Solution:
Using \(\lambda = \frac{h}{\sqrt{2mK}}\), when kinetic energy \(K\) becomes \(16K\), the new wavelength becomes \(\lambda' = \frac{\lambda}{4}\). The percentage decrease is \(\frac{\lambda - \lambda/4}{\lambda} \times 100\% = 75\%\).
Using \(\lambda = \frac{h}{\sqrt{2mK}}\), when kinetic energy \(K\) becomes \(16K\), the new wavelength becomes \(\lambda' = \frac{\lambda}{4}\). The percentage decrease is \(\frac{\lambda - \lambda/4}{\lambda} \times 100\% = 75\%\).
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