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Engineering Physics · Q82

Mathematical Physics

Engineering and GATE · Engineering Physics · question 82

Q82

If \[l = _C dz\,ln ( z ), \] where C is the unit circle taken anticlockwise and l n(z) is the principal branch of the Logarithmic function, which one of the following is correct?

If   where C is the unit circle taken anticlockwise and n(z) is the principal branch of the Logarithmic function, which one of the following is correct?
A.
= 0 by residue theorem
Answer
B.
is not defined since, n(z) has a branch cut
C.
≠ 0
D.

Answer: Option A

Solution

Answer: Option A
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