A ball initially at rest is given a sharp horizontal impulse at a height h above the centre of the ball. As a result, the ball immediately begins to roll without slipping. If the ball is a solid sphere, the height ${\text{h=h}}_{\text{1}}$  while if the ball is a hollow sphere, the height ${\text{h=h}}_{\text{2}}$ . Find  $\frac{{\text{h}}_{\text{1}}}{{\text{h}}_{\text{2}}}$