A large tank filled with water to a height ‘h’ is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to $\frac{\mathrm{h}}{2}$ and from $\frac{\mathrm{h}}{2}$ to zero is

(a) $\sqrt{2}$                                               (b) $\frac{1}{\sqrt{2}}$

(c) $\sqrt{2}-1$                                          (d) $\frac{1}{\sqrt{2}-1}$

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