An electron beam energes from an accelerator with kinetic energy 100eV. What is its de-Broglie wavelength?
`[m = 9.1 xx 10^(-31)kg, h = 6.6 xx 10^(-34)Js, 1eV = 1.6 xx 10^(-19)J]`

Explanation

Kinetic energy of electron `=100 eV`
`100 xx1.6 xx10^(-19) J =1.6 xx 10^(-17) J` we know,
`lambda= (h)/(sqrt(2KE.m))=(6.626 xx 10^(-34))/(sqrt(2xx 1.6 xx 10^(-17) xx 9.1 xx 10^(-31) ))`
`=1.228 xx 10^(-10) m`