If the governing equation for a flow field is given by \[{{\nabla }^{2}}\phi \,=\,0\] and the velocity is given by \[\overrightarrow{V}\,=\,\nabla \phi ,\] the:

\[\nabla \times \overrightarrow{V}=1\]

\[\nabla \times \overrightarrow{\nabla }=0\]

\[(\overrightarrow{\nabla }.\nabla )\,\overrightarrow{\nabla }=\frac{\partial \,\overrightarrow{\nabla }}{\partial \,t}\]

If the governing equation for a flow field is given by \[{{\nabla }^{2

1.	If the governing equation for a flow field is given by \[{{\nabla }^{2}}\phi \,=\,0\] and the velocity is given by \[\overrightarrow{V}\,=\,\nabla \phi ,\] the:
A.	\[\nabla \times \overrightarrow{\nabla }=0\]
B.	\[\nabla \times \overrightarrow{V}=1\]
C.	2, 3 and 4 only
D.	\[(\overrightarrow{\nabla }.\nabla )\,\overrightarrow{\nabla }=\frac{\partial \,\overrightarrow{\nabla }}{\partial \,t}\]
Answer» B. \[\nabla \times \overrightarrow{V}=1\]

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If the governing equation for a flow field is given by \[{{\nabla }^{2}}\phi \,=\,0\] and the velocity is given by \[\overrightarrow{V}\,=\,\nabla \phi ,\] the:

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