Question

The ratio of times taken by a freely falling body to travel first 5m, second 5m, third 5m distances is

• A. $1 : \sqrt{2} : \sqrt{3}$
• B. $1 : \sqrt{2}-1 : \sqrt{3}-2$
• C. $1 : \sqrt{3} : \sqrt{5}$
• D. $1 : \sqrt{2}-1 : \sqrt{3}-\sqrt{2}$

Hint:

Galileo's Law of Odd Numbers states that for equal *time intervals*, distances are in ratio $1:3:5$. Conversely, for equal *distance intervals*, the time intervals are in ratio $1 : (\sqrt{2}-1) : (\sqrt{3}-\sqrt{2}) : \dots$

Answer 1

The Correct Option is D