Question

An electron of hydrogen atom is considered to be revolving round a proton in circular orbit of radius with velocity where thecurrent i is

Answer 1

your question is incomplete. A complete question is -----> An electron in a hydrogen atom is considered to be revolving around a proton with a velocity e²/n in a circular orbit of radius n²/me⁴. If I is the equivalent current, express it in terms of m, e, n (n = h/2π).

solution :  velocity of electron revolving around a proton with velocity , v = e²/n and radius of circular orbit , r = n²/me⁴

so, time taken by electron to revolve around a proton , t = distance travelled by electron/speed of electron

= 2πr/v

= 2π {n²/me⁴}/{e²/n}

= 2πn³/me^6

now current = charge/time

= e/t

= e/{2πn³/me^6}

= me^7/2πn³