GATE EC 2015 Set 1 — Question 37
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Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl
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Question
A vector is given by . Which one of the following statements is TRUE?
Correct answer
(A) P is solenoidal, but not irrotational
Solution
To determine if the vector is solenoidal, we calculate its divergence:Since the divergence is zero, is solenoidal.To determine if it is irrotational, we calculate its curl:Since the curl is non-zero, is not irrotational. Thus, option (A) is correct.
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