00. Conduction
Heat Transfer

149357 A bi-metallic slab is made (refer figure by fusing two material. The components have same thickness and lengths, but are of thermal conductivities $K_{1}$ and $K_{2}$. If $\left(T_{1}>T_{2}\right)$, the heat were to conduct across the faces $\left(T_{1}>T_{2}\right)$ then effective thermal conductivity of the composite slab is
$\mathrm{T}_{1}$

$\mathrm{T}_{2}$

1 $2\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)$
2 $\frac{\mathrm{K}_{1} \times \mathrm{K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$
3 $\frac{2 \mathrm{~K}_{1} \times \mathrm{K}_{2}}{\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)}$
4 $\frac{\left(\mathrm{K}_{1}+\mathrm{K}_{2}\right)}{2}$
Heat Transfer

149358 Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are $K_{1}$ and $K_{2}$ and cross-sectional areas $A_{1}$ and $A_{2}$, respectively. If the rate of heat conduction in 1 is four times that in $\mathbf{2}$, then

1 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
2 $\mathrm{K}_{1} \mathrm{~A}_{1}=2 \mathrm{~K}_{2} \mathrm{~A}_{2}$
3 $4 \mathrm{~K}_{1} \mathrm{~A}_{1}=\mathrm{K}_{2} \mathrm{~A}_{2}$
4 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
Heat Transfer

149359 A conductor of area of cross-section $100 \mathrm{~cm}^{2}$ and length $1 \mathrm{~cm}$ has coefficient of thermal conductivity $0.75 \mathrm{cal} \mathrm{s}^{-1} \mathrm{~cm}^{-1} \mathrm{~K}^{-1}$. If $3000 \mathrm{cal}$ of heat flows through the conductor per second, the temperature difference across the conductor is

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $80^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$
Heat Transfer

149360 A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio 4:1. The free face of copper is at $0^{\circ} \mathrm{C}$. The temperature of the interface is $20^{\circ} \mathrm{C}$. What is the temperature of the free face of brass?

1 $0^{\circ} \mathrm{C}$
2 $20^{\circ} \mathrm{C}$
3 $40^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$
Heat Transfer

149357 A bi-metallic slab is made (refer figure by fusing two material. The components have same thickness and lengths, but are of thermal conductivities $K_{1}$ and $K_{2}$. If $\left(T_{1}>T_{2}\right)$, the heat were to conduct across the faces $\left(T_{1}>T_{2}\right)$ then effective thermal conductivity of the composite slab is
$\mathrm{T}_{1}$

$\mathrm{T}_{2}$

1 $2\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)$
2 $\frac{\mathrm{K}_{1} \times \mathrm{K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$
3 $\frac{2 \mathrm{~K}_{1} \times \mathrm{K}_{2}}{\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)}$
4 $\frac{\left(\mathrm{K}_{1}+\mathrm{K}_{2}\right)}{2}$
Heat Transfer

149358 Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are $K_{1}$ and $K_{2}$ and cross-sectional areas $A_{1}$ and $A_{2}$, respectively. If the rate of heat conduction in 1 is four times that in $\mathbf{2}$, then

1 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
2 $\mathrm{K}_{1} \mathrm{~A}_{1}=2 \mathrm{~K}_{2} \mathrm{~A}_{2}$
3 $4 \mathrm{~K}_{1} \mathrm{~A}_{1}=\mathrm{K}_{2} \mathrm{~A}_{2}$
4 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
Heat Transfer

149359 A conductor of area of cross-section $100 \mathrm{~cm}^{2}$ and length $1 \mathrm{~cm}$ has coefficient of thermal conductivity $0.75 \mathrm{cal} \mathrm{s}^{-1} \mathrm{~cm}^{-1} \mathrm{~K}^{-1}$. If $3000 \mathrm{cal}$ of heat flows through the conductor per second, the temperature difference across the conductor is

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $80^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$
Heat Transfer

149360 A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio 4:1. The free face of copper is at $0^{\circ} \mathrm{C}$. The temperature of the interface is $20^{\circ} \mathrm{C}$. What is the temperature of the free face of brass?

1 $0^{\circ} \mathrm{C}$
2 $20^{\circ} \mathrm{C}$
3 $40^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$
Heat Transfer

149357 A bi-metallic slab is made (refer figure by fusing two material. The components have same thickness and lengths, but are of thermal conductivities $K_{1}$ and $K_{2}$. If $\left(T_{1}>T_{2}\right)$, the heat were to conduct across the faces $\left(T_{1}>T_{2}\right)$ then effective thermal conductivity of the composite slab is
$\mathrm{T}_{1}$

$\mathrm{T}_{2}$

1 $2\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)$
2 $\frac{\mathrm{K}_{1} \times \mathrm{K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$
3 $\frac{2 \mathrm{~K}_{1} \times \mathrm{K}_{2}}{\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)}$
4 $\frac{\left(\mathrm{K}_{1}+\mathrm{K}_{2}\right)}{2}$
Heat Transfer

149358 Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are $K_{1}$ and $K_{2}$ and cross-sectional areas $A_{1}$ and $A_{2}$, respectively. If the rate of heat conduction in 1 is four times that in $\mathbf{2}$, then

1 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
2 $\mathrm{K}_{1} \mathrm{~A}_{1}=2 \mathrm{~K}_{2} \mathrm{~A}_{2}$
3 $4 \mathrm{~K}_{1} \mathrm{~A}_{1}=\mathrm{K}_{2} \mathrm{~A}_{2}$
4 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
Heat Transfer

149359 A conductor of area of cross-section $100 \mathrm{~cm}^{2}$ and length $1 \mathrm{~cm}$ has coefficient of thermal conductivity $0.75 \mathrm{cal} \mathrm{s}^{-1} \mathrm{~cm}^{-1} \mathrm{~K}^{-1}$. If $3000 \mathrm{cal}$ of heat flows through the conductor per second, the temperature difference across the conductor is

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $80^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$
Heat Transfer

149360 A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio 4:1. The free face of copper is at $0^{\circ} \mathrm{C}$. The temperature of the interface is $20^{\circ} \mathrm{C}$. What is the temperature of the free face of brass?

1 $0^{\circ} \mathrm{C}$
2 $20^{\circ} \mathrm{C}$
3 $40^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$
Heat Transfer

149357 A bi-metallic slab is made (refer figure by fusing two material. The components have same thickness and lengths, but are of thermal conductivities $K_{1}$ and $K_{2}$. If $\left(T_{1}>T_{2}\right)$, the heat were to conduct across the faces $\left(T_{1}>T_{2}\right)$ then effective thermal conductivity of the composite slab is
$\mathrm{T}_{1}$

$\mathrm{T}_{2}$

1 $2\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)$
2 $\frac{\mathrm{K}_{1} \times \mathrm{K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$
3 $\frac{2 \mathrm{~K}_{1} \times \mathrm{K}_{2}}{\left(\mathrm{~K}_{1}+\mathrm{K}_{2}\right)}$
4 $\frac{\left(\mathrm{K}_{1}+\mathrm{K}_{2}\right)}{2}$
Heat Transfer

149358 Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are $K_{1}$ and $K_{2}$ and cross-sectional areas $A_{1}$ and $A_{2}$, respectively. If the rate of heat conduction in 1 is four times that in $\mathbf{2}$, then

1 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
2 $\mathrm{K}_{1} \mathrm{~A}_{1}=2 \mathrm{~K}_{2} \mathrm{~A}_{2}$
3 $4 \mathrm{~K}_{1} \mathrm{~A}_{1}=\mathrm{K}_{2} \mathrm{~A}_{2}$
4 $\mathrm{K}_{1} \mathrm{~A}_{1}=4 \mathrm{~K}_{2} \mathrm{~A}_{2}$
Heat Transfer

149359 A conductor of area of cross-section $100 \mathrm{~cm}^{2}$ and length $1 \mathrm{~cm}$ has coefficient of thermal conductivity $0.75 \mathrm{cal} \mathrm{s}^{-1} \mathrm{~cm}^{-1} \mathrm{~K}^{-1}$. If $3000 \mathrm{cal}$ of heat flows through the conductor per second, the temperature difference across the conductor is

1 $40^{\circ} \mathrm{C}$
2 $60^{\circ} \mathrm{C}$
3 $80^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$
Heat Transfer

149360 A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio 4:1. The free face of copper is at $0^{\circ} \mathrm{C}$. The temperature of the interface is $20^{\circ} \mathrm{C}$. What is the temperature of the free face of brass?

1 $0^{\circ} \mathrm{C}$
2 $20^{\circ} \mathrm{C}$
3 $40^{\circ} \mathrm{C}$
4 $100^{\circ} \mathrm{C}$