Question

Two bodies A (of mass $1kg$) and B (of mass $3kg$) are dropped from heights of $16m$ and $25m$ respectively. The ratio of the time taken by them to reach the ground is

• A. $4/5$
• B. $5/4$
• C. $12/5$
• D. $5/12$

Answer 1

The correct option is A $4/5$

From the equation $h=ut+\frac{g{t}^2}{2}$ we get $t=\sqrt[2]{2\frac{2h}{g}}$ just by putting initial velocity $u=0$

as its independent of mass , its only dependent on height $h$

So ratio of time will beratio of square root of their respective height i.e, $4:5$ Option A