Question

Write the relationship of de Broglie wavelength λ associated with a particle of mass m in terms of its kinetic energy K.

Answer 1

 Kinetic energy of the particle, K = \(\frac{1}{2}\)mv² = \(\frac{p^2}{2m}\) 

p = \(\sqrt{2mK}\)

de-Broglie wavelength of the particle λ =\(\frac{h}{p}\) = \(\frac{h}{\sqrt{2mK}}\)