A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1 m each will then be [Kurukshetra CEE 1996]

• A.             All equal, being equal to \[\sqrt{2/g}\] second
• B.             In the ratio of the square roots of the integers 1, 2, 3.....
• C. (c) In the ratio of the difference in the square roots of the integers i.e. \[\sqrt{1},\,(\sqrt{2}-\sqrt{1}),\,(\sqrt{3}-\sqrt{2}),\,(\sqrt{4}-\sqrt{3})\]...
• D.             In the ratio of the reciprocal of the square roots of the integers i.e.,.  \[\frac{1}{\sqrt{1}},\,\frac{1}{\sqrt{2}},\frac{1}{\sqrt{3}},\,\frac{1}{\sqrt{4}}\]