NEET Physics Thermodynamics MCQs

Two identical isolated containers A and B contain ideal gases with the same number of moles. Container A is at a temperature $T_A$ while container B is at a temperature $T_B = 2T_A$. A third identical container C is evacuated and brought into thermal contact with A and then with B. If the final temperature of C is $T_C$, which of the following relations is correct?

A metallic sphere with a radius of $r$ and emissivity $e$ is heated to a temperature $T$. If the absolute temperature of the surroundings is $T_0$, which of the following expressions correctly represents the net rate of heat loss by radiation from the sphere?

Two different metallic rods of the same length have their ends kept at the same temperatures $heta_1$ and $heta_2$ with $heta_2 > heta_1$. If $A_1$ and $A_2$ are their cross-sectional areas, $K_1$ and $K_2$ their thermal conductivities, the rate of heat flow is the same in both the rods. The condition for this is:

A body cools from 50°C to 40°C in 5 minutes. The surrounding temperature is 20°C. In the next 5 minutes, it will cool approximately to:

A gas undergoes a thermodynamic cycle consisting of three processes: (1) Isobaric expansion from $V_1$ to $2V_1$, (2) Isochoric cooling, and (3) Adiabatic compression back to the initial state. If the initial pressure and temperature are $P_1$ and $T_1$ respectively, and the temperature after the isobaric process is $T_2$, what is the net work done by the gas during one complete cycle?

A solid sphere and a hollow sphere of the same material and radius are heated to the same temperature and allowed to cool in the same environment. Which sphere will have a higher initial rate of cooling?

A diatomic ideal gas undergoes a thermodynamic process in which its molar heat capacity is $C = \frac{3R}{2}$. Which of the following processes could this represent?

One mole of an ideal monatomic gas undergoes a reversible process described by $PV^2 = ext{constant}$. The molar heat capacity of the gas during this process is:

A rigid, insulated container is divided into two compartments by a partition. One compartment contains 2 moles of an ideal monatomic gas at temperature $T_1$, and the other contains 1 mole of a diatomic ideal gas at temperature $T_2$. If the partition is removed, and the gases are allowed to mix and reach equilibrium, what is the final temperature of the mixture? Assume no heat exchange with the surroundings.

A system undergoes a process in which it absorbs 500 J of heat and does 200 J of work. According to the First Law of Thermodynamics, the change in internal energy (ΔU) of the system is: