Question

Two bodies of different masses $m_a$ and $m_b$ are dropped from two different heights $a$ and $b$ respectively. Ratio of times taken by the two to drop through these distances is:

• A. $a:b$
• B. $\sqrt{b}:\sqrt{a}$
• C. $\sqrt{a}:\sqrt{b}$
• D. $a^2:b^2$

Answer 1

The correct option is C $\sqrt{a}:\sqrt{b}$

$s=\frac{1}{2}g{t}^2$

$t\propto \sqrt{s}$

So, $\frac{t_1}{t_2}=\frac{\sqrt{s_1}}{\sqrt{s_2}}=\frac{\sqrt{a}}{\sqrt{b}}$

Displacement is independent of mass.