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Heat and Thermodynamics

406 questions · Physics · JEE Main
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Heat and Thermodynamics

406 questions · Physics · JEE Main

  1. In an adiabatic process, which of the following statements is true?2025 · 2 Apr · Shift 1 · Q64 · MCQ
  2. The equation for real gas is given by (P+V2a​)(V−b)=RT, where P,V,T and R are the pressure, volume, temperature and gas constant,…2025 · 2 Apr · Shift 1 · Q65 · MCQ
  3. γA​ is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. γB​ is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of freedom and 1…2025 · 2 Apr · Shift 1 · Q72 · Numerical
  4.  Match List - I with List - II.    (A)  (B)  (C)  (D) ​ List - I  Heat capacity of body  Specific heat capacity of body  Latent heat  Thermal conductivity ​List−II (I) J kg−1 (II) J K−1 (III) J kg−1 K−1 (IV) J m−1 K−1 s−1​ Choose the correct answer from the options given below : …2025 · 2 Apr · Shift 2 · Q65 · MCQ
  5. Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to the change in internal energy. (C) The product of temperature and volume is a constant. (D)…2025 · 2 Apr · Shift 2 · Q68 · MCQ
  6. The internal energy of air in 4 m×4 m×3 m sized room at 1 atmospheric pressure will be ​×106 J (Consider air as diatomic molecule)2025 · 2 Apr · Shift 2 · Q74 · Numerical
  7. A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 800 cm3 and temperature 27∘C. The change in temperature when the gas is adiabatically…2025 · 3 Apr · Shift 1 · Q51 · MCQ
  8. During the melting of a slab of ice at 273 K at atmospheric pressure :2025 · 3 Apr · Shift 1 · Q60 · MCQ
  9. A piston of mass M is hung from a massless spring whose restoring force law goes as F=−kx3, where k is the spring constant of appropriate dimension. The piston separates the vertical chamber into two parts, where the bottom part is… Includes diagram2025 · 3 Apr · Shift 1 · Q62 · MCQ
  10. An ideal gas exists in a state with pressure P0​, volume V0​. It is isothermally expanded to 4 times of its initial volume (V0​), then isobarically compressed to its original volume. Finally the system is heated…2025 · 3 Apr · Shift 2 · Q56 · MCQ
  11. Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4% when heated by 1∘C. Its initial temperature must be:2025 · 3 Apr · Shift 2 · Q65 · MCQ
  12. Consider the sound wave travelling in ideal gases of He,CH4​, and CO2​. All the gases have the same ratio ρP​, where P is the pressure and ρ is the density. The ratio of the speed of…2025 · 4 Apr · Shift 1 · Q51 · MCQ
  13. The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are 3×10−7 m and 600 m/s, respectively. Find the frequency of its collisions.2025 · 4 Apr · Shift 1 · Q67 · MCQ
  14. Consider a rectangular sheet of solid material of length l=9 cm and width d=4 cm. The coefficient of linear expansion is α=3.1×10−5 K−1 at room temperature and one atmospheric…2025 · 4 Apr · Shift 2 · Q58 · MCQ
  15. There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K . If the vessels are…2025 · 4 Apr · Shift 2 · Q64 · MCQ
  16. Match List - I with List - II. ΔQ= Heat supplied ΔW= Work done by the system ΔU= Change in internal energy P= Pressure of the system ΔV= Change in volume of the system Choose the… Includes table2025 · 4 Apr · Shift 2 · Q66 · MCQ
  17. Match the List I with List II Choose the correct answer from the options given below: Includes table2025 · 7 Apr · Shift 1 · Q70 · MCQ
  18. A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is 1727∘C and power radiated by the wire is 94.2 W . Its emissivity is 8x​ where x=​. (Given σ=6.0×10−8 W m−2 K−4,π=3.14…2025 · 7 Apr · Shift 1 · Q71 · Numerical
  19. An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is ​×10−1 J. (Take π=3.14 ) Includes diagram2025 · 7 Apr · Shift 1 · Q75 · Numerical
  20. The helium and argon are put in the flask at the same room temperature (300 K). The ratio of average kinetic energies (per molecule) of helium and argon is: (Give: Molar mass of helium = 4 g/mol, Molar mass of argon = 40 g/mol)2025 · 7 Apr · Shift 2 · Q57 · MCQ
  21. Match List - I with List - II. Choose the correct answer from the options given below : Includes table2025 · 7 Apr · Shift 2 · Q69 · MCQ
  22. Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratios of lengths, radii and thermal conductivites of these rods are: LB​LA​​=21​,rB​rA​​=2…2025 · 7 Apr · Shift 2 · Q71 · Numerical
  23. A monoatomic gas having γ=35​ is stored in a thermally insulated container and the gas is suddenly compressed to (81​)th of its initial volume. The ratio of final pressure and initial…2025 · 8 Apr · Shift 2 · Q51 · MCQ
  24. Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the pool. (Take g = 10 m/s2, specific heat of water = 4200 J/(kg K))2025 · 8 Apr · Shift 2 · Q60 · MCQ
  25. Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of the bigger body is 400 K . If the energy radiated from the smaller body is…2025 · 22 Jan · Shift 1 · Q53 · MCQ
  26. An amount of ice of mass 10−3 kg and temperature −10∘C is transformed to vapour of temperature 110∘C by applying heat. The total amount of work required for this conversion is, (Take,…2025 · 22 Jan · Shift 1 · Q58 · MCQ
  27. Three conductors of same length having thermal conductivity k1​,k2​ and k3​ are connected as shown in figure. Area of cross sections of 1st  and 2nd  conductor are same and for 3rd  conductor it… Includes diagram2025 · 22 Jan · Shift 1 · Q72 · Numerical
  28. Given are statements for certain thermodynamic variables, (A) Internal energy, volume (V) and mass (M) are extensive variables. (B) Pressure (P), temperature ( T ) and density (ρ) are intensive variables. (C)…2025 · 22 Jan · Shift 2 · Q52 · MCQ
  29. For a diatomic gas, if γ1​=(CvCp​) for rigid molecules and γ2​=(CvCp​) for another diatomic molecules, but also having vibrational modes. Then, which one of the following options is…2025 · 22 Jan · Shift 2 · Q66 · MCQ
  30. Match the List - I with List - II Choose the correct answer from the options given below: Includes table2025 · 23 Jan · Shift 1 · Q56 · MCQ
  31. A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down. If the total heat required for the process is 625 J , then the mass of the bullet…2025 · 23 Jan · Shift 1 · Q57 · MCQ
  32. An ideal gas initially at 0∘C temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/2, the change in temperature due to…2025 · 23 Jan · Shift 1 · Q75 · Numerical
  33. Water of mass m gram is slowly heated to increase the temperature from T1​ to Tγ​. The change in entropy of the water, given specific heat of water is 1Jkg−1 K−1, is :2025 · 23 Jan · Shift 2 · Q55 · MCQ
  34. Using the given P−V diagram, the work done by an ideal gas along the path ABCD is : Includes diagram2025 · 23 Jan · Shift 2 · Q68 · MCQ
  35. An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly with temperature. A. The work done by gas during the process is zero. B. The heat added to gas is different from change in…2025 · 24 Jan · Shift 1 · Q59 · MCQ
  36. The temperature of 1 mole of an ideal monoatomic gas is increased by 50∘C at constant pressure. The total heat added and change in internal energy are E1​ and E2​, respectively. If E2​E1​​=9x​ then…2025 · 24 Jan · Shift 1 · Q74 · Numerical
  37. The temperature of a body in air falls from 40∘C to 24∘C in 4 minutes. The temperature of the air is 16∘C. The temperature of the body in the next 4 minutes will be :2025 · 24 Jan · Shift 2 · Q54 · MCQ
  38. The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in SI unit) : Includes diagram2025 · 24 Jan · Shift 2 · Q56 · MCQ
  39. Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In an insulated container, a gas is adiabatically shrunk to half of its initial volume. The temperature of the gas…2025 · 24 Jan · Shift 2 · Q61 · MCQ
  40. Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?2025 · 24 Jan · Shift 2 · Q63 · MCQ
  41. For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?2025 · 28 Jan · Shift 1 · Q63 · MCQ
  42. A Carnot engine (E) is working between two temperatures 473 K and 273 K . In a new system two engines - engine E1​ works between 473 K to 373 K and engine E2​ works between 373 K to 273 K . If η12​,η1​ and…2025 · 28 Jan · Shift 1 · Q70 · MCQ
  43. The ratio of vapour densities of two gases at the same temperature is 254​, then the ratio of r.m.s. velocities will be :2025 · 28 Jan · Shift 2 · Q58 · MCQ
  44. The kinetic energy of translation of the molecules in 50 g of CO2​ gas at 17°C is :2025 · 28 Jan · Shift 2 · Q67 · MCQ
  45. The work done in an adiabatic change in an ideal gas depends upon only :2025 · 29 Jan · Shift 1 · Q64 · MCQ
  46. A container of fixed volume contains a gas at 27°C. To double the pressure of the gas, the temperature of gas should be raised to ​ °C.2025 · 29 Jan · Shift 1 · Q67 · Numerical
  47. The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have2025 · 29 Jan · Shift 2 · Q54 · MCQ
  48. Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : With the increase in the pressure of an ideal gas, the volume falls off more rapidly in an isothermal process in…2025 · 29 Jan · Shift 2 · Q55 · MCQ
  49. A cup of coffee cools from 90°C to 80°C in t minutes when the room temperature is 20°C. The time taken by the similar cup of coffee to cool from 80°C to 60°C at the same room temperature is:2025 · 29 Jan · Shift 2 · Q58 · MCQ
  50. A poly-atomic molecule (CV​=3R,CP​=4R, where R is gas constant) goes from phase space point A(PA​=105 Pa, VA​=4×10−6 m3) to… Includes diagram2025 · 29 Jan · Shift 2 · Q65 · MCQ
  51. Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is :2024 · 1 Feb · Shift 1 · Q64 · MCQ
  52. The pressure and volume of an ideal gas are related as PV23​=K(Constant). The work done when the gas is taken from state A(P1​,V1​,T1​) to state B(P2​,V2​,T2​) is :2024 · 1 Feb · Shift 1 · Q76 · MCQ
  53. A diatomic gas (γ=1.4) does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is :2024 · 1 Feb · Shift 2 · Q70 · MCQ
  54. If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root mean square velocity of oxygen at the same condition in km/s is :2024 · 1 Feb · Shift 2 · Q74 · MCQ
  55. P-T diagram of an ideal gas having three different densities ρ1​,ρ2​,ρ3​ (in three different cases) is shown in the figure. Which of the following is correct : Includes diagram2024 · 4 Apr · Shift 1 · Q74 · MCQ
  56. The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8Ω and 10Ω respectively. After inserting in a hot bath of temperature 400∘C, the resistance…2024 · 4 Apr · Shift 1 · Q76 · MCQ
  57. On celcius scale the temperature of body increases by 40∘C. The increase in temperature on Fahrenheit scale is :2024 · 4 Apr · Shift 1 · Q80 · MCQ
  58. A sample of gas at temperature T is adiabatically expanded to double its volume. Adiabatic constant for the gas is γ=3/2. The work done by the gas in the process is: (μ=1 mole )2024 · 4 Apr · Shift 2 · Q65 · MCQ
  59. The translational degrees of freedom (ft​) and rotational degrees of freedom (fr​) of CH4​ molecule are:2024 · 4 Apr · Shift 2 · Q74 · MCQ
  60. The heat absorbed by a system in going through the given cyclic process is : Includes diagram2024 · 5 Apr · Shift 1 · Q68 · MCQ
  61. If the collision frequency of hydrogen molecules in a closed chamber at 27∘C is Z, then the collision frequency of the same system at 127∘C is :2024 · 5 Apr · Shift 1 · Q71 · MCQ
  62. During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of CV​CP​​ for the gas is :2024 · 5 Apr · Shift 2 · Q65 · MCQ
  63. If n is the number density and d is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by :2024 · 5 Apr · Shift 2 · Q80 · MCQ
  64. The specific heat at constant pressure of a real gas obeying PV2=RT equation is:2024 · 6 Apr · Shift 1 · Q62 · MCQ
  65. A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample, is :2024 · 6 Apr · Shift 1 · Q79 · MCQ
  66. Given below are two statements: Statement (I) : Dimensions of specific heat is [L2 T−2 K−1]. Statement (II) : Dimensions of gas constant is [ML2 T−1 K−1]…2024 · 6 Apr · Shift 2 · Q62 · MCQ
  67. Energy of 10 non rigid diatomic molecules at temperature T is :2024 · 6 Apr · Shift 2 · Q68 · MCQ
  68. A total of 48 J heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by 2∘C. The work done by the gas is: Given, R=8.3 J K−1 mol−1…2024 · 6 Apr · Shift 2 · Q74 · MCQ
  69. A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27∘C). The ratio of specific heat of gases at constant volume respectively is:2024 · 8 Apr · Shift 1 · Q72 · MCQ
  70. Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio Vd​Va​​ and the ratio Vc​Vb​​ is: Includes diagram2024 · 8 Apr · Shift 1 · Q80 · MCQ
  71. A diatomic gas (γ=1.4) does 100 J of work in an isobaric expansion. The heat given to the gas is :2024 · 8 Apr · Shift 2 · Q67 · MCQ
  72. Given below are two statements : Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter. Statement (II) : Average kinetic energy of gas molecules is directly proportional to absolute…2024 · 8 Apr · Shift 2 · Q74 · MCQ
  73. The volume of an ideal gas (γ=1.5) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is :2024 · 9 Apr · Shift 1 · Q65 · MCQ
  74. A sample of 1 mole gas at temperature T is adiabatically expanded to double its volume. If adiab constant for the gas is γ=23​, then the work done by the gas in the process is :2024 · 9 Apr · Shift 1 · Q71 · MCQ
  75. A real gas within a closed chamber at 27∘C undergoes the cyclic process as shown in figure. The gas obeys PV3=RT equation for the path A to B. The net work done in the complete cycle is (assuming R=8 J/molK… Includes diagram2024 · 9 Apr · Shift 2 · Q67 · MCQ
  76. The temperature of a gas is −78∘C and the average translational kinetic energy of its molecules is K. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes 2 K…2024 · 9 Apr · Shift 2 · Q74 · MCQ
  77. 0.08 kg air is heated at constant volume through 5∘C. The specific heat of air at constant volume is 0.17 kcal/kg∘C and J=4.18 joule/ cal. The…2024 · 27 Jan · Shift 1 · Q70 · MCQ
  78. The average kinetic energy of a monatomic molecule is 0.414 eV at temperature : (Use KB​=1.38×10−23 J/mol−K)2024 · 27 Jan · Shift 1 · Q80 · MCQ
  79. During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of CvCp​ for the gas is :2024 · 27 Jan · Shift 2 · Q70 · MCQ
  80. The equation of state of a real gas is given by (P+V2a​)(V−b)=RT, where P,V and T are pressure, volume and temperature…2024 · 27 Jan · Shift 2 · Q73 · MCQ
  81. The total kinetic energy of 1 mole of oxygen at 27∘C is : [Use universal gas constant (R)=8.31 J/ mole K]2024 · 27 Jan · Shift 2 · Q77 · MCQ
  82. A thermodynamic system is taken from an original state A to an intermediate state B by a linear process as shown in the figure. It's volume is then reduced to the original value from B to C by an isobaric… Includes diagram2024 · 29 Jan · Shift 1 · Q68 · MCQ
  83. Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. PA​ and PB​ are the pressures of the…2024 · 29 Jan · Shift 1 · Q75 · MCQ
  84. The temperature of a gas having 2.0×1025 molecules per cubic meter at 1.38 atm(Given, k=1.38×10−23JK−1) is :2024 · 29 Jan · Shift 2 · Q70 · MCQ
  85. N moles of a polyatomic gas (f=6) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of N is :2024 · 29 Jan · Shift 2 · Q76 · MCQ
  86. Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are CA​ and CB​. The molar heat capacity at constant pressure and constant volume are… Includes diagram2024 · 30 Jan · Shift 1 · Q69 · MCQ
  87. At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at 47∘C ?2024 · 30 Jan · Shift 1 · Q71 · MCQ
  88. Choose the correct statement for processes A & B shown in figure. Includes diagram2024 · 30 Jan · Shift 2 · Q65 · Multiple correct
  89. A block of ice at −10∘C is slowly heated and converted to steam at 100∘C. Which of the following curves represent the phenomenon qualitatively:2024 · 30 Jan · Shift 2 · Q67 · MCQ
  90. If three moles of monoatomic gas (γ=35​) is mixed with two moles of a diatomic gas (γ=57​), the value of adiabatic exponent γ for the mixture is2024 · 30 Jan · Shift 2 · Q73 · MCQ
  91. The given figure represents two isobaric processes for the same mass of an ideal gas, then Includes diagram2024 · 31 Jan · Shift 1 · Q63 · MCQ
  92. The parameter that remains the same for molecules of all gases at a given temperature is :2024 · 31 Jan · Shift 1 · Q67 · MCQ
  93. The speed of sound in oxygen at S.T.P. will be approximately: (given, R=8.3 JK−1,γ=1.4)2024 · 31 Jan · Shift 2 · Q69 · MCQ
  94. A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:2024 · 31 Jan · Shift 2 · Q71 · MCQ
  95. A sample of gas at temperature T is adiabatically expanded to double its volume. The work done by the gas in the process is (given,γ=23​) :2023 · 1 Feb · Shift 1 · Q56 · MCQ
  96. (P+V2a​)(V−b)=RT represents the equation of state of some gases. Where P is the pressure, V is the volume, T is the temperature and a,b,R are the constants. The physical quantity, which has dimensional…2023 · 1 Feb · Shift 1 · Q60 · MCQ
  97. The average kinetic energy of a molecule of the gas is2023 · 1 Feb · Shift 1 · Q61 · MCQ
  98. For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure. The temperature corresponding to the point 'K' is : Includes diagram2023 · 1 Feb · Shift 2 · Q62 · MCQ
  99. A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W. The rate at which internal energy of the system increases is2023 · 6 Apr · Shift 1 · Q47 · MCQ
  100. The number of air molecules per cm 3 increased from 3×1019 to 12×1019. The ratio of collision frequency of air molecules before and after the increase in number respectively is:2023 · 6 Apr · Shift 1 · Q60 · MCQ
  101. The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at 200 K is v0​. Then, r.m.s. speed of the gas at 800 K will be:2023 · 6 Apr · Shift 2 · Q47 · MCQ
  102. A body cools in 7 minutes from 60∘C to 40∘C. The temperature of the surrounding is 10∘C. The temperature of the body after the next 7 minutes will be:2023 · 6 Apr · Shift 2 · Q56 · MCQ
  103. The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:2023 · 6 Apr · Shift 2 · Q58 · MCQ
  104. Given below are two statements: Statement I: If heat is added to a system, its temperature must increase. Statement II: If positive work is done by a system in a thermodynamic process, its volume must increase. In the light of the above…2023 · 8 Apr · Shift 1 · Q54 · MCQ
  105. The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27∘C is2023 · 8 Apr · Shift 2 · Q54 · MCQ
  106. A steel rod of length 1 m and cross sectional area 10−4 m2 is heated from 0∘C to 200∘C without being allowed to extend or bend. The compressive tension produced in the rod…2023 · 8 Apr · Shift 2 · Q63 · Numerical
  107. Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to 81​ of its original volume while the gas in B is compressed…2023 · 10 Apr · Shift 1 · Q52 · MCQ
  108. Match List I with List II : Choose the correct answer from the options given below: Includes table2023 · 10 Apr · Shift 1 · Q62 · MCQ
  109. A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be,2023 · 10 Apr · Shift 2 · Q43 · MCQ
  110. A gas is compressed adiabatically, which one of the following statement is NOT true.2023 · 10 Apr · Shift 2 · Q46 · MCQ
  111. 1 kg of water at 100∘C is converted into steam at 100∘C by boiling at atmospheric pressure. The volume of water changes from 1.00×10−3 m3 as a liquid to 1.671 m3…2023 · 11 Apr · Shift 1 · Q50 · MCQ
  112. On a temperature scale 'X', the boiling point of water is 65∘X and the freezing point is −15∘X. Assume that the X scale is linear. The equivalent temperature corresponding to −95∘X…2023 · 11 Apr · Shift 1 · Q52 · MCQ
  113. Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafloride (polyatomic). Arrange these on…2023 · 11 Apr · Shift 1 · Q54 · MCQ
  114. The Thermodynamic process, in which internal energy of the system remains constant is2023 · 11 Apr · Shift 2 · Q46 · MCQ
  115. The root mean square speed of molecules of nitrogen gas at 27∘C is approximately : (Given mass of a nitrogen molecule =4.6×10−26 kg and take Boltzmann constant kB​=1.4×10−23JK−1…2023 · 11 Apr · Shift 2 · Q60 · MCQ
  116. If the r. m.s speed of chlorine molecule is 490 m/s at 27∘C, the r. m. s speed of argon molecules at the same temperature will be (Atomic mass of argon =39.9u, molecular mass of…2023 · 12 Apr · Shift 1 · Q57 · MCQ
  117. The rms speed of oxygen molecule in a vessel at particular temperature is (1+x5​)21​v, where v is the average speed of the molecule. The value of x will be: ( Take π=722​)…2023 · 13 Apr · Shift 1 · Q51 · MCQ
  118. The initial pressure and volume of an ideal gas are P 0​ and V 0​. The final pressure of the gas when the gas is suddenly compressed to volume 4V0​​ will be : (Given γ = ratio of specific heats at constant pressure and…2023 · 13 Apr · Shift 2 · Q47 · MCQ
  119. The mean free path of molecules of a certain gas at STP is 1500 d, where d is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at 373 K is…2023 · 13 Apr · Shift 2 · Q54 · MCQ
  120. Two plates A and B have thermal conductivities 84 Wm−1 K−1 and 126 Wm−1 K−1 respectively. They have same surface area and same thickness. They are placed in…2023 · 13 Apr · Shift 2 · Q66 · Numerical
  121. A thermodynamic system is taken through cyclic process. The total work done in the process is : Includes diagram2023 · 15 Apr · Shift 1 · Q58 · MCQ
  122. A flask contains Hydrogen and Argon in the ratio 2:1 by mass. The temperature of the mixture is 30∘C. The ratio of average kinetic energy per molecule of the two gases ( K argon/K hydrogen) is : (Given:…2023 · 15 Apr · Shift 1 · Q61 · MCQ
  123. 1 g of a liquid is converted to vapour at 3 × 10 5 Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600 cm 3 during this phase change, then the increase in internal energy in the process will be :2023 · 24 Jan · Shift 1 · Q55 · MCQ
  124. Given below are two statements : Statement I : The temperature of a gas is −73∘ C. When the gas is heated to 527∘ C, the root mean square speed of the molecules is doubled. Statement II : The product of pressure and volume of…2023 · 24 Jan · Shift 1 · Q59 · MCQ
  125. A hole is drilled in a metal sheet. At 27∘C, the diameter of hole is 5 cm. When the sheet is heated to 177∘C, the change in the diameter of hole is d×10−3 cm. The value of d will be ​…2023 · 24 Jan · Shift 1 · Q66 · Numerical
  126. Let γ1​ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and γ2​ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid…2023 · 24 Jan · Shift 2 · Q51 · MCQ
  127. In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; T3​>T2​>T1​ as :2023 · 24 Jan · Shift 2 · Q53 · MCQ
  128. The root mean square velocity of molecules of gas is2023 · 25 Jan · Shift 1 · Q49 · MCQ
  129. Match List I with List II Choose the correct answer from the options given below : Includes table2023 · 25 Jan · Shift 2 · Q50 · MCQ
  130. The graph between two temperature scales P and Q is shown in the figure. Between upper fixed point and lower fixed point there are 150 equal divisions of scale P and 100 divisions on scale Q. The relationship for conversion between the two… Includes diagram2023 · 25 Jan · Shift 2 · Q56 · MCQ
  131. According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-2023 · 25 Jan · Shift 2 · Q61 · MCQ
  132. Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If dQ and dW represent the heat supplied to the system and the work done on the system respectively. Then according to…2023 · 29 Jan · Shift 1 · Q53 · MCQ
  133. Heat energy of 184 kJ is given to ice of mass 600 g at −12∘C. Specific heat of ice is 2222.3 J kg−1∘ C−1 and latent heat of ice in 336 kJ/kg−1 A. Final temperature of system will be 0 ∘…2023 · 29 Jan · Shift 2 · Q49 · MCQ
  134. At 300 K, the rms speed of oxygen molecules is αα+5​​ times to that of its average speed in the gas. Then, the value of α will be (used π=722​)2023 · 29 Jan · Shift 2 · Q60 · MCQ
  135. The pressure (P) and temperature (T) relationship of an ideal gas obeys the equation PT2= constant. The volume expansion coefficient of the gas will be :2023 · 30 Jan · Shift 1 · Q44 · MCQ
  136. Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B. Internal energy of the gas will increase. C. Internal energy of the gas will not change. D. The gas will do positive work. E. The gas…2023 · 30 Jan · Shift 1 · Q48 · MCQ
  137. A flask contains hydrogen and oxygen in the ratio of 2:1 by mass at temperature 27∘C. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is:2023 · 30 Jan · Shift 2 · Q57 · MCQ
  138. A faulty thermometer reads 5∘C in melting ice and 95∘C in stream. The correct temperature on absolute scale will be ​K when the faulty thermometer reads 41∘C…2023 · 30 Jan · Shift 2 · Q63 · Numerical
  139. The pressure of a gas changes linearly with volume from A to B as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be Includes diagram2023 · 31 Jan · Shift 1 · Q62 · MCQ
  140. The correct relation between γ=cv​cp​​ and temperature T is :2023 · 31 Jan · Shift 1 · Q63 · MCQ
  141. Heat energy of 735 J is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy of the gas will be :2023 · 31 Jan · Shift 2 · Q46 · MCQ
  142. A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is 8116​. Then the ratio of CvCp​…2023 · 31 Jan · Shift 2 · Q55 · MCQ
  143. A water heater of power 2000 W is used to heat water. The specific heat capacity of water is 4200 Jkg−1 K−1. The efficiency of heater is 70%. Time required to heat 2 kg of…2023 · 31 Jan · Shift 2 · Q63 · Numerical
  144. Two metallic blocks M1 and M2 of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M2 is K then the thermal conductivity of M1 will be : [Assume steady state heat conduction] Includes diagram2022 · 24 Jun · Shift 1 · Q61 · MCQ
  145. 0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127 ∘ C. Th amount of heat required to double the speed of its molecules is ​ k cal. Take R = 2 cal mole − 1 K − 1)2022 · 24 Jun · Shift 1 · Q62 · Numerical
  146. A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms − 1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail? [Specific heat capacity of iron =…2022 · 24 Jun · Shift 2 · Q58 · MCQ
  147. A monoatomic gas performs a work of 4Q​ where Q is the heat supplied to it. The molar heat capacity of the gas will be ​ R during this transformation. Where R is the gas constant.2022 · 24 Jun · Shift 2 · Q70 · Numerical
  148. A certain amount of gas of volume V at 27∘C temperature and pressure 2×107Nm−2 expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets…2022 · 25 Jul · Shift 1 · Q47 · MCQ
  149. Following statements are given : (A) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (B) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature. (C)…2022 · 25 Jul · Shift 1 · Q48 · MCQ
  150. A unit scale is to be prepared whose length does not change with temperature and remains 20 cm, using a bimetallic strip made of brass and iron each of different length. The length of both components would change in such a way…2022 · 25 Jul · Shift 1 · Q64 · Numerical
  151. Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is 2​ times the speed of sound, then the value of n will be :2022 · 25 Jul · Shift 2 · Q57 · MCQ
  152. A block of ice of mass 120 g at temperature 0 ∘ C is put in 300 g of water at 25 ∘ C. The x g of ice melts as the temperature of the water reaches 0 ∘ C. The value of x is ​. [Use specific heat…2022 · 25 Jul · Shift 2 · Q65 · Numerical
  153. The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :2022 · 25 Jun · Shift 1 · Q50 · MCQ
  154. A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10 ∘ C, calculate the increase in volume of the cube. (Given α= 5.0 × 10 − 4 ∘ C − 1).2022 · 25 Jun · Shift 2 · Q49 · MCQ
  155. A copper block of mass 5.0 kg is heated to a temperature of 500 ∘ C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper : 0.39 J g − 1 ∘ C − 1 and latent heat of…2022 · 25 Jun · Shift 2 · Q50 · MCQ
  156. The ratio of specific heats (CV​CP​​) in terms of degree of freedom (f) is given by :2022 · 25 Jun · Shift 2 · Q51 · MCQ
  157. When a gas filled in a closed vessel is heated by raising the temperature by 1 ∘ C, its pressure increases by 0.4%. The initial temperature of the gas is ​ K.2022 · 25 Jun · Shift 2 · Q69 · Numerical
  158. 7 mol of a certain monoatomic ideal gas undergoes a temperature increase of 40 K at constant pressure. The increase in the internal energy of the gas in this process is : (Given R=8.3JK−1 mol−1…2022 · 26 Jul · Shift 1 · Q56 · MCQ
  159. A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :2022 · 26 Jul · Shift 1 · Q57 · MCQ
  160. An ice cube of dimensions 60 cm×50 cm×20 cm is placed in an insulation box of wall thickness 1 cm. The box keeping the ice cube at 0∘C of temperature is brought…2022 · 26 Jul · Shift 2 · Q49 · MCQ
  161. A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be :2022 · 26 Jul · Shift 2 · Q50 · MCQ
  162. A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of…2022 · 26 Jun · Shift 1 · Q49 · MCQ
  163. A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept at 27 ∘ C. The ratio of their average kinetic energy per molecule respectively will be :2022 · 26 Jun · Shift 2 · Q53 · MCQ
  164. A geyser heats water flowing at a rate of 2.0 kg per minute from 30 ∘ C to 70 ∘ C. If geyser operates on a gas burner, the rate of combustion of fuel will be ​ g min − 1. [Heat of combustion = 8 ×…2022 · 26 Jun · Shift 2 · Q67 · Numerical
  165. If K1​ and K2​ are the thermal conductivities, L1​ and L2​ are the lengths and A1​ and A2​ are the cross sectional areas of steel and copper rods respectively such that K1​K2​​=9,A2​A1​​=2,L2​L1​​=2… Includes diagram2022 · 27 Jul · Shift 1 · Q53 · MCQ
  166. Read the following statements : A. When small temperature difference between a liquid and its surrounding is doubled, the rate of loss of heat of the liquid becomes twice. B. Two bodies P and Q having equal surface areas are maintained…2022 · 27 Jul · Shift 1 · Q54 · MCQ
  167. Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1:4, then A. The r.m.s. velocity of gas molecules in two vessels will be the same. B. The ratio of pressure in…2022 · 27 Jul · Shift 1 · Q55 · MCQ
  168. Which statements are correct about degrees of freedom ? (A) A molecule with n degrees of freedom has n 2 different ways of storing energy. (B) Each degree of freedom is associated with 21​ RT average energy per mole. (C) A…2022 · 27 Jul · Shift 2 · Q48 · MCQ
  169. A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be: [Take gas constant R = 8.3 JK − 1mol…2022 · 27 Jun · Shift 1 · Q60 · MCQ
  170. For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows : Includes diagram2022 · 27 Jun · Shift 2 · Q51 · MCQ
  171. According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0 ∘ C. B. The mean free path of gas molecules decreases if the density of molecules is increased. C. The mean free path of gas molecules increases…2022 · 27 Jun · Shift 2 · Q52 · MCQ
  172. A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is : (Given : initial temperature of the bullet = 127 ∘ C, Melting point of the bullet =…2022 · 27 Jun · Shift 2 · Q53 · MCQ
  173. A diatomic gas (γ = 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the process is ​ J.2022 · 27 Jun · Shift 2 · Q65 · Numerical
  174. Given below are two statements : Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature. Statement II : The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the…2022 · 28 Jul · Shift 1 · Q53 · MCQ
  175. A vessel contains 14 g of nitrogen gas at a temperature of 27∘C. The amount of heat to be transferred to the gas to double the r.m.s speed of its molecules will be : Take R=8.32 J mol−1k−1…2022 · 28 Jul · Shift 2 · Q47 · MCQ
  176. At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas performs 150 J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be ​ J.2022 · 28 Jul · Shift 2 · Q60 · Numerical
  177. Given below are two statements : Statement I : When μ amount of an ideal gas undergoes adiabatic change from state (P1, V1, T1) to state (P2, V2, T2), then work done is W=1−γμR(T2​−T1​)​, where γ=Cv​Cp​​…2022 · 28 Jun · Shift 1 · Q49 · MCQ
  178. The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be ​ J. (Given R = 8.31 J/mol.K)2022 · 28 Jun · Shift 1 · Q67 · Numerical
  179. A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC.… Includes diagram2022 · 28 Jun · Shift 2 · Q57 · MCQ
  180. What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?2022 · 28 Jun · Shift 2 · Q58 · MCQ
  181. The pressure P1​ and density d1​ of diatomic gas (γ=57​) changes suddenly to P2​(>P1​) and d2​ respectively during an adiabatic…2022 · 29 Jul · Shift 1 · Q69 · Numerical
  182. One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is 4α2​RJ/molK; then the value of α…2022 · 29 Jul · Shift 1 · Q70 · Numerical
  183. A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown in the figure. Its volume is then reduced to the original volume from E to F by an isobaric process. The total work done by the… Includes diagram2022 · 29 Jul · Shift 2 · Q59 · MCQ
  184. The root mean square speed of smoke particles of mass 5×10−17 kg in their Brownian motion in air at NTP is approximately. [Given k=1.38×10−23JK−1]2022 · 29 Jul · Shift 2 · Q60 · MCQ
  185. A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0 ∘ C will be : (Given gas constant R = 8.3 JK −…2022 · 29 Jun · Shift 1 · Q45 · MCQ
  186. In van der Waal equation [P+V2a​][V − b] = RT; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants ba​ is dimensionally equal to :2022 · 29 Jun · Shift 1 · Q52 · MCQ
  187. Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce…2022 · 29 Jun · Shift 1 · Q59 · Numerical
  188. As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates are 4.0 cm and 2.5 cm respectively and the area of cross-section is 120 cm2 for each plate.… Includes diagram2022 · 29 Jun · Shift 1 · Q61 · Numerical
  189. At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm ? Both the diameters have been measured at room temperature (27 ∘ C). (Given : coefficient of linear…2022 · 29 Jun · Shift 2 · Q45 · MCQ
  190. Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work done by the gas is W1 if the process is purely isothermal, W2, if the process is purely adiabatic and W3 if the process…2022 · 29 Jun · Shift 2 · Q50 · MCQ
  191. A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is :2022 · 29 Jun · Shift 2 · Q54 · MCQ
  192. The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes 180 cm of mercury. Temperature of the liquid is : (Given 0 ∘…2022 · 30 Jun · Shift 1 · Q49 · MCQ
  193. A sample of monoatomic gas is taken at initial pressure of 75 kPa. The volume of the gas is then compressed from 1200 cm3 to 150 cm3 adiabatically. In this process, the value of workdone on the gas will be :2022 · 30 Jun · Shift 1 · Q52 · MCQ
  194. The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0 ∘ C without changing the pressure of the gas. The molecules in the gas rotate but do not oscillate. If the ratio of change in internal energy of the gas to…2021 · 1 Sep · Shift 2 · Q66 · Numerical
  195. The average translational kinetic energy of N2 gas molecules at ............. ∘ C becomes equal to the K.E. of an electron accelerated from rest through a potential difference of 0.1 volt. (Given kB = 1.38 × 10 − 23 J/K)…2021 · 1 Sep · Shift 2 · Q70 · Numerical
  196. In thermodynamics, heat and work are :2021 · 16 Mar · Shift 1 · Q51 · MCQ
  197. The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon dioxide at absolute temperature T. Consider R as universal gas constant. The pressure of the mixture of gases is :2021 · 16 Mar · Shift 1 · Q61 · MCQ
  198. Calculate the value of mean free path (λ) for oxygen molecules at temperature 27 ∘ C and pressure 1.01 × 105 Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. (k = 1.38 × 10 − 23 JK − 1)2021 · 16 Mar · Shift 2 · Q54 · MCQ
  199. A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal A has higher coefficient of expansion compared to that of metal B. When the bimetallic strip is placed in a cold bath, it will : Includes diagram2021 · 16 Mar · Shift 2 · Q60 · MCQ
  200. A polyatomic ideal gas has 24 vibrational modes. What is the value of γ?2021 · 17 Mar · Shift 1 · Q44 · MCQ