Q.
Two bodies of different masses $m_{a}\ $and $m_{b}$ are dropped from two different heights $a$ and $b$. The ratio of the time taken by the two to cover these distances are
A) $a\ :b$
B) $b\ :a$
C) $\sqrt{a}\ :\ \sqrt{b}$
D) $a^{2}\ :b^{2}$
Explanation
(c) $h = \frac{1}{2}gt^{2} \Rightarrow t = \sqrt{2h/g}$
$t_{a} = \sqrt{\frac{2a}{g}}$ and $t_{b} = \sqrt{\frac{2b}{g}} \Rightarrow \frac{t_{a}}{t_{b}} = \sqrt{\frac{a}{b}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.