A particle executes linear simple harmonic motion with an amplitude of 2 cm. when the particle is at 1 cm from the mean position, the magnitude of the velocity and the acceleration are equal. Then its item period (in seconds) is
1
\(\frac{{2\pi }}{{\sqrt 3 }}\;\)
2
\(\frac{{\sqrt 3 }}{{2\pi }}\)
3
\(\frac{{\sqrt 3 }}{\pi }\)
4
\(\frac{1}{{2\pi \sqrt 3 }}\)