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A particle is dropped from a certain height. The time taken by it to fall through successive distances of 1
P \( \mathrm{km} \) each will be:

W
(1) All equal, being equal to \( \sqrt{\frac{2}{g}} \) second.
(2) In the ratio of the square roots of the integers \( 1: \sqrt{2}: \sqrt{3} \)
(3) In the ratio of the difference in the square roots of the integers, i.e., \( \sqrt{1},(\sqrt{2}-\sqrt{1}) \), \( (\sqrt{3}-\sqrt{2}),(\sqrt{4}-\sqrt{3}) \ldots \ldots \)
(4) In the ratio of the reciprocals of the square roots of the integers, i.e., \( \frac{1}{\sqrt{1}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{3}}, \ldots \)
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