The wavelength of an electron whose velocity is 1.7 × 10⁴ m/s and whose mass is 9.1 × 10^-28 g is ________ m. A)4.3 × 10^-11 B)12 C)4.3 × 10^-8 D)2.3 × 10⁷ E)2.3 × 10^-7

Question

Quizplus · Accepted Answer

The de Broglie wavelength of an electron is given by the formula:

λ = h/mv

where h is Planck's constant, m is the mass of the electron, and v is the velocity of the electron.

Substituting the given values, we get:

λ = (6.626 × 10^-34 m^2 kg/s) / (9.1 × 10^-31 kg) × (1.7 × 10^6 m/s)
   = 4.27 × 10^-8 m
   = 4.3 × 10^-8 m (to two significant figures)
   
Therefore, the answer is (C), 4.3 × 10^-8 m.

The Wavelength of an Electron Whose Velocity Is 1