3 . The pressure…
• The figure shows the stress-strain graph of a certain substance. Over which region of the graph is Hooke’s law obeyed
• The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the…
• A vessel with water is placed on a weighing pan and reads 600 g. Now a ball of 40 g and density 0.80 g/cc is sunk into…
• The length of a wire is increased by 1 mm on the application of a given load. In a wire of the same material, but of…
• A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The…
• Two water droplets coalesce to form a large drop. In this process,
• Young’s modulus of brass and steel are 10 × 10 10 N/m 2 and 2 × 10 11 N/m 2 , respectively. A brass wire and a steel…
• If the surface tension of soap solution is σ, what is the work done in blowing soap bubble of radius r ?
• Water is flowing through two horizontal pipes of different diameters whcih are connected together. The diameter of the…
• Two pieces of metal when immersed in a liquid have equal upthrust on them; then:
• Figure shown water filled in a symmetrical container. Four pistons of equal area A are used at the four openings to…
• A hole is made at the bottom of the tank filled with water (density = 1000 kg/m 3 ). If the total pressure at the…
• The face EFGH of the cube shown in the figure is displaced 2 mm parallel to itself when forces of 5 × 10 5 N each are…
• Tiny insects can float and walk on the surface of water due to
• Which one of the following is the Young’s modulus (in N/m 2 ) for the wire having the stress-strain curve shown in the…
• One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin…
• A cylindrical tree has a breaking stress of 10 6 N/m 2 . The maximum possible height of the tree is 5 m. the density of…
• If equal and opposite forces applied to a body tend to elongate it, the stress so produced is called
• One end of a uniform rod of mass m 1 and cross-sectional area A is hung from a ceiling. The other end of the bar is…
• A wire suspended vertically from one of its ends. It is stretched by attaching a weight of 200 N to the lower end. The…
• A metallic sphere floats in an immiscible mixture of water (ρ w = 10 3 kg/m 3 ) and a liquid (ρ l = 13.5 × 10 3 kg/m 3…
• A water droplet starts falling from rest, from a height h and acquires the terminal speed just before reaching the…
• Equal volumes of three liquids are kept in three cylindrical vessels having radii R L , R M and R N . The densities of…
• The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If Y A and Y B are the…
• A glass bottle completely filled with water is kept in freezer. After few days it was observed that the bottle was…
• What amount of work is done in increasing the length of a wire through unity?
• A liquid wets a solid completely. The meniscus of the liquid in a sufficiently long tube is
• Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at…
• Two vessels A and B of different shapes have the same base area and are filled with water upto the same height h (see…
• The compressibility of water is 4 × 10 –5 per unit atmospheric pressure. The decrease in volume of 100 cubic centimetre…
• A wire of length 1 m and area of cross section 2 x 10 -6 m 2 is suspended from the top of a roof at one end and a load…
• Two small drops of mercury each of radius r form a single large drop. The ratio of surface energy before and after this…
• When a body is weighed in a liquid, the loss in its weight depends upon:
• When a body is wholly or partially immersed in a liquid it appears to lose weight. This loss of weight is equal to the…
• The strain stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic…
• The stress-strain curves for brass, steel and rubber are shown in the figure. The lines A, B and C are for
• Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)…
• A steel ring of radius r and cross-sectional area A is fitted into a wooden disc of radius R (R > r). If the Young's…
• A wooden block, with a coin placed on its top, floats in water as shown in the figure. The distance h and l are shown…
• A sealed tank containing a liquid of density ρ moves with horizontal acceleration a as shown in the figure. The…
• A man is sitting in a boat which is floating in a pond. If the man drinks some water from the pond, the level of water…
• A tank is filled with water up to height H. When a hole is made at a distance h below the level of water. What will be…
• A cubical block of side 10 cm floats at the interface of an oil and water. The pressure above that of atmosphere at the…
• A vessel contains an immiscible mixture of water and a liquid of density 0.8 gm/cc. A cube of side 10 cm is placed in…
• A mercury drop of radius 1.0 cm is sprayed into 10 6 droplets of equal sizes. The energy expended in this process is…
• The longitudinal extension of any elastic material is very small. In order to have an appreciable change, the material…
• If work W is done in blowing a bubble of radius R from soap solution, then the work done in blowing a bubble of radius…
• A body floats with (1/3) of its volume outside water and (3/4) of its volume outside another liquid. The density of the…
• The pressure of water in a pipe when tap is closed is 5.5 × 10 5 N/m 2 . When tap gets open, pressure reduces to 5 × 10…
• Small droplets of liquid are usually more spherical in shape than larger drops of the same liquid because
• A material breaks up under a stress of 2 x 10 5 N/m 2 . If the density of the material is 2.5 x 10 3 kg/m 3 , the…
• In a capillary tube experiment, a vertical, 30 cm long capillary tube is dipped in water. The water rises up to a…
• When the load on a wire is slowly increased from 3 to 5 kg wt, the elongation increases from 0.61 to 1.02 mm. The work…
• If S is stress and Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is
• A metal ball of density 7800 kg/m 3 is suspected to have a large number of inner cavities. It weighs 9.8 kg when…
• If two soap bubbles of different radii are connected by a tube
• A U-tube contains water and oil separated by mercury. The mercury columns in the two arms are at the same level with 10…
• Four identical cylindrical columns of steel support a big structure of mass 50,000 kg. The inner and outer radii of…
• The minimum horizontal acceleration of the container so that the pressure at the point A of the container becomes…
• A hydraulic lift is used to lift a car of mass 3000 kg. The cross-sectional area of the lift on which the car is…
• A small hole is made at a height of h^ =(1 / 2 ) m from the bottom of a cylindrical water tank and at a depth of h = 2…
• A body weighs 40 g in air. If its volume is 10 cc, in water it will weigh:
• Two solids A and B float in a liquid. It is observed that A floats with half its volume immersed and B floats with…
• An ice cube floats on water in a beaker with 9 0 ^ h of its volume submerged under water. What fraction of its volume…
• A given shaped glass tube having uniform cross-section is filled with water and is mounted on a rotatable shaft as…
• A mercury drop of radius 1 cm is sprayed into 10 6 drops of equal size. The energy expended in joule is (surface…
• An iron ball is weighed in air and then in water by a spring balance:
• The reading of a spring balance when a block is suspended from it in air is 60 N. This reading is changed to 40 N when…
• A boat carrying a number of large stones is floating in a water tank. What will happen to the water level if the stones…
• Two equal drops of water are falling through air with a steady velocity v. If the drops coalesce, then new velocity…
• Spherical balls of radius R are falling in a viscous fluid of viscosity η with a velocity ν. The retarding viscous…
• Water is flowing at a speed of 1.5 ms –1 through a horizontal tube of cross-sectional area 10 –2 m 2 and you are trying…
• A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then, the…
• The ratio of the terminal velocities of two drops of radii R and R/2 is
• A glass plate is partly dipped vertically in the mercury and angle of contact is measured. If the plate is inclined…
• When two capillary tubes of different diameters are dipped vertically, then rise of the liquid is:
• The excess pressure due to surface tension in a spherical liquid drop of radius r is directly proportional to
• Two rods of different materials, having the same length and the same cross-sectional area, coefficient of linear…
• Hair of shaving brush cling together when it is removed from water due to
• A cylindrical jar of cross-sectional area 0.01 m 2 is filled with water to a height of 50 cm. It carries a…
• A piece of ice floats in a vessel with water above which a layer of lighter oil is poured. When the whole of ice melts…
• A dam for water reservoir is built thicker at the bottom than at the top because:
• Which one of the following is not a unit of Young's modulus?
• A beaker containing water weighs 100 g. It is placed on the pan of a balance and a piece of metal weighing 70 g and…
• A U-tube of base length ‘ l ’ filled with same volume of two liquids of densities ρ and 2ρ is moving with an…
• If a capillary tube is dippped into liquid and the levels of the liquid inside and outside are same, then the angle of…
• A hydrogen-filled balloon stops rising after it has attained a certain height in the sky. This happens because
• A block of metal (density 7 g/cc) of size 5 cm × 5 cm × 5 cm is weighed completely submerged in water. What will be its…
• Two stretched membranes of area 2 cm 2 and 3 cm 2 are placed in a liquid at the same depth. The ratio of the pressure…
• A body is just floating on the surface of a liquid. The density of the body is same as that of the liquid. The body is…
• Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of 6 cm s –1 . If they…
• A viscous fluid is flowing through a cylindrical tube. The velocity distribution of the fluid is best represented by…
• A raft of wood (density 600 g/m 3 ) of mass 120 kg floats in water. How much weight can be put on the raft to make it…
• If the terminal speed of a sphere of gold (density = 19.5 kg/m 3 ) is 0.2 m/sec in a viscous liquid (density 1.5 kg/m 3…
• If the angle of contact is less than 90°, then pressure just inside the surface of a meniscus
• A piston of cross-sectional area 100 cm 2 is used in a hydraulic press to exert a force of 10 7 dyne on the water. The…
• A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a…
• You are given three wires A, B and C of the same length and cross section. They are each stretched by applying the same…
• Two capillary tubes of the same length but different radii r 1 and r 2 are fitted in parallel to the bottom of a…
• A body weights W in air and it loses its weight by 25% in water. The relative density of the body is
• The average mass of rain drops is 3.0×10 –5 kg and their average terminal velocity is 9 m/s. Calculate the energy…
• Two wires of same diameter of the same material having the length  and 2  . If the force F is applied on each wire is…
• A wire fixed at the upper end stretches by length by applying a force F. The work done in stretching is :
• If the terminal speed of a sphere of gold (density = 19.5 kgm –3 ) is 0.2 ms –1 in a viscous liquid (density = 1.5 kgm…
• A rod is stretched by a weight attached to it. The stress is
• A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms –1 ) through a small…
• A block of wood is floating in a lake. The apparent weight of the floating block is
• The velocity of efflux of a liquid through an orifice in the bottom of a tank does not depend upon
• Surface energy of a soap bubble of volume V is W 0 . Change in surface energy in increasing the volume of soap bubble…
• There are two spheres of the same radius and are made up of the same material at the same temperature, but one is solid…
• The rate of flow of liquid in a tube of radius r, length l , whose ends are maintained at a pressure difference p is V…
• Two wires of the same material and length but diameters in the ratio 1 : 2 are stretched by the same force. The…
• The excess pressure across a soap bubble of radius r is p = 4σ/r, where σ is the surface tension of soap solution. What…
• The work done to break up a drop of a liquid of radius R and surface tension σ into eight drops, all of the same size…
• An iceberg is floating partially immersed in sea water. If the density of sea water is 1.03 g/cc and that of ice is…
• A uniformly tapering vessel is filled with a liquid of density 900 kg/m 3 . The force that acts on the base of the…
• The terminal velocity v of a small steel ball of radius r falling under gravity through a column of viscous liquid of…
• A rubber ball is taken to a depth of 200 m in a pool. Its volume decreases by 0.1%. If the density of the water is 1 ×…
• A rain drop of radius r falls in air with a terminal speed v t . What is the terminal speed of a rain drop of radius 2r…
• A water tank standing on the floor has two small holes punched in the vertical wall one above the other. The holes are…
• A boat 3m long and 2 m wide is floating in a lake. When a man climbs over it, it sinks 1 cm further into water. The…
• In the given figure shown.
• If two soaps bubbles of equal radii r coalesce, then the radius of curvature of interface between two bubble will be:
• A liquid drop at temperature t, isolated from its surroundings, breaks into a large number of the droplets. The…
• If a million tiny drops of water of same radius combine to form one large drop. The ratio of the surface energy of…
• The level of water in a tank is 5 m high. A hole of area 1 cm 2 is made at the bottom of the tank. The rate of leakage…
• The ratio of radii of two wires of same material is 2 : 1. Stretched by same force, then the ratio of stress is
• A boy carries a fish in one hand and a bucket of water in the other hand; if he places the fish in the bucket, the…
• Water rises to a height h in a capillary tube held vertically in a beaker containing water. If the capillary tube is…
• A soap bubble in air (two surfaces) has surface tension 0.03 Nm -1 . Find the gauge pressure inside a bubble of…
• A tube 1 cm 2 in cross section is attached to the top of a vessel 1 cm high and of cross section 100 cm 2 . Water is…
• A wire elongates by l mm when a load w is hung from it. If the wire goes over a pulley and two weights w each are hung…
• A wire of cross section A is stretched horizontally between two clamps located 2 metres apart. A weight W kg is…
• 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…
• In the given figure, the velocity v 3 will be
• The spiders and insects move and run on the surface of water without sinking, because

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