Heat & Thermodynamics – JEE Main 2026 Quiz

Q1. 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 Cp/Cv for the gas is:

Q2. The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8 Ω and 10 Ω respectively. When the thermometer is placed in a hot bath at 400°C, the resistance of the platinum wire is:

Q3. A hole is drilled in a metal sheet. At 27°C, the diameter of the hole is 5 cm. When the sheet is heated to 177°C, the change in the diameter of the hole is d × 10⁻³ cm. If the coefficient of linear expansion of the metal is 1.6 × 10⁻⁵ °C⁻¹, then the value of d is:

Q4. The speed of sound in oxygen gas at STP is approximately (Given R = 8.3 J mol⁻¹ K⁻¹ and γ = 1.4):

Q5. At what temperature will the r.m.s. velocity of a hydrogen molecule be equal to that of an oxygen molecule at 47°C?

Q6. The temperature at which the average kinetic energy of oxygen molecules becomes double its value at 27°C is:

Q7. Two moles of a monoatomic gas are mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is:

Q8. Let γ₁ be the ratio of molar specific heats of a monoatomic gas and γ₂ be that of a diatomic gas (considered as rigid rotator). The ratio γ₁/γ₂ is:

Q9. Two spherical bodies of the same material having radii 0.2 m and 0.8 m are placed in the same atmosphere. The temperature of the smaller body is 800 K and that of the larger body is 400 K. If the energy radiated per second by the smaller body is E, then the energy radiated per second by the bigger body is:

Q10. One gram of a liquid is converted into vapour at a pressure of 3 × 10⁵ Pa. If 10% of the heat supplied is used in increasing the volume by 1600 cm³ during the phase change, then the increase in internal energy is: