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The velocity field in a fluid is given to be $\vec{V} = \left ( 4xy \right )\hat{i} + 2\left ( x^{2} - y^{2} \right )\hat{j}$. Which of the following statement$(s)$ is/are correct?

  1. The velocity field is one-dimensional.
  2. The flow is incompressible.
  3. The flow is irrotational.
  4. The acceleration experienced by a fluid particle is zero at $(x = 0,y = 0)$.
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