If the de Broglie wavelength of an electron is 380 nm,what is the speed of this electron? (m_electron = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J ∙ s) A)2.0 km/s B)3.8 km/s C)1.9 km/s D)4.1 km/s E)5.2 km/s

Question

Quizplus · Accepted Answer

The de Broglie wavelength, λ, of a particle is given by:

λ = h/p

where h is Planck's constant and p is the momentum of the particle. We can rearrange this equation to solve for p:

p = h/λ

The speed, v, of a particle is related to its momentum by:

p = mv

where m is the mass of the particle. Combining these equations, we get:

v = p/m = (h/λ) / m

Substituting the values given in the problem, we get:

v = (6.626 × 10^-34 J · s) / (380 × 10^-9 m) / (9.11 × 10^-31 kg)

v ≈ 1.9 km/s

Therefore, the best choice is C, with a speed of 1.9 km/s.

If the De Broglie Wavelength of an Electron Is 380