In Bohr model of the hydrogen atom, let R,v and E represent the radius of the orbit, speed of the electron and the total energy respectively. Which of the following quantities are directly proportional to the quantum number n?

Options

A. `V R`
B. `R E`
C. `(T)/( R)`
D. `(V)/(E)`

Answer

A, C, D

Explanation

In Bohr's model of hydrogen atom,
`R prop n^(2)`
`V prop (1)/(n)`
T prop n^(2) and E prop (1)/(n^(2)`
VR prop n`
`TE prop n`
`(T)/( R) prop n`
`(V)/(E) xx n`