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Given a vector and nˆ 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)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Given a vectorand nˆ as the unit normal vector to the surface of ...
Hemisphere (x2 + y2 + z2 = 1;z ≥0)

To find the integration of the given expiration, it is easy if we are using the stoke’s theorem.
Surface integral will become line integral.

Now, putting the value of u in the above equation.


Now converting the above equation into polar coordinate
x2+y2=r2
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Given a vectorand nˆ as the unit normal vector to the surface of thehemisphere (x2 + y2 + z2 = 1;z ≥0), the value of integralevaluated on thecurved surface of the hemisphere S isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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Given a vectorand nˆ as the unit normal vector to the surface of thehemisphere (x2 + y2 + z2 = 1;z ≥0), the value of integralevaluated on thecurved surface of the hemisphere S isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Given a vectorand nˆ as the unit normal vector to the surface of thehemisphere (x2 + y2 + z2 = 1;z ≥0), the value of integralevaluated on thecurved surface of the hemisphere S isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given a vectorand nˆ as the unit normal vector to the surface of thehemisphere (x2 + y2 + z2 = 1;z ≥0), the value of integralevaluated on thecurved surface of the hemisphere S isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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