$A$ 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

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