A particle is dropped from certain height. The time taken by it to fall through successive distance of 1 m each will be

Options

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. In the ratio of the difference in the square roots of the integers i.e. `sqrt1 , (sqrt2 - sqrt1), (sqrt3 - sqrt2) , (sqrt4 - sqrt3)` ……
D. In the ratio of the reciprocal of the square roots of the integers i.e.,. `(1)/(sqrt1), (1)/(sqrt2) , (1)/(sqrt3) , (1)/(sqrt4)`

Answer

C

Explanation

In the ratio of the difference in the square roots of the integers i.e. `sqrt1 , (sqrt2 - sqrt1), (sqrt3 - sqrt2) , (sqrt4 - sqrt3)` ……