If The function $\phi$ satisfies the Laplace equation i.e $\nabla^2\phi=0$ the what we can say about $\overrightarrow{\nabla} \phi$
$1)$.it is solenoidal but not irrotational
$2)$.it is both solenoidal and irrotational
$3)$.it is neither solenoidal nor irrotational
$4)$.it is Irrotational but not Solenoidal
The question in may book is very lenghty ,but i try to make it condense , i am not sure that i am missing important parts of this question.I have no idea about this question,I only know about the terms Laplace,irrotational and solenoidal but not at that extent so that i can solve this question.
Please help
Thank you.