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Properties of Matter

48 questions · Physics · JEE Advanced
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Properties of Matter

48 questions · Physics · JEE Advanced

  1. Two large, identical water tanks, 1 and 2 , kept on the top of a building of height H, are filled with water up to height h in each tank. Both the tanks contain an identical hole of small radius on their sides, close to their bottom. A…2024 · Shift 1 · Q46 · Numerical
  2. 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 swimming pool to a depth of d=0.7 m below the water surface and then released…2024 · Shift 2 · Q40 · Multiple correct
  3. An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius 0.1 mm is dipped vertically into the liquid through the airtight piston hole, as shown in the figure. The… Includes diagram2023 · Shift 2 · Q45 · Numerical
  4. An ideal gas of density ρ=0.2 kg m−3 enters a chimney of height h at the rate of α=0.8 kg s−1 from its lower end, and escapes through the upper end as shown in the figure. The… Includes diagram2022 · Shift 1 · Q47 · Multiple correct
  5. A bubble has surface tension S. The ideal gas inside the bubble has ratio of specific heats γ=35​. The bubble is exposed to the atmosphere and it always retains its spherical shape. When the atmospheric pressure is Pa1​…2022 · Shift 2 · Q47 · Multiple correct
  6. A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant acceleration a along a fixed inclined plane with angle θ = 45 ∘. P1 and P2 are pressures at points 1 and 2,… Includes diagram2021 · Shift 1 · Q54 · Multiple correct
  7. As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δ n = (n1 − n2)… Includes diagram2020 · Shift 1 · Q41 · Multiple correct
  8. When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to the surface tension of water. To calculate h just before water starts flowing, model the shape of the water above the rim as a disc… Includes diagram2020 · Shift 1 · Q42 · Numerical
  9. An open-ended U-tube of uniform cross-sectional area contains water (density 103 kg m−3 ). Initially the water level stands at 0.29 m from the bottom in each arm. Kerosene oil (a water-immiscible liquid) of density 800 kg m−3 is added to… Includes diagram2020 · Shift 1 · Q50 · MCQ
  10. A train with cross-sectional area St is moving with speed vt inside a long tunnel of cross-sectional area S0 (S0 = 4St). Assume that almost all the air (density ρ) in front of the train flows back between its sides and the walls of…2020 · Shift 2 · Q37 · Numerical
  11. A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is 480 kg. Its effective volume giving the balloon its buoyancy is V. The balloon is floating at an equilibrium height of 100 m.…2020 · Shift 2 · Q40 · Numerical
  12. A cubical solid aluminium (bulk modulus = −VdVdP​=70GPa) block has an edge length of 1 m on the surface of the earth. It is kept on the floor of a 5 km deep ocean. Taking the average density of water and the acceleration…2020 · Shift 2 · Q52 · Numerical
  13. A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as T(t)=T0​(1+βt41​)…2019 · Shift 1 · Q38 · MCQ
  14. A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T1 and T2 of different materials having water contact angles of 0 ∘ and 60 ∘, respectively. The capillary tube is dipped vertically in water in… Includes diagram2019 · Shift 1 · Q41 · Multiple correct
  15. A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 cm2 and length 3​ m and 1 m, respectively. Their other ends are fixed on a ceiling as shown in figure. The angles subtended by copper… Includes diagram2019 · Shift 1 · Q51 · Numerical
  16. A liquid at 30 ∘ C is poured very slowly into a Calorimeter that is at temperature of 110 ∘ C. The boiling temperature of the liquid is 80 ∘ C. It is found that the first 5 gm of the liquid completely evaporates. After…2019 · Shift 1 · Q52 · Numerical
  17. A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. The water rises to a height h in the capillary tube above the water surface in the beaker. The surface tension of water is σ. The…2018 · Shift 1 · Q39 · Multiple correct
  18. Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T1​=300K and T2​=100K, as shown in the figure. The radius of the bigger cylinder is twice that… Includes diagram2018 · Shift 1 · Q48 · Numerical
  19. Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating place is pulled horizontally with a constant velocity μ0.​…2018 · Shift 2 · Q38 · Multiple correct
  20. A human body has a surface area of approximately 1m2. The normal body temperature is 10K above the surrounding room temperature T0​. Take the room temperature to be T0​=300K. For T0​=300K, the value of σT04​=460Wm−2…2017 · Shift 1 · Q40 · Multiple correct
  21. A drop of liquid of radius R=10−2m having surface tension S=4π0.1​Nm−1 divides itself into K identical drops. In this process the total change in the surface energy ΔU=10−3J. If K=10α…2017 · Shift 1 · Q45 · Numerical
  22. Consider two solid spheres P and Q each of density 8 gm cm–3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm cm–3 and viscosity η= 3 poiseulles. Sphere Q is dropped into a liquid of…2016 · Shift 1 · Q39 · Numerical
  23. A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P(r) is the pressure at r (r < R), then the correct option(s) is(are)2015 · Shift 2 · Q42 · Multiple correct
  24. In plotting stress versus strain curves for two materials P and Q, a student by mistake puts strain on the y-axis and stress on the x-axis as shown in the figure. Then, the correct statements is/are Includes diagram2015 · Shift 2 · Q52 · Multiple correct
  25. Two spheres P and Q for equal radii have densities ρ 1 and ρ 2, respectively. The spheres are connected by a massless string and placed in liquids L1 and L2 of densities σ 1 and σ 2 and viscosities η1​ and η2​… Includes diagram2015 · Shift 2 · Q56 · Multiple correct
  26. Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5 kg water by 40 K. This heater is replaced by a new heater having two wires of the same material, each of length L…2014 · Shift 1 · Q52 · Multiple correct
  27. A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is at rest, the water jet coming out of the hole hits the floor of the lift at a distance d of 1.2 m from the person. In the… Includes table2014 · Shift 2 · Q43 · MCQ
  28. A glass capillary tube is of the shape of truncated cone with an apex angle α so that its two ends have cross sections of different radii. When dipped in water vertically, water rises in it to a height h, where the radius of its… Includes diagram2014 · Shift 2 · Q50 · MCQ
  29. A spray gun is shown in the below figure where a piston pushes air out of a nozzle. A thin tube of uniform cross-section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through… Includes diagram2014 · Shift 2 · Q56 · MCQ
  30. A spray gun is shown in the below figure where a piston pushes air out of a nozzle. A thin tube of uniform cross-section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through… Includes diagram2014 · Shift 2 · Q57 · MCQ
  31. One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the…2013 · Shift 1 · Q47 · MCQ
  32. 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 end of the spring is connected to another solid sphere of radius R and density 3 ρ. The complete arrangement is…2013 · Shift 1 · Q48 · Multiple correct
  33. A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other end of the pipe,2012 · Shift 1 · Q53 · Multiple correct
  34. A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ρc​ is the relative density of the material of the shell with respect to water,…2012 · Shift 2 · Q46 · MCQ
  35. A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of length, L) as shown in the figure. All slabs are of same width. Heat Q flows only from… Includes diagram2011 · Shift 1 · Q61 · Multiple correct
  36. Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are fully immersed in a fluid of density dF. They get arranged into an equilibrium state as shown in the figure with a tension… Includes diagram2011 · Shift 2 · Q52 · Multiple correct
  37. 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 top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.…2010 · Shift 2 · Q40 · MCQ
  38. 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 top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.…2010 · Shift 2 · Q41 · MCQ
  39. 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 top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.…2010 · Shift 2 · Q42 · MCQ
  40. Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m 2. The radii of bubbles A and B are 2 cm and 4 cm, respectively. Surface tension of the soap-water used to make bubbles is 0.04 N/m.…2009 · Shift 2 · Q51 · Numerical
  41. A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened.…2009 · Shift 2 · Q53 · Numerical
  42. STATEMENT - 1 : The stream of water flowing at high speed from a garden hose pipe tends to spread line a fountain when held vertically up, but tends to narrow down when held vertically down. and STATEMENT - 2 : In any steady flow of an…2008 · Shift 1 · Q60 · MCQ
  43. A small spherical monoatomic ideal gas bubble (γ=35​) is trapped inside a liquid of density ρ1​ (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n… Includes diagram2008 · Shift 1 · Q61 · MCQ
  44. A small spherical monoatomic ideal gas bubble (γ=35​) is trapped inside a liquid of density ρ1​ (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n… Includes diagram2008 · Shift 1 · Q62 · MCQ
  45. A small spherical monoatomic ideal gas bubble (γ=35​) is trapped inside a liquid of density ρ1​ (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n… Includes diagram2008 · Shift 1 · Q63 · MCQ
  46. A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub-hemispherical soap bubble as… Includes diagram2008 · Shift 2 · Q51 · MCQ
  47. Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is ρ, the surface tension of water is T and the atmospheric pressure is P. Consider a vertical section ABCD of the water… Includes diagram2007 · Shift 2 · Q13 · MCQ
  48. Column I gives some devices and Column II gives some process on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate bubbles in the 4×4… Includes table2007 · Shift 2 · Q30 · MCQ