Mechanical Engineering > GATE 2022 SET-1 > Vector Calculus
Given a function ๐œ‘ = 1/2(x2 + y2 + z2) in three-dimensional Cartesian space, the value of the surface integral
where ๐‘† is the surface of a sphere of unit radius and ๐ง' is the outward unit normal vector on ๐‘†, is
A
4ฯ€
B
3ฯ€
C
4ฯ€/3
D
0

Correct : a

Similar Questions

The directional derivative of the function f(x, y) =x2+y2 along a line directed from (0,0) to (1,1), evaluated at the point x = 1, y = 1 is
#97 MCQ
A vector field B(x,y,z)=xรฎ+yฤต-2zk is defined over a conical region having height h=2, base radius r=3 and axis along z, as shown in the figure. The base of the...
#239 Fill in the Blanks
The integral is evaluated along the circle x2 + y2 = 1/4 traversed in counter clockwise direction. The integral is equal to
#396 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......