Question

Calculate the wavelengthof electron moving with 1-3rd of speed of light.

Answer 1

Answer:

:

De-Broglie wavelength is calculated by using the formula:

\lambda=\frac{h}{mv}λ=mvh

where,

\lambdaλ = wavelength of electron

h = Planck's constant = 6.6\times 10^{-34}Js6.6×10−34Js

m = mass of electron = 9.1\times 10^{-31}kg9.1×10−31kg

v = velocity of electron = 1% of c=\frac{1}{100}\times 3\times 10^8 m/s=3\times 10^6 m/s1001×3×108m/s=3×106m/s

\lambda=\frac{6.6\times 10^{-34}Js}{9.1\times 10^{-31}kg\times 3\times 10^6 m/s}=2.41\times 10^{-10} mλ=9.1×10−31kg×3×106m/s6.6×10−34Js=2.41×10