Two identical long solid cylinders are used to conduct heat from temperature $T_1$ to temperature $T_2$. Originally, the cylinders are connected in series and the rate of heat transfer is $H$. If the cylinders are connected in parallel, then the rate of heat transfer will be

A flask contains argon and chlorine in the ratio of $2: 1$ by mass, the temperature of mixture is $27^{\circ} \mathrm{C}$, the ratio of root mean square ( $U_{\mathrm{rms}}$ ) of the molecule of two gases (Given, Atomic mass of argon $=39.9 v$, Molecular mass of chlorine $=70.9 u$ )

Variation of internal energy with density of one mole of monoatomic gas is depicted in the below figure, corresponding variation of pressure with volume can be depicted as (assuming the curve is rectangular hyperbola)

Two different ideal diatomic gases $A$ and $B$ are initially in the same state. $A$ and $B$ are then expanded to same final volume through adiabatic and isothermal process, respectively. If $p_A, p_B$ and $T_A, T_B$ represent the final pressures and temperatures at $A$ and $B$ respectively, then