Vidyalelo
Engineering Maths · Q208

Calculus

Engineering and GATE · Engineering Maths · question 208

Q208

Given a vector \[ u = 1/3 ( - y^3 i + x^3 j + z^3 k )\] and \[ n\] as the unit normal vector to the surface of the hemisphere (x2 + y2 + z2 = 1; z ≥ 0), the value of integral \[ ( × u ) n dS\] evaluated on the curved surface of the hemisphere S is

Given a vector     and as the unit normal vector to the surface of the hemisphere (x2 + y2 + z2 = 1; z ≥ 0), the value of integral    evaluated on the curved surface of the hemisphere S is
A.
B.
Answer
C.
D.

Answer: Option B

Solution

Answer: Option B
No explanation is given for this question Let's Discuss on Board