An electron has the same de Broglie wavelength as a 390 nm photon.The speed of the electron is closest to:
A)1900 m/s
B)2100 m/s
C)1700m/s
D)1500 m/s
E)540 m/s

Question

Quizplus · Accepted Answer

The de Broglie wavelength λ is given by λ = h/p, where h is Planck's constant and p is momentum. For a photon, λ = c/f, where c is the speed of light. Equating the two expressions for λ and solving for the electron's speed v, we find v = h/(mλ). Substituting the given values, the speed is closest to 1900 m/s.

An Electron Has the Same De Broglie Wavelength as a 390