In a region where electric field exists as \[ \vec{E} = -E_0 \hat{i} \] Initially at \(t=0\), velocity of particle of mass \(m\) is \(4v_0 \hat{i\). If de-Broglie wavelength \(\lambda_0 = \dfrac{h}{4mv_0}\), find wavelength \(\lambda\) at time \(t\).}