Which one of the following gives the de Broglie wavelength of a non-relativistic…

PHYSICS · Single correct · A Level · Physics · Particles and radiation · Particles and radiation

Problem

Which one of the following gives the de Broglie wavelength

\lambda

of a non-relativistic particle directly in terms of its kinetic energy

E_k

and mass

m

? (a)

\lambda = \dfrac{h}{\sqrt{mE_k}}

(b)

\lambda = \dfrac{h}{2\sqrt{mE_k}}

(c)

\lambda = \dfrac{h}{\sqrt{2mE_k}}

(d)

\lambda = \dfrac{hc}{E_k}