If the temperature of a gas increased from $27^{\circ} \mathrm{C}$ to $159^{\circ} \mathrm{C}$, the increase in the rms speed of the gas molecules is

The temperature on a fahrenheit temperature scale that is twice the temperature on a celsius temperature scale is

The temperatures of equal masses of three different liquids $A, B$ and $C$ are $15^{\circ} \mathrm{C}, 24^{\circ} \mathrm{C}$ and $30^{\circ} \mathrm{C}$, respectively. The resultant temperature when liquids $A$ and $B$ are mixed is $20^{\circ} \mathrm{C}$ and when liquids $B$ and $C$ are mixed is $26^{\circ} \mathrm{C}$. Then, the ratio of specific heat capacities of the liquids $A, B$ and $C$ is

The efficiency of a reversible heat engine working between two temperatures is $50 \%$. The coefficient of performance of a refrigerator working between the same two temperatures but in reverse direction is