Physics

Problem

(i) Derive an expression for the ratio of the de Broglie wavelengths of two particles of masses

m_1

and

m_2

when both have the same kinetic energy. (ii) Using this result, find the approximate value of

\dfrac{\lambda_{\text{electron}}}{\lambda_{\text{proton}}}

when each particle has a kinetic energy of

200\,\text{eV}