Statement (I): Given a flow with velocity field $\overrightarrow {v,} \nabla \times \vec v = 0,$ if the flow is incompressible.Statement (II): Given a flow velocity field $\vec v,\nabla .\left( {\nabla \times \vec v} \right) = 0.$

Question

Statement (I): Given a flow with velocity field $\overrightarrow {v,} \nabla \times \vec v = 0,$ if the flow is incompressible.Statement (II): Given a flow velocity field $\vec v,\nabla .\left( {\nabla \times \vec v} \right) = 0.$

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NA

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Both Statements (I) and Statement (II) are individually true and Statement (II) is the correct explanation of statement(I)

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Both statement (I) and statement (II) are individually true but statement (II) is Not the correct explanation of statement(I)

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Statement (I) is true but statement (II) is false

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Statement (I) is false but statement (II) is true

1.	Statement (I): Given a flow with velocity field \(\overrightarrow {v,} \nabla \times \vec v = 0,\) if the flow is incompressible.Statement (II): Given a flow velocity field \(\vec v,\nabla .\left( {\nabla \times \vec v} \right) = 0.\)
A.	Both Statements (I) and Statement (II) are individually true and Statement (II) is the correct explanation of statement(I)
B.	Both statement (I) and statement (II) are individually true but statement (II) is Not the correct explanation of statement(I)
C.	Statement (I) is true but statement (II) is false
D.	Statement (I) is false but statement (II) is true
Answer» E.

Statement (I): Given a flow with velocity field \(\overrightarrow {v,} \nabla \times \vec v = 0,\) if the flow is incompressible.Statement (II): Given a flow velocity field \(\vec v,\nabla .\left( {\nabla \times \vec v} \right) = 0.\)

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