Question Detail
Question
Two bodies of different masses m and m are dropped from two different heights a and b. The ratio of the times taken by the two to drop through these distances is:
Correct Answer
Option D is the correct answer.
Detailed Explanation
For a body dropped from rest, the time of fall t is related to height h by h = ½gt², so t = √(2h/g). Therefore, t is proportional to the square root of h. The ratio of times t₁ : t₂ = √a : √b. The masses are irrelevant as they cancel out.
Hint
Use the equation of motion for free fall from rest: h = ½gt².