1
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
2
GATE ME 2005
+1
-0.3
In case of one dimensional heat conduction in a medium with constant properties, $$T$$ is the temperature at position $$x,$$ at time $$t.$$ Then $${{\partial T} \over {\partial t}}$$ is proportional to
A
$${T \over x}$$
B
$${{\partial T} \over {\partial x}}$$
C
$${{{\partial ^2}T} \over {\partial x\partial t}}$$
D
$${{{\partial ^2}T} \over {\partial {x^2}}}$$
3
GATE ME 2004
+1
-0.3
One dimensional unsteady state heat transfer equation for a sphere with heat generation at the rate $$'{q_g}',$$ can be written as
A
$${1 \over {r^2}}\,{\partial \over {\partial r}}\left( {r{{\partial T} \over {\partial r}}} \right) + {q \over k} = {1 \over \alpha }\,{{\partial T} \over {\partial t}}$$
B
$${1 \over {r^2}}\,{\partial \over {\partial r}}\left( {{r^2}{{\partial T} \over {\partial r}}} \right) + {q \over k} = {1 \over \alpha }\,{{\partial T} \over {\partial t}}$$
C
$${{{\partial ^2}T} \over {\partial {r^2}}} + {q \over k} = {1 \over \alpha }\,{{\partial T} \over {\partial t}}$$
D
$${{{\partial ^2}} \over {\partial {r^2}}}\left( {rT} \right) + {q \over k} = {1 \over \alpha }\,{{\partial T} \over {\partial t}}$$
4
GATE ME 2001
+1
-0.3
In descending order of magnitude, the thermal conductivity of $$(a)$$ Pure iron, $$(b)$$ liquid water, $$(c)$$ saturated water vapour, and $$(d)$$ aluminum can be arranged as
A
$$a\,\,b\,\,c\,\,d$$
B
$$b\,\,c\,\,a\,\,d$$
C
$$d\,\,a\,\,b\,\,c$$
D
$$d\,\,c\,\,b\,\,a$$
GATE ME Subjects
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Turbo Machinery
Heat Transfer
Thermodynamics
Production Engineering
Industrial Engineering
General Aptitude
EXAM MAP
Joint Entrance Examination