if radius of 3rd orbit of Li+2 ion is x then de-Broglie wavelength of electron in 2nd orbit of He+ - Chemistry - Atomic Structure

Question

if radius of 3rd orbit of Li+2 ion is x then de-Broglie wavelength
of electron in 2nd orbit of He+ is?? fasssttttt

Vartika Jain · Accepted Answer

Dear Student,

radius of orbit=0
529×n2ZA0For the third orbit of Li2+r3=0
529×323 For the electron in second orbit of He+r2=0
529×222r3r2=32or,r2=23r3Let the radius of third orbit of Li2+ be xSo, r2=23x Now, wavelength of electron in second orbit of He2+ can be calculated asmvr2=nh2πor, mv(23x)=2h2πor,hmv=2πx3and, according to de Broglie equation,λ=hmvTherefore, λ=2πx3

if radius of 3rd orbit of Li+2 ion is x then de-Broglie wavelength of electron in 2nd orbit of He+ is?? fasssttttt