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A particle is dropped from rest from a large height. Assume \( g \) to be constant throughout the motion. The time taken by it to fall through successive distances of \( 1 \mathrm{~m} \) each will be
(1) All equal, being equal to \( \sqrt{2 / g} \) second
(2) In the ratio of the square roots of the integers \( 1,2,3, \ldots \).
(3) In the ratio of the difference in the square roots of the integers, i.e., \( \sqrt{1},(\sqrt{2}-\sqrt{1}),(\sqrt{3}-\sqrt{2}),(\sqrt{4}-\sqrt{3}), \ldots \)
(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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