• # question_answer A simple oscillator has an amplitude A and time period T. The time required by it to travel from x = A to $x=\frac{A}{2}$ is :- A)  $\frac{T}{2}$                  B)  $\frac{T}{3}$C)  $\frac{T}{4}$                   D)  $\frac{T}{6}$

$x=A\,\,\cos \omega t$ but $x=\frac{A}{2}$ so $\frac{A}{2}=A\,\cos \frac{2\pi }{T}\,t$ $\Rightarrow$$\frac{2\pi }{T}\,t=\frac{\pi }{3}\Rightarrow t=\frac{T}{6}$