The radius of innermost electron orbit of a hydrogen atom is `5.3xx10^(-11)m`. What are the radii of n=2 and n=3 orbits.?

Explanation

Given , radius of innermost electron orbit , `r_0=5.3xx10^(-11)`m
radius of `n^(th)` orbit is given by
`r_n=n^2r_0`
For n=2
`r_2=4xxr_0=4xx5.3xx10^(-11)`
`rArr r_2=2.12xx10^(-10)`m
For n=3
`r_3=9r_1=9xx5.3xx10^(-11)`
`rArr r_3=4.77xx10^(-10)` m .