The magnitude of angular momentum, orbit radius and frequency of revolution of elctron in hydrogen atom corresponding to quantum number n are L, r and f respectively. Then accoding to Bohr's theory of hydrogen atom

Options

A. `upsilonr^(2)L`
B. `upsilon rL`
C. `upsilon^(2)rL`
D. `upsilonrL^(2)`

Answer

B

Explanation

For hydrogen atom, `r prop n^(2), L prop n`
Also, `L =mr^(2)omega=mr^(2)2pi upsilon`
or `upsilon=(L)/(2pimr^(2)) therefore upsilon porp (n)/((n^(2))^(2))=(1)/(n^(3)) therefore upsilon L prop (1)/(n^(3)). N^(2).n=1`
`rArr" "upsilon rL` is constant for all orbits.
`upsilon r^(2)L` is constant for all orbits.
`upsilon r^(2)L prop (1)/(n^(3)).n^(4).n=n^(2)`
`upsilon^(2)rL prop (1)/(n^(6)).n^(2).n=(1)/(n^(3))`
`upsilonrL^(2) prop (1)/(n^(3)). n^(2).n^(2)=n.`