If a vector field →A is said to be solenoidal, then which one of the following relation is true ?
A
∮L→A.−→dL=0
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B
▽×→A≠0
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C
∮s→A.→ds=0
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D
▽×→A=0
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Solution
The correct option is C∮s→A.→ds=0 (c)
If the divergence of a given vector is zero, then it is said to be solenoidal ▽.→A=0
By Divergence theorem, ∫v(▽.→A)dv=∮s→A.→ds