1
GATE ME 2020 Set 1
Numerical
+1
-0
In a concentric tube counter-flow heat exchange, hot oil enters at 102°C and leaves at 65°C. Cold water enters at 25°C and leaves at 42°C. The log mean temperature difference (LMTD) is ________ °C (Round off to one decimal place).
Your input ____
2
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+2
-0.66

A vector field is defined as

$$\vec f\left( {x,y,z} \right) = \frac{x}{{{{\left[ {{x^2} + {y^2} + {z^2}} \right]}^{\frac{3}{2}}}}}\hat i + \frac{y}{{{{\left[ {{x^2} + {y^2} + {z^2}} \right]}^{\frac{3}{2}}}}}\hat j + \frac{z}{{{{\left[ {{x^2} + {y^2} + {z^2}} \right]}^{\frac{3}{2}}}}}\hat k$$

where î, ĵ, k̂ are unit vectors along the axes of a right-handed rectangular/Cartesian coordinate system. The surface integral $$\smallint \smallint \vec f.d\vec S$$ (Where $$d\vec S$$ is an elemental surface area vector) evaluated over the inner and outer surfaces of a spherical shell formed by two concentric spheres with origin as the centre, and internal and external radii of 1 and 2, respectively, is
A
0
B
C
D
3
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+1
-0.33
Change Language
Which of the following function f(z), of the complex variable z, is NOT analytic at all the points of the complex plane?
A
f(z) = z2
B
f(z) = e
C
f(z) = sin z
D
f(z) = log z
4
GATE ME 2020 Set 1
MCQ (Single Correct Answer)
+1
-0.33
The base of a brass bracket needs rough grinding. For this purpose, the most suitable grinding wheel grade specification is
A
C30Q12V
B
A50G8V
C
C90J4B
D
A30D12V
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