Which one of the following expressions correctly gives the de Broglie wavelength of a…

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

Problem

Which one of the following expressions correctly gives the de Broglie wavelength

\lambda

of a particle of mass

m

and charge

q

that is accelerated from rest through a potential difference

V

? (a)

\displaystyle \lambda = \dfrac{h}{\sqrt{m q V}}

(b)

\displaystyle \lambda = \dfrac{h}{2\sqrt{m q V}}

(c)

\displaystyle \lambda = \dfrac{h}{2\pi\sqrt{2 m q V}}

(d)

\displaystyle \lambda = \dfrac{h}{\sqrt{2 m q V}}