A particle executes simple harmonic motion between `x = -A and x = + A`. The time taken for it to go from `0 to A//2 is T_1 and to go from A//2 to (A) is (T_2)`. Then.

Answer

2

Explanation

From `x=A sin omega t` , we have
`(A)/(2)=Asinomegat_(1)implies omegat_(1)=(pi)/(6)` ...(i)
Also `A=Asinomega(t_(1)+t_(2))`
`omega(t_(1)+t_(2))` ...(ii)