The normalized wavefunction in the momentum space of a particle in one dimension is \(\phi(p)=\frac{\alpha}{p^2+\beta^2}\), where α and β are real constants. The uncertainty Δx in measuring its position is
1
\(\sqrt{\pi} \frac{\hbar \alpha}{\beta^2}\)
2
\(\sqrt{\pi} \frac{\hbar \alpha}{\beta^3}\)
3
\(\frac{\hbar}{\sqrt{2} \beta}\)
4
\(\sqrt{\frac{\pi}{\beta}} \frac{\hbar \alpha}{\beta}\)