If r is radius of first orbit , the radius of nth orbit of the H atom will be

Options

A. `rn^(2)`
B. `rn`
C. `(r)/(n)`
D. `r^(2)n^(2)`

Answer

A

Explanation

(a) Radius of an orbit,
`r_(n)=(n^(2)h^(2))/(4pi^(2)me^(2)Z)=(0.529 n^(2))/(Z)Å`
For H-atom, Z=1
If `r_(1)=r " " ` (according to question `r_(1)`=r)
`:. " " r_(n)=(rxxn^(2))/(1)=rn^(2)`