In a collinear collision, a particle with an initial speepd $v_0$ strikes a stationary particle of the same mass. If the final kinetic energy $50\%$ greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is :

Question

( A ) $\frac{v_0}{\sqrt{2} }$
( B ) $\frac{v_0}{2 }$
( C ) $\frac{v_0}{4}$
( D ) $\sqrt{2} v_0$