GATE ME 2024 | Conduction Question 1 | Heat Transfer

GATE ME 2024

MCQ (Single Correct Answer)

-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 Option 1

GATE ME 2024 Heat Transfer - Conduction Question 6 English Option 2

GATE ME 2024 Heat Transfer - Conduction Question 6 English Option 3

GATE ME 2024 Heat Transfer - Conduction Question 6 English Option 4

GATE ME 2023

MCQ (More than One Correct Answer)

-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?

GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 1

GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 2

GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 3

GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 4

GATE ME 2016 Set 1

MCQ (Single Correct Answer)

-0.3

A plastic sleeve of outer radius $${r_0} = 1\,\,mm$$ covers a wire (radius $$r = 0.5$$ $$mm$$) carrying electric current. Thermal conductivity of the plastic is $$0.15\,\,W/m$$-$$K$$. The heat transfer coefficient on the outer surface of the sleeve exposed to air is $$25$$ $$W/{m^2}$$-$$K$$. Due to the addition of the plastic cover, the heat transfer from the wire to the ambient will

increases

remain the same

decreases

be zero

GATE ME 2016 Set 2

MCQ (Single Correct Answer)

-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

$${{ln\left( {{r_2}/{r_1}} \right)} \over {2\pi kL}}$$

$${{ln\left( {{r_1}/{r_2}} \right)} \over {2\pi kL}}$$

$${{2\pi kL} \over {ln\left( {{r_2}/{r_1}} \right)}}$$

$${{2\pi kL} \over {ln\left( {{r_1}/{r_2}} \right)}}$$