If `r_(1)` is the radius of the first orbit of hydrogen atom, then the radii of second, third and fourth orbitals in terms of `r_(1)` are

Options

A. `r_(1)^(2),r_(1)^(3),r_(1)^(4)`
B. `8r_(1),27r_(1),64r_(1)`
C. `4r_(1),9r_(1),16r_(1)`
D. `2r_(1),6r_(1),8r_(1)`

Answer

C

Explanation

`r_(n)=0.059n^(2)` (for H-atom)
`r_(1)=0.059(1)^(2)`
`r_(2)=0.059(2)^(2)=4r_(1)`
`r_(3)=0.059(3)^(2)=9r_(1)`
`r_(4)=0.059(4)^(2)=16r_(1)`
Ratio : `4r_(1):9r_(1),16r_(1)`