A particle executes simple harmonic motion between $x =- A$ and $x =+ A$. If time taken by particle to go from $x=0$ to $\frac{A}{2}$ is $2 s$; then time taken by particle in going from $x =\frac{ A }{2}$ to $A$ is $.........\,s$
JEE MAIN 2023, Medium
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Let time from 0 to $A / 2$ is $t _1$
from $A / 2$ to $A$ is $t _2$ then $\omega t _1=\pi / 6$
$\omega t _2=\pi / 3$
$\frac{ t _1}{ t _2}=\frac{1}{2}$
$t _2=2 t _1=2 \times 2=4\,sec$
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