Question

Two objects of masses $m_1$ and $m_2$ having the same size are dropped simultaneously from heights $h_1$ and $h_2$ respectively. Find out the ratio of time they would take in reaching the ground.

• A. $\sqrt{\frac{h_1}{h_2}}.$
• B. $\sqrt{\frac{h_2}{h_1}}.$
• C. $\frac{h_1}{h_2}.$
• D. $\frac{h_2}{h_1}.$

Answer 1

The correct option is A $\sqrt{\frac{h_1}{h_2}}.$

Gravitational acceleration of the objects will not depend on their mass or size and hence it will remain same for all the objects.

$h_1=u_1{t}_1+\frac{1}{2}a{t}_1^2$

$h_2=u_2{t}_2+\frac{1}{2}a{t}_2^2$

$u_1=u_2=0$

$\frac{t_1}{t_2}=(\frac{h_1}{h_2}{)}^{\frac{1}{2}}$