A paramecium is covered with motile hairs called cilia that propel it at a speed of \(1 \mathrm{~mm} / \mathrm{s}\). If the paramecium has a volume of \(2 \times 10^{-13} \mathrm{~m}^{3}\) and a density equal to that of water, what is its de Broglie wavelength when in motion? What fraction of the paramecium's \(150 \mu \mathrm{m}\) length does this wavelength represent?