Angular momentum `(L)` and radius `( r)` of a hydrogen atom are related as

Options

A. `Lr = constant`
B. `Lr^(2) = constant`
C. `Lr^(4) = constant`
D. none of these

Answer

D

Explanation

`r = (epsilon_(0) n^(2) h^(2))/(e^(2) pi m)`
`= (epsilon_(0) (2 pi L)^(2))/(e^(2) pi m) (L = n (h)/(2 pi) or nh = 2 pi L)`
`:. Lr ^(-(1)/(2)) = constant`