(a) Using the Bohr's model, calculate the speed of the electron in a hydrogen atom in the n=1,2 and 3 levels. (b) Calculate the orbital period in each of these levels.

Explanation

Orbital period, `T=(2pi r)/(V)," As"r_(1)=0.53xx10^(-10)m`
`T_(1)=(2pixx0.53xx10^(-10))/(2.19xx10^(6))=1.52xx10^(-10)S.`
As `r_(2)=4r_(1) and V_(2)=(1)/(2) V_(1)`
`T_(2)=8T_(1)=8xx1.52xx10^(-6)S=1.216xx10^(-15)S`
As `T_(3)=9r_(1) and V_(3)=(1)/(3) V_(1)`
`therefore T_(3)=2tauT_(1)=27xx1.52xx10^(-16)S=4.1xx10^(-15) S`