1
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Divergence of the vector field $${x^2}z\widehat i + xy\widehat j - y{z^2}\widehat k\,\,$$ at $$(1, -1, 1)$$ is
A
$$0$$
B
$$3$$
C
$$5$$
D
$$6$$
2
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
For the spherical surface $${x^2} + {y^2} + {z^2} = 1,$$ the unit outward normal vector at the point $$\left( {{1 \over {\sqrt 2 }},{1 \over {\sqrt 2 }},0} \right)$$ is given by
A
$${{1 \over {\sqrt 2 }}\widehat i + {1 \over {\sqrt 2 }}\widehat j}$$
B
$${{1 \over {\sqrt 2 }}\widehat i - {1 \over {\sqrt 2 }}\widehat j}$$
C
$${\widehat k}$$
D
$${{1 \over {\sqrt 3 }}\widehat i + {1 \over {\sqrt 3 }}\widehat j + {1 \over {\sqrt 3 }}\widehat k}$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The divergence of the vector field $$\left( {x - y} \right)\widehat i + \left( {y - x} \right)\widehat j + \left( {x + y + z} \right)\widehat k$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$
4
GATE ME 2005
MCQ (Single Correct Answer)
+1
-0.3
Stokes theorem connects
A
a line integral and a surface integral
B
a surface integral and a volume integral
C
a line integral and a volume integral
D
gradient of a function and its surface integral.
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Turbo Machinery
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Graduate Aptitude Test in Engineering
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CBSE
Class 12