Question

Find the de-Broglie wavelength (inÅ) associated with an electron moving with a velocity 0.6c, where `c=3xx10^8 m//s` and rest mass of electron `=9.1xx10^(-31)kg, h=6.63xx10^(-34)Js`.

Answer 1

Here, `m_(0)=9.1xx10^(-31)kg, h=6.63xx10^(-34)Js, v=0.6c or v//c=0.6`
Since, electron is moving with a speed comparable to the velocity of light, so
`lambda=h/(mv)=(hsqrt(1-v^(2)//c^(2)))/(m_(0)v)= (6.63xx10^(-34)sqrt(1-(0.6)^(2)))/(9.1xx10^(-31)xx(0.6xx3xx10^(8)))=3.24xx10^(-12)m`