A wire in the shape of a parabola $y=k{x}^2$ is in a uniform magnetic field B perpendicular to the plane xy. A jumper (horizontal rod) starts with a constant acceleration a from the apex of the parabola. The emf $\left(\epsilon \right)$ induced in the formed loop as a function of the coordinate y is $\epsilon =By\sqrt{\frac{pa}{k}}.$ Find value of ‘p’?