VITEEE 2018 Shift 1

Consider a pair of insulating blocks with thermal resistances $R_1$, and $R_2$ as shown in the figure. The temperature $\text{θ}$ at the boundary between the two blocks is

When a system is taken from state $i$ to state $f$ along the path $iaf$, it is found that $Q=50 \mathrm{cal}$ and $W=20 \mathrm{cal}$. Along the path $ibf$, $Q\text{'}=36 \mathrm{cal}$. $W$ along the path $ibf$ is,

The temperature of equal masses of the three different liquids $A$, $B$ and $C$ are ${12}^{\mathrm{ o}}\mathrm{C}, {19}^{\mathrm{ o}}\mathrm{C}$ and ${28}^{\mathrm{ o}}\mathrm{C}$, respectively. The temperature when $A$ and $B$ are mixed is ${16}^{\mathrm{ o}}\mathrm{C}$ and when $B$ and $C$ are mixed is ${23}^{\mathrm{ o}}\mathrm{C}$. The temperature when $A$ and $C$ are mixed is

A body cools from ${50.0}^{\mathrm{ o}}\mathrm{C}$ to ${49.9}^{\mathrm{ o}}\mathrm{C}$ in $\mathrm{5\; s.}$ How long will it take to cool from ${40.0}^{\mathrm{ o}}\mathrm{C}$ to ${39.9}^{\mathrm{ o}}\mathrm{C}$? Assume the temperature of surroundings to be ${30.0}^{\mathrm{ o}}\mathrm{C}$ and Newton's law of cooling to be valid

The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_{\mathrm{P}}$ and $C_{\mathrm{V}}$, respectively. If $\gamma =\frac{C_{\mathrm{P}}}{C_{\mathrm{V}}}$ and $R$ is the universal gas constant, the $C_{\mathrm{V}}$ is equal to

Graph of specific heat at constant volume for a monatomic gas is