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A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of \( 1 \mathrm{~m} \) each will
\( \mathrm{P} \) then be [Kurukshetra CEE 1996; Similar Kerala PMT 2006]
(a) All equal, being equal to \( \sqrt{2 / g} \) second
(b) In the ratio of the square roots of the integers \( 1,2,3 \ldots \).
(c) In the ratio of the difference in the square roots of the integers i.e. \( \sqrt{1},(\sqrt{2}-\sqrt{1}),(\sqrt{3}-\sqrt{2}),(\sqrt{4}-\sqrt{3}) \ldots \)
(d) In the ratio of the reciprocal of the square roots of the integers i.e., \( \frac{1}{\sqrt{1}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{4}} \)
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