If a particle is represented by a wavefunction of \(\psi(x) = \frac{\sqrt{15}}{4 a^{5/2}} (a^2 -x^2) , -a < x < a \). the uncertainty in space should be:
1
\(\Delta \hat{x} \ge 0.5 a \)
2
\(\Delta \hat{x} \ge 0.3 a \)
3
\(\Delta \hat{x} \ge 0.6 a \)
4
\(\Delta \hat{x} \ge 0.4 a \)
5
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