What is the wavelength of an electron with a mass of 9.11*10^-31 kg moving at a speed of 3*10^6 m/s?

Answer 1

λ = h/mv

λ = wavelength = ?

h = plancks constant = 6.626x10^-34 Jsec

m = mass = 9.11x10^-31 kg

v = velocity = 3x10⁶ m/sec

λ = 6.626x10^-34 Jsec / (9.11x10^-31 kg)(3x10⁶ m/sec) = 2.42x10^-10 Jsec² / kg m

Using the definition of 1 J = 1 kg m2/sec2, we can convert our answer to meters...

2.42x10^-10 Jsec² / kg m (kg m²/sec² / J) = 2.42x10^-10 m = wavelength