One mole of a gas having $\gamma=\frac{7}{5}$ is mixed with one mole of a gas having $\gamma=\frac{4}{3}$. The value of $\gamma$ for the mixture is ( $\gamma$ is the ratio of the specific heats of the gas)

A Carnot heat engine has an efficiency of $10 \%$. If the same engine is worked backward to obtain a refrigerator, then the coefficient of performance of the refrigerator is

The rms velocity of a gas molecules oí mass $m$ at a given temperature is proportional to

Match the following．

(a) Thermal conductivity	(i) $\left[\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\right]$
(b) Boltzmann constant	(ii) $\left[M^0 L^2 T^{-2} K^{-1}\right]$
(c) Latent heat	(iii) $\left[M L^2 T^{-2} K^{-1}\right]$
(d) Specific heat	(iv) $\left[M^0 L^2 T^{-2}\right]$