1
GATE ME 2024
MCQ (Single Correct Answer)
+1
-0.33

A plane, solid slab of thickness L, shown in the figure, has thermal conductivity k that varies with the spatial coordinate x as k = A + Bx, where A and B are positive constants (A > 0, B > 0). The slab walls are maintained at fixed temperatures of T(x = 0) = 0 and T(x = L) = T0 > 0. The slab has no internal heat sources. Considering one-dimensional heat transfer, which one of the following plots qualitatively depicts the steady-state temperature distribution within the slab?

GATE ME 2024 Heat Transfer - Conduction Question 6 English
A
GATE ME 2024 Heat Transfer - Conduction Question 6 English Option 1
B
GATE ME 2024 Heat Transfer - Conduction Question 6 English Option 2
C
GATE ME 2024 Heat Transfer - Conduction Question 6 English Option 3
D
GATE ME 2024 Heat Transfer - Conduction Question 6 English Option 4
2
GATE ME 2023
MCQ (More than One Correct Answer)
+1
-0
Consider a laterally insulated rod of length L and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following steady-state temperature profile(s) can occur without internal heat generation? 
A
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 1
B
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 2
C
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 3
D
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 4
3
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A hollow cylinder has length $$L,$$ inner radius $${{r_1}}$$, outer radius $${{r_2}}$$, and thermal conductivity $$k.$$ The thermal resistance of the cylinder for radial conduction is
A
$${{ln\left( {{r_2}/{r_1}} \right)} \over {2\pi kL}}$$
B
$${{ln\left( {{r_1}/{r_2}} \right)} \over {2\pi kL}}$$
C
$${{2\pi kL} \over {ln\left( {{r_2}/{r_1}} \right)}}$$
D
$${{2\pi kL} \over {ln\left( {{r_1}/{r_2}} \right)}}$$
4
GATE ME 2016 Set 3
Numerical
+1
-0
Steady one-dimensional heat conduction takes place across the faces $$1$$ and $$3$$ of a composite slab consisting of slabs $$A$$ and $$B$$ in perfect contact as shown in the figure, where $${k_A},\,\,{k_B}$$ denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature $${T_2}$$ $$\left( {in\,{\,^ \circ }C\left. \, \right)} \right.$$ is ______________. GATE ME 2016 Set 3 Heat Transfer - Conduction Question 34 English
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