149327 The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity $K$ and $2 K$ and thickness $x$ and $4 x$, respectively are $T_{2}$ and $T_{1}\left(T_{2}>T_{1}\right)$. The rate of heat transfer through the slab, in a steady state is
$\left(\frac{A\left(T_{2}-T_{1}\right) K}{x}\right) f \text {, with } f \text { equals to }$
$C_{1}^{T_{1}}$

149328 Cylindrical rod of copper of length $2 \mathrm{~m}$ and cross-sectional area $2 \mathbf{c m}^{2}$ is insulated at its curved surface. The one end of rod is maintained in steam chamber and other is maintained in ice at $0^{\circ} \mathrm{C}$. The thermal conductivity of copper is $386 \mathrm{Js}^{-1} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ ). Fin the temperature at a point which is at a distance of $120 \mathrm{~cm}$ from the colder end.

149329 Three rods each of length $l$ and cross sectional area $A$ joined in series between two heat reservoirs as shown in the figure. Their conductivities are $2 \mathrm{~K}, \mathrm{~K}$ and $\frac{\mathrm{K}}{2}$, respectively.
Assuming that the conductors are insulated from surroundings, the temperatures $T_{1}$ and $T_{2}$ of the junctions in steady state condition are respectively.

149330 A composite bar of uniform cross-section is made of $25 \mathrm{~cm}$ of copper, $10 \mathrm{~cm}$ of nickel and $15 \mathrm{~cm}$ of aluminum with perfect thermal contacts. The free copper end of the rod is at $100^{\circ} \mathrm{C}$ and the free aluminum end is at $0^{\circ} \mathrm{C}$. If $K_{\mathrm{Cu}}=2 \mathrm{~K}_{\mathrm{Al}}$ and $\mathrm{K}_{\mathrm{Al}}=3 \mathrm{~K}_{\mathrm{Ni}}$ then the temperatures of $\mathrm{Cu}-\mathrm{Ni}$ and $\mathrm{Ni}-\mathrm{Al}$ junctions are respectively,
(Assume no loss of heat occurs from the sides of the rod, K-thermal conductivity),

149327 The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity $K$ and $2 K$ and thickness $x$ and $4 x$, respectively are $T_{2}$ and $T_{1}\left(T_{2}>T_{1}\right)$. The rate of heat transfer through the slab, in a steady state is
$\left(\frac{A\left(T_{2}-T_{1}\right) K}{x}\right) f \text {, with } f \text { equals to }$
$C_{1}^{T_{1}}$

149328 Cylindrical rod of copper of length $2 \mathrm{~m}$ and cross-sectional area $2 \mathbf{c m}^{2}$ is insulated at its curved surface. The one end of rod is maintained in steam chamber and other is maintained in ice at $0^{\circ} \mathrm{C}$. The thermal conductivity of copper is $386 \mathrm{Js}^{-1} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ ). Fin the temperature at a point which is at a distance of $120 \mathrm{~cm}$ from the colder end.

149329 Three rods each of length $l$ and cross sectional area $A$ joined in series between two heat reservoirs as shown in the figure. Their conductivities are $2 \mathrm{~K}, \mathrm{~K}$ and $\frac{\mathrm{K}}{2}$, respectively.
Assuming that the conductors are insulated from surroundings, the temperatures $T_{1}$ and $T_{2}$ of the junctions in steady state condition are respectively.

149330 A composite bar of uniform cross-section is made of $25 \mathrm{~cm}$ of copper, $10 \mathrm{~cm}$ of nickel and $15 \mathrm{~cm}$ of aluminum with perfect thermal contacts. The free copper end of the rod is at $100^{\circ} \mathrm{C}$ and the free aluminum end is at $0^{\circ} \mathrm{C}$. If $K_{\mathrm{Cu}}=2 \mathrm{~K}_{\mathrm{Al}}$ and $\mathrm{K}_{\mathrm{Al}}=3 \mathrm{~K}_{\mathrm{Ni}}$ then the temperatures of $\mathrm{Cu}-\mathrm{Ni}$ and $\mathrm{Ni}-\mathrm{Al}$ junctions are respectively,
(Assume no loss of heat occurs from the sides of the rod, K-thermal conductivity),

149327 The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity $K$ and $2 K$ and thickness $x$ and $4 x$, respectively are $T_{2}$ and $T_{1}\left(T_{2}>T_{1}\right)$. The rate of heat transfer through the slab, in a steady state is
$\left(\frac{A\left(T_{2}-T_{1}\right) K}{x}\right) f \text {, with } f \text { equals to }$
$C_{1}^{T_{1}}$

149328 Cylindrical rod of copper of length $2 \mathrm{~m}$ and cross-sectional area $2 \mathbf{c m}^{2}$ is insulated at its curved surface. The one end of rod is maintained in steam chamber and other is maintained in ice at $0^{\circ} \mathrm{C}$. The thermal conductivity of copper is $386 \mathrm{Js}^{-1} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ ). Fin the temperature at a point which is at a distance of $120 \mathrm{~cm}$ from the colder end.

149329 Three rods each of length $l$ and cross sectional area $A$ joined in series between two heat reservoirs as shown in the figure. Their conductivities are $2 \mathrm{~K}, \mathrm{~K}$ and $\frac{\mathrm{K}}{2}$, respectively.
Assuming that the conductors are insulated from surroundings, the temperatures $T_{1}$ and $T_{2}$ of the junctions in steady state condition are respectively.

149330 A composite bar of uniform cross-section is made of $25 \mathrm{~cm}$ of copper, $10 \mathrm{~cm}$ of nickel and $15 \mathrm{~cm}$ of aluminum with perfect thermal contacts. The free copper end of the rod is at $100^{\circ} \mathrm{C}$ and the free aluminum end is at $0^{\circ} \mathrm{C}$. If $K_{\mathrm{Cu}}=2 \mathrm{~K}_{\mathrm{Al}}$ and $\mathrm{K}_{\mathrm{Al}}=3 \mathrm{~K}_{\mathrm{Ni}}$ then the temperatures of $\mathrm{Cu}-\mathrm{Ni}$ and $\mathrm{Ni}-\mathrm{Al}$ junctions are respectively,
(Assume no loss of heat occurs from the sides of the rod, K-thermal conductivity),

149327 The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity $K$ and $2 K$ and thickness $x$ and $4 x$, respectively are $T_{2}$ and $T_{1}\left(T_{2}>T_{1}\right)$. The rate of heat transfer through the slab, in a steady state is
$\left(\frac{A\left(T_{2}-T_{1}\right) K}{x}\right) f \text {, with } f \text { equals to }$
$C_{1}^{T_{1}}$

149328 Cylindrical rod of copper of length $2 \mathrm{~m}$ and cross-sectional area $2 \mathbf{c m}^{2}$ is insulated at its curved surface. The one end of rod is maintained in steam chamber and other is maintained in ice at $0^{\circ} \mathrm{C}$. The thermal conductivity of copper is $386 \mathrm{Js}^{-1} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ ). Fin the temperature at a point which is at a distance of $120 \mathrm{~cm}$ from the colder end.

149329 Three rods each of length $l$ and cross sectional area $A$ joined in series between two heat reservoirs as shown in the figure. Their conductivities are $2 \mathrm{~K}, \mathrm{~K}$ and $\frac{\mathrm{K}}{2}$, respectively.
Assuming that the conductors are insulated from surroundings, the temperatures $T_{1}$ and $T_{2}$ of the junctions in steady state condition are respectively.

149330 A composite bar of uniform cross-section is made of $25 \mathrm{~cm}$ of copper, $10 \mathrm{~cm}$ of nickel and $15 \mathrm{~cm}$ of aluminum with perfect thermal contacts. The free copper end of the rod is at $100^{\circ} \mathrm{C}$ and the free aluminum end is at $0^{\circ} \mathrm{C}$. If $K_{\mathrm{Cu}}=2 \mathrm{~K}_{\mathrm{Al}}$ and $\mathrm{K}_{\mathrm{Al}}=3 \mathrm{~K}_{\mathrm{Ni}}$ then the temperatures of $\mathrm{Cu}-\mathrm{Ni}$ and $\mathrm{Ni}-\mathrm{Al}$ junctions are respectively,
(Assume no loss of heat occurs from the sides of the rod, K-thermal conductivity),