In Bohr's model of hydrogen atom ,

Options

A. the radius of nth orbit is proportional to `n^(2)`
B. the total energy of electron in nth orbit is proportional to `n`
C. the amgular momentum of the electron in an orbit is an integral multiple of `h//2 pi`
D. the magnitude of the potential energy of an electron in any orbit is greater than its kinetic energy

Answer

A, C, D

Explanation

a.`r_(n) = (n^(2) h^(2))/(4 pi^(2) m K e^(2)) , i.e. r_(n) prop n^(2)`
c. Bohr's `2 ^(nd) postulate, m v r = (n h)/(2 pi)`
d. `K_(n) = (KZe^(2))/(2 r_(n)), U_(n) = (KZe^(2))/(r_(n))`