For a two-dimensional flow, the velocity field is $\vec{u}=\frac{x}{x^{2}+y^{2}}\hat{i}+\frac{y}{x^{2}+y^{2}\hat{j}}$
, where $\hat{i}$ and $\hat{i\hat{j}}$ are the basis vectors in the x–y Cartesian coordinate system. Identify the CORRECT statements from below.
(1) The flow is incompressible
(2) The flow is unsteady
(3) y-component of acceleration,
$a_{y}=\frac{-y}{\left ( x^{2}+y^{2} \right )^{2}}$
(4) x-component of acceleration,
$a_{x}=\frac{-\left ( x+y \right )}{\left ( x^{2}+y^{2} \right )^{2}}$
(a) (2) and (3) (b) (1) and (3)
(c) (1) and (2) (d) (3) and (4)