A particle is executing simple harmonic motion with time period T. What is the time taken by the particle to go directly to \(\frac{1}{{\sqrt 2 }}\) of its amplitude from its mean position?
1
\(\frac{T}{{ 8 }}\)
2
\(\frac{T}{{ 4 }}\)
3
\(\frac{T}{{ 12 }}\)
4
T