1
GATE ME 2013
+1
-0.3
Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by $$k = {k_0} + bT;$$ where $${k_0}$$ and $$b$$ are positive constants, and $$T$$ is temperature.

As $$x$$ increases, the state temperature gradient $$(dT/dx)$$ will

A
remain constant
B
be zero
C
increase
D
decrease
2
GATE ME 2013
+1
-0.3
Consider one-dimensional steady state heat conduction along x-axis $$\left( {0 \le x \le L} \right),$$ through a planewall with the boundary surfaces $$(x=0$$ and $$x=L)$$ maintained at temperatures of $${0^ \circ }C$$ and $${100^ \circ }C$$. Heat is generated uniformly throughout the wall. Choose the CORRECT statement.
A
The direction of heat transfer will be from the surface at 100°C to the surface at $${0^ \circ }C$$.
B
The maximum temperature inside the wall must be greater than $${100^ \circ }C$$.
C
The temperature distribution is linear within the wall.
D
The temperature distribution is symmetric about the mid-plane of the wall.
3
GATE ME 2011
+1
-0.3
A pipe of $$25$$ $$mm$$ outer diameter carries steam. The heat transfer coefficient between the cylinder and surrounding is $$5$$ $$W/{m^2}K.$$ It is propsed to reduce the heat loss from the pipe by adding insulation having a thermal conductivity of $$0.05$$ $$W/mK$$. Which one of the following statements is TRUE?
A
The outer radius of the pipe is equal to the critical radius.
B
The outer radius of the pipe is less than the critical radius.
C
Adding the insulation will reduce the heat loss.
D
Adding the insulation will increase the heat loss.
4
GATE ME 2006
+1
-0.3
In a composite slab, the temperature at the interface (Tinter) between two materials is equal to the average of the temperatures at the two ends. Assuming steady one-dimensional heat conduction, which of the following statements is true about the respective thermal conductivities?
A
$$2{K_1} = {K_2}$$
B
$${K_1} = {K_2}$$
C
$$2{K_1} = 3{K_2}$$
D
$${K_1} = 2{K_2}$$v
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