In the Borh model of the hydrogen atom, let R,V and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n ?

Options

A. E/V
B. R/E
C. VR
D. RE

Answer

C

Explanation

Acccording to Bohr.s postulates of atomic structure, the angular momentum of the electron in a stable orbit is integral multiple of `h//2pi`.
`therefore`Angular momentum, `J=mvR=nh//2pi`
or, `vR=nh//2pim`.
where h is Planck.s constant, m is the mass of electron.
`thereforeh//2pim` is constant.
`thereforevRpropn` (n is the quantum number).