b) Calculate the deBroglie wavelength of a atom that has been laser cooled to
(Assume that the kinetic energy is
To calculate the de Broglie wavelength of a \(^{87}\text{Rb}\) atom that has been laser cooled to \(120\pi \, K\), we'll use the formula for the de Broglie wavelength:
\[
\lambda = \frac{h}{p}
\]
where:
- \(h\) is the Planck constant (\(6.62607015 \times 10^{-34}\) m\(^2\) kg / s),
- \(p\) is the momentum of the atom.
The momentum \(p\) can be related to the kinetic energy \(K\) using the equation:
\[
K = \frac{p^2}{2m}
\]
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