An electron and proton have the same de-broglie wavelength. Which one of these has higher kinetic energy? Which one is moving faster?

Explanation

Let m and K be the mass and kinetic energy of a particle. Its de-Broglie wavelength is
`lambda=h/(sqrt(2mK)) or lambda^2=(h^2)/(2mK) or K=(h^2)/(2mlambda^2)`
i.e., `K prop1/m :' lambda` is for particles
`(K_e)/(K_p) =(m_p)/(M_e)gt1 or K_egtK_p`
Thus kinetic energy of electron is greater than that of proton. So the electron is moving faster.