Vector potential — UPSC IFoS 2024 Physics PYQ

For a vector potential \vec{A}, \vec{\nabla} \cdot \vec{A} = -\frac{\mu_0}{4\pi} \cdot \frac{Q}{r^2} where Q is a constant of appropriate dimension. Calculate the corresponding scalar potential \phi (\vec{r}, t), that make \vec{A} and \phi to satisfy Lorentz gauge.