What is the wavelength associated with electrons traveling at one one-hundredth the speed of light? A)243 nm B)0.243 nm C)412 nm D)7.98 × 10^-2 nm E)12.5 nm

Question

Quizplus · Accepted Answer

The de Broglie wavelength is given by λ = h/mv, where h is Planck's constant, m is the mass of the particle, and v is its velocity. For electrons traveling at one one-hundredth the speed of light, we have v = c/100. The mass of an electron is 9.11 × 10^-31 kg. Thus, λ = h/(m c/100) = hc/(100 mev), where mev is the mass of an electron in eV/c^2 units. Plugging in the known constants, we get λ = 0.0243 nm, which is closest to answer choice B.

What Is the Wavelength Associated with Electrons Traveling at One