For a particle exhibiting simple harmonic motion in 1-dimension, the uncertainty in its position in the state having the following schematic wave function is (zero point energy, Eo = \(\frac{1}{2} \hbar \omega\))
1
\(\frac{7E_O}{k}\)
2
\(\sqrt{\frac{14E_O}{k}}\)
3
\(\frac{14E_O}{k}\)
4
\(\sqrt{\frac{7E_O}{k}}\)