00. Conduction
Heat Transfer

149347 Three identical thermal conductors are connected as shown in figure. Considering no heat loss due to radiation, temperature at the junction will be

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $50^{\circ} \mathrm{C}$
4 $35^{\circ} \mathrm{C}$
Heat Transfer

149348 Which of the following circular rods. (given radius $r$ and length $l$ ) each made of the same material as whose ends are maintained at the same temperature will conduct most heat?

1 $\mathrm{r}=2 \mathrm{r}_{0} ; l=2 l_{0}$
2 $\mathrm{r}=2 \mathrm{r}_{0} ; l=l_{0}$
3 $\mathrm{r}=\mathrm{r}_{0} ; l=l_{0}$
4 $\mathrm{r}=\mathrm{r}_{0} ; l=2 l_{0}$
Heat Transfer

149350 A composite slab is prepared with two different materials $A$ and $B$. The relation between their coefficient of thermal conductivity and thickness is given as $K_{A}=\frac{K_{B}}{2}$ and $X_{A}=2 X_{B}$, respectively. If the temperature of faces of $A$ and $B$ are $75^{\circ} \mathrm{C}$ and $50^{\circ} \mathrm{C}$ respectively, what will be the temperature of common surface?

1 $75^{\circ} \mathrm{C}$
2 $50^{\circ} \mathrm{C}$
3 $55^{\circ} \mathrm{C}$
4 $125^{\circ} \mathrm{C}$
Heat Transfer

149351 Two thin metallic spherical shells of radii 20 $\mathrm{cm}$ and $30 \mathrm{~cm}$, respectively are placed with their centres coinciding. A material of thermal condutivity $\alpha$ is filled in the space between the shells. The inner shell is maintained at $300 \mathrm{~K}$ and the outer shell at $310 \mathrm{~K}$. If the rate at which heat flows radially through the material is $40 \mathrm{~W}$, find the value of $\alpha$ (in units of $\mathrm{J} \mathrm{s}^{-1} \mathrm{~m}^{-1}$ $\mathrm{K}^{-1}$ ).

1 $\frac{3}{\pi}$
2 $\frac{4 \pi}{3}$
3 $\frac{5}{3 \pi}$
4 $\frac{\pi}{2}$
Heat Transfer

149347 Three identical thermal conductors are connected as shown in figure. Considering no heat loss due to radiation, temperature at the junction will be

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $50^{\circ} \mathrm{C}$
4 $35^{\circ} \mathrm{C}$
Heat Transfer

149348 Which of the following circular rods. (given radius $r$ and length $l$ ) each made of the same material as whose ends are maintained at the same temperature will conduct most heat?

1 $\mathrm{r}=2 \mathrm{r}_{0} ; l=2 l_{0}$
2 $\mathrm{r}=2 \mathrm{r}_{0} ; l=l_{0}$
3 $\mathrm{r}=\mathrm{r}_{0} ; l=l_{0}$
4 $\mathrm{r}=\mathrm{r}_{0} ; l=2 l_{0}$
Heat Transfer

149350 A composite slab is prepared with two different materials $A$ and $B$. The relation between their coefficient of thermal conductivity and thickness is given as $K_{A}=\frac{K_{B}}{2}$ and $X_{A}=2 X_{B}$, respectively. If the temperature of faces of $A$ and $B$ are $75^{\circ} \mathrm{C}$ and $50^{\circ} \mathrm{C}$ respectively, what will be the temperature of common surface?

1 $75^{\circ} \mathrm{C}$
2 $50^{\circ} \mathrm{C}$
3 $55^{\circ} \mathrm{C}$
4 $125^{\circ} \mathrm{C}$
Heat Transfer

149351 Two thin metallic spherical shells of radii 20 $\mathrm{cm}$ and $30 \mathrm{~cm}$, respectively are placed with their centres coinciding. A material of thermal condutivity $\alpha$ is filled in the space between the shells. The inner shell is maintained at $300 \mathrm{~K}$ and the outer shell at $310 \mathrm{~K}$. If the rate at which heat flows radially through the material is $40 \mathrm{~W}$, find the value of $\alpha$ (in units of $\mathrm{J} \mathrm{s}^{-1} \mathrm{~m}^{-1}$ $\mathrm{K}^{-1}$ ).

1 $\frac{3}{\pi}$
2 $\frac{4 \pi}{3}$
3 $\frac{5}{3 \pi}$
4 $\frac{\pi}{2}$
Heat Transfer

149347 Three identical thermal conductors are connected as shown in figure. Considering no heat loss due to radiation, temperature at the junction will be

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $50^{\circ} \mathrm{C}$
4 $35^{\circ} \mathrm{C}$
Heat Transfer

149348 Which of the following circular rods. (given radius $r$ and length $l$ ) each made of the same material as whose ends are maintained at the same temperature will conduct most heat?

1 $\mathrm{r}=2 \mathrm{r}_{0} ; l=2 l_{0}$
2 $\mathrm{r}=2 \mathrm{r}_{0} ; l=l_{0}$
3 $\mathrm{r}=\mathrm{r}_{0} ; l=l_{0}$
4 $\mathrm{r}=\mathrm{r}_{0} ; l=2 l_{0}$
Heat Transfer

149350 A composite slab is prepared with two different materials $A$ and $B$. The relation between their coefficient of thermal conductivity and thickness is given as $K_{A}=\frac{K_{B}}{2}$ and $X_{A}=2 X_{B}$, respectively. If the temperature of faces of $A$ and $B$ are $75^{\circ} \mathrm{C}$ and $50^{\circ} \mathrm{C}$ respectively, what will be the temperature of common surface?

1 $75^{\circ} \mathrm{C}$
2 $50^{\circ} \mathrm{C}$
3 $55^{\circ} \mathrm{C}$
4 $125^{\circ} \mathrm{C}$
Heat Transfer

149351 Two thin metallic spherical shells of radii 20 $\mathrm{cm}$ and $30 \mathrm{~cm}$, respectively are placed with their centres coinciding. A material of thermal condutivity $\alpha$ is filled in the space between the shells. The inner shell is maintained at $300 \mathrm{~K}$ and the outer shell at $310 \mathrm{~K}$. If the rate at which heat flows radially through the material is $40 \mathrm{~W}$, find the value of $\alpha$ (in units of $\mathrm{J} \mathrm{s}^{-1} \mathrm{~m}^{-1}$ $\mathrm{K}^{-1}$ ).

1 $\frac{3}{\pi}$
2 $\frac{4 \pi}{3}$
3 $\frac{5}{3 \pi}$
4 $\frac{\pi}{2}$
Heat Transfer

149347 Three identical thermal conductors are connected as shown in figure. Considering no heat loss due to radiation, temperature at the junction will be

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $50^{\circ} \mathrm{C}$
4 $35^{\circ} \mathrm{C}$
Heat Transfer

149348 Which of the following circular rods. (given radius $r$ and length $l$ ) each made of the same material as whose ends are maintained at the same temperature will conduct most heat?

1 $\mathrm{r}=2 \mathrm{r}_{0} ; l=2 l_{0}$
2 $\mathrm{r}=2 \mathrm{r}_{0} ; l=l_{0}$
3 $\mathrm{r}=\mathrm{r}_{0} ; l=l_{0}$
4 $\mathrm{r}=\mathrm{r}_{0} ; l=2 l_{0}$
Heat Transfer

149350 A composite slab is prepared with two different materials $A$ and $B$. The relation between their coefficient of thermal conductivity and thickness is given as $K_{A}=\frac{K_{B}}{2}$ and $X_{A}=2 X_{B}$, respectively. If the temperature of faces of $A$ and $B$ are $75^{\circ} \mathrm{C}$ and $50^{\circ} \mathrm{C}$ respectively, what will be the temperature of common surface?

1 $75^{\circ} \mathrm{C}$
2 $50^{\circ} \mathrm{C}$
3 $55^{\circ} \mathrm{C}$
4 $125^{\circ} \mathrm{C}$
Heat Transfer

149351 Two thin metallic spherical shells of radii 20 $\mathrm{cm}$ and $30 \mathrm{~cm}$, respectively are placed with their centres coinciding. A material of thermal condutivity $\alpha$ is filled in the space between the shells. The inner shell is maintained at $300 \mathrm{~K}$ and the outer shell at $310 \mathrm{~K}$. If the rate at which heat flows radially through the material is $40 \mathrm{~W}$, find the value of $\alpha$ (in units of $\mathrm{J} \mathrm{s}^{-1} \mathrm{~m}^{-1}$ $\mathrm{K}^{-1}$ ).

1 $\frac{3}{\pi}$
2 $\frac{4 \pi}{3}$
3 $\frac{5}{3 \pi}$
4 $\frac{\pi}{2}$
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