Which of the following statements about the Bohr model of the hydrogen atom is false ?

Options

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

Answer

B

Explanation

(a) `L prop (h)/(2pi)`
(c ) `P.E. = - (1)/(4piepsi_0) (e^2)/(r ) " and " K.E. = (1)/(4piepsi_0) (e^2)/(r )` ltbr. `therefore |P.E.| gt |K.E.|`
(d) `r prop n^2`
Thus (a) , (c ) and (d) are correct .
Only (b) is wrong because `E_n prop (1)/(n^2)`