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To calculate the de Broglie wavelength of a \(^{87}\text{Rb}\) atom at 200 µK, we follow these steps: --- ### Step 1: Understand the de Broglie wavelength formula The de Broglie wavelength (\(\lambda\)) is given by: \[ \lambda = \frac{h}{p} \] where: - \(h\) is Planck's constant (\(h = 6.626 \times 10^{-34} \, \text{J·s}\)), - \(p\) is the momentum of the atom. --- ### Step 2: Relate momentum to kinetic energy The kinetic energy (\(E_k\)) of the atom is related to its momentum (\(p\)) ___ _____ ________ __________ _______ _________ _______ ________ _______ ______ _____.
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