Two plates of same thickness of coefficients of thermal conductivities $K_1$ and $K_2$ and areas of cross section $A_1$ and $A_2$ are connected as shown. The effective coefficient of thermal conductivity $K$.
$K_1A_1 + K_2A_2$
$\frac{{{K_1}{A_1} + {K_2}{A_2}}}{{{A_1} + {A_2}}}$
$\frac{{{K_1}{A_2} + {K_2}{A_1}}}{{{A_1} + {A_2}}}$
$\frac{{{K_1}{A_1}}}{{{K_2}{A_2}}}$
Two rods $A$ and $B$ of different materials but same cross section are joined as in figure. The free end of $A$ is maintained at $100^o C$ and the free end of $B$ is maintained at $0^o C$. If $l_2 = 2l_1, K_1 = 2K_2$ and rods are thermally insulated from sides to prevent heat losses then the temperature $\theta$ of the junction of the two rods is ........ $^oC$
A black body at a high temperature $T\, K$ radiates energy at the rate $E\, watt/m^2$ ; when the temperature falls to $(T/2)\, K$ the radiated energy will be
Six identical conducting rods are joined as shown in figure. Points $A$ and $D$ are maintained at temperature of $200^o C$ and $20^o C$ respectively. The temperature of junction $B$ will be ....... $^oC$
A wall has two layer $A$ and $B$ each made of different material, both the layers have the same thickness. The thermal conductivity of the material $A$ is twice that of $B$. Under thermal equilibrium the temperature difference across the wall $B$ is $36^o C$. The temperature difference across the wall $A$ is ....... $^oC$
A body cools from $62\,^oC$ to $50\,^oC$ in $10\, minutes$ and to $42\,^oC$ in next $10\, minutes$. The temperature of the surrounding is ........... $^oC$