Question

Time taken by an object falling from rest to cover the height of $h_{1}$ and $h_{2}$ is respectively $t_{1}$ and $t_{2}$ then the ratio of $t_{1}$ to $t_{2}$ is

• A. $h_{1}\mspace{6mu}:\mspace{6mu} h_{2}$
• B. $\sqrt{h_{1}}\mspace{6mu}:\mspace{6mu}\sqrt{h_{2}}$
• C. $h_{1}\mspace{6mu}:\mspace{6mu} 2h_{2}$
• D. 2h₁ : h₂

Answer 1

Answer: (B)

$\sqrt{h_{1}}\mspace{6mu}:\mspace{6mu}\sqrt{h_{2}}$

Answer 2

$t = \sqrt{\frac{2h}{g}} \Rightarrow \frac{t_{1}}{t_{2}} = \sqrt{\frac{h_{1}}{h_{2}}}$