Which of the following statements correctly relate the kinetic energy () of a moving particle to its — Atomic Structure Chemistry Question

💡 Solution & Explanation

The relationship is $\lambda = \frac{h}{\sqrt{2mE}}$. This shows $\lambda \propto E^{-1/2}$, or $E \propto \lambda^{-2}$. If $E$ becomes $4E$, the new wavelength $\lambda' = \frac{h}{\sqrt{2m(4E)}} = \frac{1}{2} \frac{h}{\sqrt{2mE}} = \frac{\lambda}{2}$. Thus, options A, B, and C are correct, while D is incorrect.