Question

A body is dropped from a height h on to the floor makes elastic collision with the floor. The frequency of oscillation of its periodic motion is

• A. $\sqrt{g/2h}/2$
• B. $\sqrt{2h/g}/2$
• C. $\sqrt{g/2h}/2\pi$
• D. $2\pi \sqrt{g/2h}$

Answer 1

The correct option is A $\sqrt{g/2h}/2$

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

$t=\sqrt{\frac{2h}{g}}$
$T=2t=2\sqrt{\frac{2h}{g}}$
$f=\frac{1}{T}=\frac{1}{2}\sqrt{\frac{g}{2h}}$